Highlighted Papers / Colloquium Papers Highlighted Papers are articles selected by the Editorial Board to increase the visibility of what are deemed to be especially important papers. The full PDF of the Highlighted Papers can be viewed and downloaded from this page free of charge. Every Highlighted Paper is introduced by a short paragraph explaining the novelty and particular importance of the published work.
A further subset of Highlighted Papers is "Colloquium Papers". They describe the development of new areas of research or the impact of new and promising experimental or theoretical methods in the fields that are within the spectrum of topics covered by the journal. While not as extensive and complete as reviews in the usual sense, they are intended to suitably introduce new research directions and techniques in their early stage of development to a wider audience.
Complex polymer rings with breathtaking nanoscale architecture revealed Dynamics of interacting edge defects in copolymer lamellae. J.D. McGraw, I.D.W. Rowe, M.W. Matsen, and K. Dalnoki-Veress, Eur. Phys. J. E (2011) 34: 131, DOI 10.1140/epje/i2011-11131-7
Controlling forces between oppositely charged polymers opens a new route towards creating vectors for gene therapyCharge inversion, condensation and decondensation of DNA and Polystyrene sulfonate by polyethylenimine. V. Mengarelli et al., Eur. Phys. J. E (2011) 34: 127, DOI 10.1140/epje/i2011-11127-3
Innovative high-precision measuring tool to assess the bending elasticity of liposomesAdvantages of statistical analysis of giant vesicle flickering for bending elasticity measurements. P. Méléard et al., Eur. Phys. J. E (2011) 34: 116, DOI 10.1140/epje/i2011-11116-6
In a report that has just been published in EPJE, researchers from the National University of the South in Bahía Blanca, Argentina studied the condition for model cavity and tunnel structures resembling the binding sites of proteins to stay dry without losing their ability to react, a prerequisite for proteins to establish stable interactions with other proteins in water. Behavior of water in contact with model hydrophobic cavities and tunnels and carbon nanotubes. E.P. Schulz et al., Eur. Phys. J. E (2011) 34: 114, DOI 10.1140/epje/i2011-11114-8
Scientists examine the flow of liquid at the contact between randomly rough surfacesLubricated sliding dynamics: flow factors and Stribeck curve. B.N.J. Persson and M. Scaraggi, Eur. Phys. J. E (2011) 34: 113, DOI 10.1140/epje/i2011-11113-9
A new theoretical model which helps to understand how to best avoid jamming of soft matterYield Stresses and Flow Curves in Metallic Glass Formers and Granular Systems. Th. Voigtmann, Eur. Phys. J. E (2011) 34: 106, DOI 10.1140/epje/i2011-11106-8
Spontaneous ordering of DNA fragments in a special matrix holds the key to creating non-toxic gene therapy delivery vectors, according to a study recently published in the European Physical Journal E.
Scientists from the CNRS Paul Pascal Research Centre, an institute of the University of Bordeaux, France, and colleagues from the Institute of Physics at the University of Sao Paolo, have created a complex system designed to hold DNA fragments in solution between the hydrophilic layers of a matrix of fatty substances (also known as lipids) combined with a surfactant (used to soften the layers’ rigidity). One possible application that has yet to be tested is gene therapy. Supramolecular polymorphism of DNA in non-cationic L_α lipid phases. E.R. Teixeira da Silva et al., Eur. Phys. J. E (2011) 34: 83
The law of hydrodynamics can contribute to our understanding of how a cluster of embryonic cells can transform into an animal within the first 36 hours of development, according to research recently published in European Physical Journal E.
Vincent Fleury, a researcher at the Paris Diderot University, studied the early stage of development when embryonic cells first form a flat sheet of cells before folding into a U-shape, resembling a folded pancake. He demonstrated that the formation of a chicken’s head is a consequence of the collision between both sides of the embryo flowing at constant speed towards each other. A change in boundary conditions induces a discontinuity of tissue flow in chicken embryos and the formation of the cephalic fold. V. Fleury, Eur. Phys. J. E (2011) 34: 73
Additional videos are available at: http://www.msc.univ-paris-diderot.fr/~vfleury/embryoportal0.html
In cells, motor proteins use chemical energy to generate motion and forces. Motors often interact and form clusters because they are connected to a single rigid backbone. In a muscle the backbone is made by association of the motor tails. The backbone motion results from the action of all the motors, and feeds back on each motor. Previous works suggest that motor assemblies are endowed with complex dynamical properties, including dynamic instabilities and spontaneous oscillations, which may play a role in the mechanisms of heartbeat, flagellar beating, or hearing. In this paper, we study two models of motor assemblies: the rigid two-state model and the classical crossbridge model widely used in muscle physiology.To read the full paper “Dynamical behavior of molecular motor assemblies in the rigid and crossbridge models” by Thomas Guérin, Jacques Prost, and Jean-François Joanny, Eur. Phys. J. E (2011) 34: 60, click here.
Loops are essential secondary structure elements in folded DNA and RNA molecules and proliferate close to the melting transition. Using a theory for nucleic acid secondary structures that accounts for the logarithmic entropy -c ln m for a loop of length m, we study homopolymeric single-stranded nucleic acid chains under external force and varying temperature. In the thermodynamic limit of a long strand, the chain displays a phase transition between a low temperature / low force compact (folded) structure and a high temperature / high force molten (unfolded) structure. The influence of c on phase diagrams, critical exponents, melting, and force extension curves is derived analytically. For vanishing pulling force, only for the limited range of loop exponents 2 < c < 2.479 a melting transition is possible. A force induced melting transition with singular behavior is possible for all loop exponents c < 2.479 and can be observed experimentally by single molecule force spectroscopy. These findings have implications for the hybridization or denaturation of double stranded nucleic acids. The Poland-Scheraga model for nucleic acid duplex melting does not allow base pairing between nucleotides on the same strand in denatured regions of the double strand. If the sequence allows these intra-strand base pairs, we show that for a realistic loop exponent c ~ 2.1 pronounced secondary structures appear inside the single strands. This leads to a lower melting temperature of the duplex than predicted by the Poland-Scheraga model.
Figure caption: Phase diagrams displaying a folded (native) and an unfolded (denatured) RNA phase in the w-c plane with and without applied force; w is the Boltzmann factor of base pairing and c is the loop exponent. The dotted line depicts the classical Poland-Scheraga result for the melting of a double-stranded nucleic acid chain.
To read the full paper “Secondary structure formation of homopolymeric single-stranded nucleic acids including force and loop entropy: Implications for DNA hybridization” by T.R. Einert, H. Orland, and R.R. Netz, Eur. Phys. J. E (2011) 34: 55, click here.
A nucleation site initiates the birth of a crystal. In most cases, take for example the dust particle in a snowflake, nucleation starts from a
heterogenous defect. Homogenous nucleation is more elusive because of the prevalence of defects in any bulk sample.
Crystallisation in tiny droplets alleviates this difficulty in a manner that is conceptually simple: subdivide the system into more domains than
the number of defects. If the domains greatly outnumber the defects then only the homogenous mechanism can induce nucleation in a defect free
compartment. Such an approach has been used here to investigate nucleation in polyethylene (PE) droplets. At high temperatures, a thin PE film dewets
from an unfavourable surface forming tiny droplets, much like water beading up on a waxy leaf (Fig. (b)). The resulting sample geometry is ideal:
thousands of droplets ranging in size can be monitored simultaneously with optical microscopy, with a nucleation event easily distinguishable by the
rapid growth of the crystal (Fig. (c)). Each droplet becomes an isolated independent nucleation experiment. By investigating thousands of droplets
supercooled well below the melting temperature, studies of homogenous nucleation become straightforward. Relating the probability of homogenous nucleation
to the size of the droplet, the authors show that nucleation is surface activated. Stated most simply, a droplet with twice the surface area is twice as l
ikely to nucleate, indicating that the perturbation induced by the interface reduces the intrinsic activation barrier to crystal nucleation.
Figure caption: Caption: a) A Si substrate with a polystyrene (PS) layer forms an unfavourable surface for a thin PE film. b) Upon heating, the unstable film dewets to form droplets. c) Optical microscopy image (500 μm wide). Amorphous droplets appear dark, while crystalline droplets become bright.
To read the full paper “Surface nucleation in the crystallisation of polyethylene droplets” by J.L. Carvalho and K. Dalnoki-Veress, Eur. Phys. J. E 34, 6 (2011), click here.
Polymersomes, fascinating vesicular structures self-assembled from amphiphilic block copolymers,
gave rise to an increased research activity over the past decade and impacted a large scientific
community. Chemists, physical chemists, biophysicists but also an increasing number of biologists,
radiologists or pharmacologists are currently working on polymersomes in various contexts such as drug
delivery, medical imaging, micro-reactors or to mimic biophysical phenomena of membranes such as adhesion,
fusion, fission, motility, photosynthesis ...In all these researches, the guiding thread is modulation of
membranes' properties both from physical, structural and functional points of view.
In this colloquium paper J-F. Le Meins, O. Sandre and S. Lecommandoux from the "Laboratoire de Chimie des Polymères Organiques" (CNRS, University of Bordeaux) present the molecular (coil-coil, rod-coil, dendrimeric block copolymer...) and formulation based methodologies (protein insertion, gelification of internal cavity...) aimed at tuning their mechanical and permeability properties. Very recent and promising blend approaches to create hybrid (inorganic/organic or organic/organic) membranes are also highlighted.
The formation of polymer brushes is of high interest for smart materials and coatings. By "grafting-through" a methacrylate-functionalized
conducting polymer film made of electropolymerized carbazole dendrons and subsequent polymerization with reversible addition-fragmentation
chain transfer (RAFT), new routes to novel coatings can be realized. The conducting polymer film was electrodeposited over a conducting
surface, i.e. gold or indium tin oxide (ITO)) using cyclic voltammetry (CV). This film was then used as the surface for a RAFT polymerization
process of methyl methacrylate (MMA), styrene (S), and tert-butyl acrylate (TBA), resulting in grafted polymer chains. These types of films
are useful for distinct polymer multilayers made of electro-optically active conducting polymers and insulating vinylic and functional
polymers that are chemically bound. Possible uses of such films are for display devices, sensors, anti-corrosion coatings, controlled
wetting surfaces, and anti-static materials.
December 2010
EPJ E - How the fruit fly got its spots
Biology provides the physicist with a stunning variety of patterns to explore, and several fundamental ideas in the physics of pattern formation, such
as Turing instabilities and the clock-and-wavefront mechanism, are rooted in studies of biological systems. It remains unclear, however, whether these
classic concepts can explain the emergence of patterns in most biological systems, or whether new and different mechanisms remain to be discovered.
In a recent paper in EPJE, Matthew Pennington and David Lubensky of the University of Michigan at Ann Arbor examined a spatially discrete, three variable
reaction-diffusion model inspired by the interactions that create a periodic pattern of gene expression in the Drosophila eye imaginal disc. This model
is capable of creating a regular pattern behind a moving front, as observed in eye discs, through a novel “switch and template” mechanism. In order to
better understand this mechanism, the authors performed a detailed study of the model’s behavior in one dimension, using a combination of analytic methods
and numerical searches of parameter space. Using this approach, the authors find that patterns are created robustly, provided that there is an appropriate
separation of time scales and that self-activation is sufficiently strong. Moreover, the paper presents explicit expressions in this limit for the front speed
and the pattern wavelength. Moving fronts in pattern-forming systems near an initial linear instability generically select a unique pattern, but the P&L model
operates in a strongly non-linear regime where the final pattern depends on the initial conditions as well as on parameter values. This study highlights the
important role that cellularisation and cell-autonomous feedback can play in biological pattern formation.
[M.W. Pennington and D.K. Lubensky. Switch and template pattern formation in a discrete reaction-diffusion system
inspired by the Drosophila eye. Eur. Phys. J. E, 33, 2010, 129-148].
September 2010
Drag forces in fluctuating classical field
Identical objects in thermally fluctuating fields experience a fluctuation induced force between them,
examples include the famous critical Casimir force (generated by thermal rather than quantum fluctuations)
[1] and forces induced between proteins in lipid membranes via their coupling to membrane height or
composition [2] degrees of freedom. Gaussian fields, linearly coupled to the position of a moving inclusion
the field can also induce a drag force [3]. The underlying physics is similar to that of a polaron - for a
stationary inclusion, the polarization of the field is spherically symmetric, however when it moves the
polarization field is deformed, see Figure 1, and this deformation yields a drag. The drag force depends on
the statics and dynamics of the field and the inclusion's interaction with the field. At low velocities v the drag
force is generically linear in v, but for systems with long range correlations, such as fields at critical points
(for instance the continuous demixing transition for lipid membranes), the drag force can behave nonanalytically
as vФ, where Ф<1. As the velocity is increased, the drag force increases to a maximum and then
decays to zero as 1/v. This is because at high velocity the polarization cloud does not have sufficient time to
develop and the drag is thus reduced. These effects could be measured experimentally, for example on
membrane proteins dragged in membranes or on colloids dragged through binary liquid mixtures, using
optical tweezers.
[1] M.E. Fisher and P.-G. de Gennes, C. R. Acad. Sci. Paris B 287, 207 (1978)
[2] M. Goulian, R. Bruinsma, and P. Pincus, Europhys. Lett. 22, 145 (1993).
[3] V. Démery and D.S. Dean, to appear Eur. Phys. J. E 32 (2010)
[Vincent Démery and David S. Dean, Eur. Phys. J. E (2010)]
June 2010
Optohydrodynamics of soft fluid interfaces
Are we able to control and actuate dynamically the shape of a fluid interface at a microscopic scale?
Among the various methods (dielectrophoresis, electrowetting, ...), the recent interest in optofluidics,
eg methods based on the combination of optics and fluidics, promoted innovative approaches using the
optical radiation pressure of laser beams to manipulate liquid interfaces.
Since flows are optically driven, we call this emerging field optohydrodynamics. Beyond exciting academic
insights, optohydrodynamics is involved in many interesting applications ranging from interface rheology
to adaptive optics or surface relief micropatterning. We present here an example of optohydrodynamic
actuation based on experimental and predictive numerical results (using the Boundary Element Method)
which show that the bending of a fluid-fluid interface strongly depends on the refractive index contrast
between the two fluids. The characteristic time required to reach equilibrium increases when decreasing
this contrast while equilibrium shapes of the deformation switch from a needle-like to a nearly-cylindrical
finger. The physical feature at the origin of these behaviors lies on the nonlinear dependence of the optical
radiation pressure on the local incidence angle. The viscosity ratio between the two fluids also affects
the dynamics of large scale deformations. This investigation illustrates one of the simplest manifestations
of optohydrodynamics and provides a frame to anticipate further developments of contactless interface
micromanipulation by lasers.
[H. Chraibi et al., Eur. Phys. J. E (2010)]
March 2010
Liquid crystals straighten up
Discotic columnar liquid crystals have a remarkable capability to transport charge in just one direction, along the columns formed by stacks of their flat, aromatic, disk like molecules. In the mesophases formed by these materials, these columns are arranged in a two-dimensional crystal lattice. These materials are potentially useful for organic solar cells, but to achieve good performance from such devices (which strongly depends on the quality of charge and exciton diffusion in the materials used) one needs to be able to prepare uniform thin films on conductive substrates with the axis of good transport along the columns vertical (this is called homeotropic orientation). The difficulties of achieving this are stressed in the paper by Grelet et al., which describes structural investigations by grazing incidence X-ray diffraction on thin films of columnar liquid crystals. This work shows that a strong planar orientation (with columns parallel to the surface) is found for a very wide variety of discotic compounds, film preparation processes, film thicknesses, and types of solid substrate. This degenerate planar alignment corresponds to the worst orientation for carrying charges or excitons in organic devices, and can by explained by anchoring energy considerations. Nevertheless, the authors have discovered a specific thermal process that provides a convenient way to achieve homeotropic anchoring of hexagonal columnar liquid crystal films, which is the suitable alignment for photovoltaic devices.
[E. Grelet et al., Eur. Phys. J. E (2010)]
November 2009
Adhesion and membrane tension of cells
To understand many biological processes, and the interaction between cells and materials, we need to understand the way cells stick to
each other and to substrates. A new technique to characterise this adhesion combines the best attributes of two previously developed
methodologies, the micropipette aspiration techniques and the use of atomic force microscopy. As in the micropipette technique, slight
suction is applied to a pipette that is ~ 10 μm in diameter in order to capture a single cell. A pipette is bent into a long thin
L-shaped cantilever so that, as in an AFM, the force felt by the cell as it interacts with the substrate can be measured by the micropipette
deflection (MD); this method has the advantage over the classical micropipette technique that the force is known through-out a binding-unbinding
experiment. We have tested the MD methodology with measurements on a model cell, a liposome, and living cells. Interestingly,
measurements reveal that the relaxation of a living cell as it is squeezed between the pipette and a substrate is logarithmic. Such relaxation has been seen in other strongly interacting complex systems such as granular materials, spin-glasses and proteins. The MD methodology can be applied to a wide variety of systems: cell-substrate or cell-cell, and any other systems that can be manipulated with the micropipette like colloidal beads, fibers, microtubules, and aggregates. Furthermore, by scanning a sample it is possible to carry out both friction measurements and force imaging.
[M.-J. Colbert et al., Eur. Phys. J. E 30, 117-121 (2009)]
March 2009
Thermomechanical Lehmann effect in cholesteric liquid crystals
In 1900, Otto Lehmann observed the continuous rotation of cholesteric
droplets when heated from below. This thermomechanical phenomenon was
explained 68 years later by Leslie from symmetry arguments. According to
the theory, the director experiences a torque proportional to the
temperature gradient. The proportionality constant is called the Lehmann
coefficient.
So far, this coefficient has only been measured close to the
compensation point of very special mixtures (see for instance N. Eber
and I. Janossy, Mol. Cryst. Liq. Cryst. Lett. 72, 233 (1982), and P.
Oswald and A. Dequidt Europhysics Lett. 83, 16005 (2008)). It was thus
important to extend such measurements to more usual cholesterics. In
this context, we used a standard nematic liquid crystal (eutectic
mixture of cyanobiphenyls 8CB and 8OCB) doped with a small amount of the
chiral molecule R811. We observed the Lehmann rotation of cholesteric
droplets subjected to a temperature gradient. This experiment - not
reproduced to our knowledge since Lehmann's original work - showed that
the angular velocity of the droplets strongly depends on their size and
on the concentration of chiral molecules. To estimate the Lehmann
coefficient, three different methods were used. The first one consisted
of measuring the droplet angular velocity as of function of the droplet
size. The second one consisted of applying an electric field to stop the
droplet rotation. The last one consisted of observing below which
critical size the drops stop rotating because of a textural change. The
three methods led to consistent values of the Lehmann coefficient at the
clearing temperature. In addition, it was found that the coefficient is
proportional to the concentration of chiral molecules.
[P. Oswald, Eur. Phys. J. E 28, 377-383 (2009)]
February 2009
Oscillatory dynamics induced in polyelectrolyte gels by a non-oscillatory reaction: A model.
Can a gel spontaneously oscillate in size? We have shown theoretically that a polyelectrolyte gel immersed in a reacting medium, kept far from equilibrium by a constant feed of fresh reactants, can change shape with a regular periodicity. What is needed is a hydrogel which can swell or shrink as a function of the chemical composition of their solvent, such as a polyelectrolyte in response to pH changes. Combining such a gel with an autocatalytic chemical reaction can lead, through the coupling and mutual feedback of concentration, diffusion and swelling/shrinking, to an oscillatory instability, even when the surrounding medium is at stationary state. Our model accounts for the main transport, reaction, and swelling processes involved. The prototypical Bromate-Sulfite reaction exhibits an autocatalysis with H^+ . Whereas this non oscillatory reaction could only lead to stationary concentration distributions in an inert gel, we predict that, in a narrow domain of size, it can induce periodic mechanical and chemical pulsation in a pH sensitive polyelectrolyte gel: although the composition of the bath is stationary, the gel size and the composition in the core oscillate.
These results, which are supported by preliminary experiments, pave the way for objects capable of autonomous motion driven by the chemical environment.
[J. Boissonade, Eur. Phys. J. E 28, 337-346 (2009)]
October 2008
Local friction at a sliding interface between an elastomer and a rigid spherical probe
Friction is one of the most longstanding problems in physics. One of the major origins of the complexity of this problem comes from the roughness of the contacting surfaces. When macroscopic bodies are pressed together, contact only occurs at localized spots between surface asperities. Friction thus involves the shearing of a myriad of micro-contacts which are distributed over length scales ranging from micrometers down to nanometers. Although widely debated, the manner in which these micro-contacts locally dissipate energy remains obscure. As a prerequisite, one should know how frictional stresses are distributed within the highly heterogeneous stress and strain field of macroscopic contact interfaces. Unfortunately, most experiments only rely on measurements of friction force and of its dependence on load and velocity which are averaged quantities of local frictional properties. We recently proposed a method to measure local friction of rubbers by means of a contact imaging approach. Silicon rubber substrates marked beneath their surface by a coloured pattern were prepared in order to measure the displacement field induced by the steady state friction of a glass sphere. As reported in this paper, the deconvolution of this displacement field provides a spatially resolved measurement of the actual shear stress distribution at the contact interface. First results show that the simple considerations based on actual contact area and constant shear stress hypothesis (often embedded in rough contact models) cannot account for the observed shear stress distribution. Much work remains to be done, but one of the promises of this method is the possibility of investigating local friction between patterned surfaces with well controlled topography at the micrometer level.
[A. Chateauminois and C. Fretigny, Eur. Phys. J. E 27, 221 (2008)]
June 2008
From bulk to encapsidated DNA: Energetics and density of DNA packed in bacteriophage capsids
The DNA that constitutes the genome of a bacteriophage is tightly packed in a protein shell called a capsid; this shell needs to withstand a large internal pressure from the closely packed DNA. Not much is known about the way the DNA is packed, so we have formulated a new theoretical approach to relate the density distribution of the DNA in the capsid to experimental data connecting osmotic pressure with the DNA density in the bulk. This has enabled us to determine the length of the packed DNA (packing fraction) as a function of the osmotic pressure - this is a quantity directly accessible in experiments. Somewhat surprisingly, we have found that the packing fraction can be reliably calculated even when neglecting the elastic energy of encapsidated DNA, which suggests that these experiments essentially probe the properties of the bulk DNA. Nevertheless, the elasticity of the DNA was found to influence the density distribution of the encapsidated DNA, inducing a very narrow cylindrical core that is depleted of DNA in an otherwise almost uniformly filled capsid. The radius of the depleted core (~1 nm) is small on the scale of the bacteriophage radius (~30 nm) and it diminishes with the increase of osmotic pressure. It has negligible influence on the packing fraction. We have performed packing fraction calculations for bathing solutions of different salts and concentrations. Our results, especially the predictions for MnCl2 bathing solutions, should be easily tested in experiments.
[A. Siber et al., Eur. Phys. J. E 26, 317 (2008)]
January 2008
Thermal diffusion and bending kinetics in nematic elastomer cantilever
To make an artificial muscle, we need a soft material that contracts in response to changes in its surroundings. Liquid crystal elastomers (LCE) are very special types of rubber, which combine the long range orientational order of liquid crystals and the polymer elasticity of the weakly crosslinked network to give a range of actuation properties. We have calculated the way a cantilever of this kind of material would bend if heated from one side; this is the kind of response that might be useful for applications in microfluidic valves and pumps, as well as other structures which can respond to their environment.
LCE are particularly attractive as actuators because of their reversible shape change. In simple terms, a uniaxially aligned monodomain nematic LCE contracts when heated and extends back when cooled, in principle, over an infinite number of cycles [Gelling et al. J. Chem. Phys., 88, 4008 (1988); Aufhold et al. Macromol. Chem., 192, 2555 (1991); Tajbakhsh et al., Eur. Phys. J. E, 6, 181 (2001)].
To get a bending motion in a LCE cantilever, we applied a temperature gradient to generate inhomogeneous strain distribution. We modelled the dynamics of a cantilever, which is radiatively heated from one side. The cycle of induced curvature agrees with our experimental data from a range of samples and materials.
[K.K. Hon, D. Corbett and E.M. Terentjev, Eur. Phys. J. E 25, 83 (2008)]
December 2007
The sad fate of a "fakir droplet"
Hydrophobic microstructured surfaces, like the famous sacred lotus leaves, can exhibit extreme water-repellency. On such superhydrophobic surfaces, a gently deposited water droplet sits on top the highest microstructures just like a fakir on a bed of nails. The droplet keeps an almost spherical shape and can roll with as little resistance as a ball on a billiards table, making liquid deposition almost impossible. Potential applications of artificial superhydrophobic surfaces range from self-cleaning coatings for clothes or glass to drop transport on labon-a-chip devices.
Unfortunately, when the microstructures pierce the drop and the liquid invades the roughness, water repellency is lost. Moreover, the impaled drop then becomes strongly pinned to the solid substrate. This impalement transition is shown to occur during the spontaneous evaporation of a water droplet, which is a major limiting factor for most of the potential applications of superhydrophobicity. The forces dictating the impalement transition were identified by monitoring the evolution of the full 3D shape of the interface below evaporating fakir droplets.
This was made using model micropatterned surfaces and interference microscopy. First, it revealed a new stable wetting state halfway between the usual Fakir and impaled states. Second, it led to propose a simple model to account for all the observed impalement scenarios based on the competition between the internal drop pressure (proportional to the inverse drop radius) which pushes the drop downward and the capillary forces applied by the microststructures, which hinder the liquid penetration. Moreover, on top of the quantitative description of the experimental findings this simple picture led an efficient design strategy for "ultrarobust" water repellent coatings which should repel arbitrarily small droplets!
[S. Moulinet and B. Bartolo, Eur. Phys. J. E 24, 251 (2007)]