Elasticity transition and loop formation in vibrated bead chains: A simulation of polymer chains Y. C. Chou, E. Cho, T. -h. Chou and T. M. Hong Eur. Phys. J. E, 29 2 (2009) 157-161 Published online: 11 June 2009 DOI: 10.1140/epje/i2009-10463-1