TY - JOUR
T1 - Constrained random-force model for weakly bending semiflexible polymers
AU - Benetatos, Panayotis
AU - Terentjev, Eugene M.
PY - 2011/8/4
Y1 - 2011/8/4
N2 - The random-force (Larkin) model of a directed elastic string subject to quenched random forces in the transverse directions has been a paradigm in the statistical physics of disordered systems. In this Brief Report, we investigate a modified version of the above model where the total transverse force along the polymer contour and the related total torque, in each realization of disorder, vanish. We discuss the merits of adding these constraints and show that they leave the qualitative behavior in the strong stretching regime unchanged, but they reduce the effects of the random force by significant numerical prefactors. We also show that a transverse random force effectively makes the filament softer to compression by inducing undulations. We calculate the related linear compression coefficient in both the usual and the constrained random-force model.
AB - The random-force (Larkin) model of a directed elastic string subject to quenched random forces in the transverse directions has been a paradigm in the statistical physics of disordered systems. In this Brief Report, we investigate a modified version of the above model where the total transverse force along the polymer contour and the related total torque, in each realization of disorder, vanish. We discuss the merits of adding these constraints and show that they leave the qualitative behavior in the strong stretching regime unchanged, but they reduce the effects of the random force by significant numerical prefactors. We also show that a transverse random force effectively makes the filament softer to compression by inducing undulations. We calculate the related linear compression coefficient in both the usual and the constrained random-force model.
UR - http://www.scopus.com/inward/record.url?scp=80051628936&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.84.022801
DO - 10.1103/PhysRevE.84.022801
M3 - Article
AN - SCOPUS:80051628936
SN - 2470-0045
VL - 84
JO - Physical Review E
JF - Physical Review E
IS - 2
M1 - 022801
ER -