Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2011-07-17
Phys. Rev. E 84, 022801 (2011)
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 1 figure, accepted for publication in PRE
Scientific paper
10.1103/PhysRevE.84.022801
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 note, 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.
Benetatos Panayotis
Terentjev Eugene M.
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