Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-07-29
Phys.Rev.E77:021802,2008
Physics
Condensed Matter
Statistical Mechanics
23 pages, 4 figures, LaTeX + RevTeX 4
Scientific paper
10.1103/PhysRevE.77.021802
In this work the dynamics of a freely jointed random chain with small masses attached to the joints is studied from a microscopic point of view. The chain is treated using a stringy approach, in which a statistical sum is performed over all two dimensional trajectories spanned by the chain during its fluctuations. In the limit in which the chain becomes a continuous curve, the probability function for such a system coincides with the partition function of a generalized nonlinear sigma model. The cases of open or closed chains in two and three dimensions are discussed. In three dimensions it is possible also to introduce some rigidity at the joints, allowing the segments of the chain to take only particular angles with respect to a given direction.
Ferrari Franco
Paturej Jaroslaw
Vilgis Thomas A.
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