Dynamical phase transition in the simplest molecular chain model

preprint2013arXivOpen access

Abstract

We consider the dynamics of the simplest chain of large number NN of particles. We find, in the double scaling limit, the partition of the parameter space onto two domains, where for one domain the supremum (over all time interval (0,∞)(0,\infty) of relative extension tenda to 11 as N→∞N\to\infty. and for the other this supremum tends to infinity as N→∞N\to\infty.

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