Dynamical phase transition in the simplest molecular chain model

Abstract

We consider the dynamics of the simplest chain of large number $N$ 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 $(0,\infty )$ of relative extension tenda to $1$ as $N\to \infty$. and for the other this supremum tends to infinity as $N\to \infty$.

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