Geodesic
Dynamical phase transition in the~simplest molecular chain model
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 123-133

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We consider the dynamics of the simplest chain of a large number $N$ of particles. In the double scaling limit, we find the partition of the parameter space into two domains: for one domain, the supremum over the time interval $(0,\infty)$ of the relative extension of the chain tends to $1$ as $N\to\infty$, and for the other domain, to infinity.
Keywords: statistical physics, double scaling limit, dynamical phase transition, Hooke's law, molecular chain. 
@article{TMF_2014_179_1_a7,
     author = {V. A. Malyshev and S. A. Muzychka},
     title = {Dynamical phase transition in the~simplest molecular chain model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {123--133},
     publisher = {mathdoc},
     volume = {179},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a7/}
}
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V. A. Malyshev; S. A. Muzychka. Dynamical phase transition in the~simplest molecular chain model. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 1, pp. 123-133. http://geodesic.mathdoc.fr/item/TMF_2014_179_1_a7/