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2014 It is shown that the kinetics of collapse of a polymer coil consisting of N segments after an abrupt decrease of temperature is a two-stage process if N ~ Ne. The first stage takes a time ~ N2â€¦ (More)

- Mikhail V. Tamm, Andrei Shkarin, V. Avetisov, Olga Valba, Sergei K Nechaev
- Physical review letters
- 2014

We consider random nondirected networks subject to dynamics conserving vertex degrees and study, analytically and numerically, equilibrium three-vertex motif distributions in the presence of anâ€¦ (More)

- V. Avetisov, Minas Hovhannisyan, A. Gorsky, Sergei K Nechaev, Mikhail V. Tamm, Olga Valba
- Physical review. E
- 2016

We consider the canonical ensemble of N-vertex ErdÅ‘s-RÃ©nyi (ER) random topological graphs with quenched vertex degree, and with fugacity Î¼ for each closed triple of bonds. We claim completeâ€¦ (More)

- Maxim Imakaev, Konstantin M Tchourine, Sergei K Nechaev, Leonid A. Mirny
- Soft matter
- 2015

Topological constraints can affect both equilibrium and dynamic properties of polymer systems and can play a role in the organization of chromosomes. Despite many theoretical studies, the effects ofâ€¦ (More)

- V. Avetisov, A. Gorsky, Sergei K Nechaev, Olga Valba
- Physical review. E
- 2016

We consider an equilibrium ensemble of large ErdÅ‘s-Renyi topological random networks with fixed vertex degree and two types of vertices, black and white, prepared randomly with the bond connectionâ€¦ (More)

- V. Avetisov, Viktor A Ivanov, Dmitry Meshkov, Sergei K Nechaev
- Biophysical journal
- 2014

The over-damped relaxation of elastic networks constructed by contact maps of hierarchically folded fractal (crumpled) polymer globules was investigated in detail. It was found that the relaxationâ€¦ (More)

The distribution of motifs in random hierarchical networks defined by nonsymmetric random blockâ€“hierarchical adjacency matrices, is constructed for the first time. According to the classification ofâ€¦ (More)

- Mikhail V. Tamm, Sergei K Nechaev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

We consider a pair of random heteropolymer chains with quenched primary sequences. For this system we have analyzed the dependence of average ground state energy per monomer E on chain length n inâ€¦ (More)

S.K. Nechaev, A.N. Sobolevski, O.V. Valba LPTMS, UniversitÃ© Paris Sud, 91405 Orsay Cedex, France P.N. Lebedev Physical Institute of the Russian Academy of Sciences, 119991, Moscow, Russia Instituteâ€¦ (More)

- Sergei K Nechaev, Andrei N. Sobolevski, Olga Valba
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2013

We propose a toy model of a heteropolymer chain capable of forming planar secondary structures typical for RNA molecules. In this model, the sequential intervals between neighboring monomers along aâ€¦ (More)