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most citedp-Adic Models of Ultrametric Diffusion Constrained by Hierarchical Energy Landscapes

219 citations

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cond-mat.stat-mech2020★ 4 cited

Fixman problem revisited: When fluctuations of inflated ideal polymer loop are non-Gaussian?

Sergei Nechaev, Alexander Valov

We consider statistics of a planar ideal polymer loop of length in a large deviation regime, when a gyration radius, , is slightly less than the radius of a fully inflated…

cond-mat.stat-mech2020★ 9 cited

Field-driven tracer diffusion through curved bottlenecks: Fine structure of first passage events

A. Valov, V. Avetisov, S. Nechaev +1

Using scaling arguments and extensive numerical simulations, we study dynamics of a tracer particle in a corrugated channel represented by a periodic sequence of broad chambers and…

cond-mat.stat-mech2020★ 9 cited

Ultrametric theory of conformational dynamics of protein molecules in a functional state and the description of experiments on the kinetics of CO binding to myoglobin

A. Kh. Bikulov, A. P. Zubarev

The paper is devoted to a systematic account of the theory of conformational dynamics of protein molecules. As an example of application of this theory, we provide a complete analy…

cond-mat.stat-mech2018★ 22 cited

Anomalous 1D fluctuations of a simple 2D random walk in a large deviation regime

Sergei Nechaev, Kirill Polovnikov, Senya Shlosman +2

The following question is the subject of our work: could a two-dimensional random path pushed by some constraints to an improbable "large deviation regime", possess extreme statist…

cond-mat.stat-mech2017★ 6 cited

Finite plateau in spectral gap of polychromatic constrained random networks

V. Avetisov, A. Gorsky, S. Nechaev +1

We consider the canonical ensemble of multilayered constrained Erdos-Renyi networks (CERN) and regular random graphs (RRG), where each layer represents graph vertices painted in a…

cond-mat.stat-mech2016★ 3 cited

Peculiar spectral statistics of ensembles of trees and star-like graphs

V. Kovaleva, Yu. Maximov, S. Nechaev +1

In this paper we investigate the eigenvalue statistics of exponentially weighted ensembles of full binary trees and -branching star graphs. We show that spectral densities of co…

cond-mat.stat-mech2016★ 10 cited

Paths counting on simple graphs: from escape to localization

S. K. Nechaev, M. V. Tamm, O. V. Valba

We study the asymptotic behavior of the number of paths of length on several classes of infinite graphs with a single special vertex. This vertex can work as an entropic trap f…

cond-mat.stat-mech2016★ 5 cited

Heat conduction in a chain of colliding particles with stiff repulsive potential

O. V. Gendelman, A. V. Savin

One-dimensional billiard, i.e. a chain of colliding particles with equal masses, is well-known example of completely integrable system. Billiards with different particles are gener…

cond-mat.stat-mech2016★ 58 cited

Eigenvalue tunnelling and decay of quenched random networks

V. Avetisov, M. Hovhannisyan, A. Gorsky +3

We consider the canonical ensemble of -vertex Erdős-Rényi (ER) random topological graphs with quenched vertex degree, and with fugacity for each closed triple of bonds. We c…

cond-mat.stat-mech2015★ 12 cited

Normal heat conductivity in two-dimensional scalar lattices

A. V. Savin, V. Zolotarevskiy, O. V. Gendelman

The paper revisits recent counterintuitive results on divergence of heat conduction coefficient in two-dimensional lattices. It was reported that in certain lattices with on-site p…

cond-mat.stat-mech2015★ 8 cited

Spontaneous Symmetry Breaking and Phase Coexistence in Two-Color Networks

V. Avetisov, A. Gorsky, S. Nechaev +1

We have considered an equilibrium ensemble of large Erdős-Renyi topological random networks with fixed vertex degree and two types of vertices, black and white, prepared randomly w…

cond-mat.stat-mech2014★ 6 cited

Heat conduction in a chain of dissociating particles: effect of dimensionality

V. Zolotarevskiy, A. V. Savin, O. V. Gendelman

The paper considers heat conduction in a model chain of composite particles with hard core and elastic external shell. Such model mimics three main features of realistic interatomi…

cond-mat.stat-mech2014

Topological transition in disordered planar matching: combinatorial arcs expansion

Andrey Y. Lokhov, Olga V. Valba, Sergei K. Nechaev +1

In this paper, we investigate analytically the properties of the disordered Bernoulli model of planar matching. This model is characterized by a topological phase transition, yield…

cond-mat.stat-mech2013★ 28 cited

Normal heat conductivity in chains capable of dissociation

O. V. Gendelman, A. V. Savin

The paper suggests a resolution for recent controversy over convergence of heat conductivity in one-dimensional chains with asymmetric nearest-neighbor potential. We conjecture tha…

cond-mat.stat-mech2013

Thermal conductivity of the chain with an asymmetric pair interaction

A. V. Savin, Yuriy A. Kosevich

We provide molecular dynamics simulation of heat transport in one-dimensional molecular chains with different interparticle pair potentials. We show that the thermal conductivity i…

cond-mat.stat-mech2013★ 12 cited

Islands of stability in motif distributions of random networks

M. V. Tamm, A. B. Shkarin, V. A. Avetisov +2

We consider random non-directed networks subject to dynamics conserving vertex degrees and study analytically and numerically equilibrium three-vertex motif distributions in the pr…

cond-mat.stat-mech2013★ 15 cited

Fractal globule as an artificial molecular machine

V. A. Avetisov, V. A. Ivanov, D. A. Meshkov +1

The relaxation of an elastic network, constructed by a contact map of a fractal (crumpled) polymer globule is investigated. We found that: i) the slowest mode of the network is sep…

cond-mat.stat-mech2011★ 20 cited

Nonstationary heat conduction in one-dimensional models with substrate potential

O. V. Gendelman, R. Shvartsman, B. Madar +1

The paper investigates non-stationary heat conduction in one-dimensional models with substrate potential. In order to establish universal characteristic properties of the process,…

cond-mat.stat-mech2009★ 34 cited

Non-stationary heat conduction in one-dimensional chains with conserved momentum

Oleg V. Gendelman, Alexander V. Savin

The Letter addresses the relationship between hyperbolic equations of heat conduction and microscopic models of dielectrics. Effects of the non-stationary heat conduction are inves…

cond-mat.stat-mech2007★ 6 cited

Non-Markovian Stochastic Liouville equation and its Markovian representation. Extensions of the continuous time random walk approach

A. I. Shushin

Some specific features and extensions of the continuous time random walk (CTRW) approach are analyzed in detail within the Markovian representation (MR) and CTRW-based non-Markovia…

cond-mat.stat-mech2006★ 17 cited

Thermal conductivity of a classical one dimensional spin-phonon system

A. V. Savin, G. P. Tsironis, X. Zotos

We investigate the thermal conductivity of the classical Heisenberg spin chain coupled to a variety of phonon systems using a Green-Kubo approach as well as coupling to heat reserv…

cond-mat.stat-mech2004★ 4 cited

Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics

A. I. Shushin

The kinetics of phase and population relaxation in quantum systems induced by noise with anomalously slowly decaying correlation function P (t) ~ (wt)^{- alpha}, where 0 < alpha <…