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@article{Gomes:2019:10.1103/physreve.99.032109,
author = {Gomes, SN and Kalliadasis, S and Pavliotis, GA and Yatsyshin, P},
doi = {10.1103/physreve.99.032109},
journal = {Physical Review E},
title = {Dynamics of the Desai-Zwanzig model in multiwell and random energy landscapes},
url = {http://dx.doi.org/10.1103/physreve.99.032109},
volume = {99},
year = {2019}
}

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TY  - JOUR
AB  - We analyze a variant of the Desai-Zwanzig model [J. Stat. Phys. 19, 1 (1978)]. In particular, we study stationary states of the mean field limit for a system of weakly interacting diffusions moving in a multiwell potential energy landscape, coupled via a Curie-Weiss type (quadratic) interaction potential. The location and depth of the local minima of the potential are either deterministic or random. We characterize the structure and nature of bifurcations and phase transitions for this system, by means of extensive numerical simulations and of analytical calculations for an explicitly solvable model. Our numerical experiments are based on Monte Carlo simulations, the numerical solution of the time-dependent nonlinear Fokker-Planck (McKean-Vlasov) equation, the minimization of the free-energy functional, and a continuation algorithm for the stationary solutions.
AU  - Gomes,SN
AU  - Kalliadasis,S
AU  - Pavliotis,GA
AU  - Yatsyshin,P
DO  - 10.1103/physreve.99.032109
PY  - 2019///
SN  - 2470-0045
TI  - Dynamics of the Desai-Zwanzig model in multiwell and random energy landscapes
T2  - Physical Review E
UR  - http://dx.doi.org/10.1103/physreve.99.032109
UR  - http://hdl.handle.net/10044/1/69617
VL  - 99
ER  -

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Professor Grigorios A. Pavliotis

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