Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions

Alexei G. Makeev; Dimitrios Maroudas; Athanassios Z. Panagiotopoulos; Yannis Kevrekidis

doi:10.1063/1.1512274

Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions

Alexei G. Makeev, Dimitrios Maroudas, Athanassios Z. Panagiotopoulos, Yannis Kevrekidis

Research output: Contribution to journal › Article › peer-review

92 Scopus citations

Abstract

A coarse timestepper based computational methodology that enables the continuation, stability and bifurcation analysis of equations for the (expected values of) moments of distributions evolved through microscopic simulators is presented. The advantage of the method lies in that these equations need not be available in closed form.

Original language	English (US)
Pages (from-to)	8229-8240
Number of pages	12
Journal	Journal of Chemical Physics
Volume	117
Issue number	18
DOIs	https://doi.org/10.1063/1.1512274
State	Published - Nov 8 2002

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1063/1.1512274

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title = "Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions",

abstract = "A coarse timestepper based computational methodology that enables the continuation, stability and bifurcation analysis of equations for the (expected values of) moments of distributions evolved through microscopic simulators is presented. The advantage of the method lies in that these equations need not be available in closed form.",

author = "Makeev, {Alexei G.} and Dimitrios Maroudas and Panagiotopoulos, {Athanassios Z.} and Yannis Kevrekidis",

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AU - Makeev, Alexei G.

AU - Maroudas, Dimitrios

AU - Panagiotopoulos, Athanassios Z.

AU - Kevrekidis, Yannis

PY - 2002/11/8

Y1 - 2002/11/8

N2 - A coarse timestepper based computational methodology that enables the continuation, stability and bifurcation analysis of equations for the (expected values of) moments of distributions evolved through microscopic simulators is presented. The advantage of the method lies in that these equations need not be available in closed form.

AB - A coarse timestepper based computational methodology that enables the continuation, stability and bifurcation analysis of equations for the (expected values of) moments of distributions evolved through microscopic simulators is presented. The advantage of the method lies in that these equations need not be available in closed form.

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JO - Journal of Chemical Physics

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Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions

Abstract

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