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

94 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

General Physics and Astronomy
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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T1 - Coarse bifurcation analysis of kinetic Monte Carlo simulations

T2 - A lattice-gas model with lateral interactions

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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UR - https://www.scopus.com/pages/publications/0037044961#tab=citedBy

U2 - 10.1063/1.1512274

DO - 10.1063/1.1512274

M3 - Article

AN - SCOPUS:0037044961

SN - 0021-9606

VL - 117

SP - 8229

EP - 8240

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 18

ER -

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

Abstract

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