NDLI: Effective mean field approach to kinetic Monte Carlo simulations in limit cycle dynamics with reactive and diffusive rewiring

Content Provider	Springer Nature Link
Author	Panagakou, E. Boulougouris, G. C. Provata, A.
Copyright Year	2013
Abstract	The dynamics of stochastic nonlinear kinetic schemes is known to deviate from the mean field (MF) theory when restricted on low dimensional spatial supports. This failure has been attributed to (i) the influence of the support’s spatial extension which modifies the system’s dynamics and (ii) the influence of the noise. In the current study, we introduce effective parameters, which depend on the type of the support and which allow for an effective MF description. As working example the lattice limit cycle dynamics is used, restricted on a 2D square lattice with nearest neighbour interactions. We show that it is possible to describe the spatiotemporal average concentrations of the restricted dynamics using the MF model when the kinetic rates are replaced with their effective values. The same conclusion holds when reactive stochastic rewiring is introduced in the system via long distance coupling. Instead, when the stochastic coupling becomes diffusive the effective parameters no longer predict the steady state. This is attributed to the diffusion process which is an additional factor introduced into the dynamics and is not accounted for, in the kinetic MF scheme.
Starting Page	1
Ending Page	8
Page Count	8
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	86
Issue Number	6
e-ISSN	14346036
Language	English
Publisher	Springer-Verlag
Publisher Date	2013-06-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Statistical and Nonlinear Physics Condensed Matter Physics Physics Statistical Physics, Dynamical Systems and Complexity Fluid- and Aerodynamics Solid State Physics
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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