Switching paths for Ising models with long-range interaction

Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 2008. Switching paths for Ising models with long-range interaction. Mörters, Peter, Moser, Roger, Penrose, Mathew, Schwetlick, Hartmut and Zimmer, Johannes, eds. Analysis and stochastics of growth processes and interface models, Oxford Scholarship Online, pp. 244-265. (10.1093/acprof:oso/9780199239252.003.0011)

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Abstract

The chapter discusses a multiscale model for a two-phases material. The model is a stochastic process on the finest scale. The effective behaviour on larger scales is governed by deterministic nonlinear evolution equations. Due to the stochasticity on the finest scale, deviations from these limit evolution laws can happen with small probability. The chapter describes the most likely among those deviations in two situations: (i) the switching from one stable equilibrium of the evolution equation to another one, (ii) enforced, fast motion on a manifold of stationary solutions.

Item Type:	Book Section
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Enforced motion; Two-phases material; Ising model; Switching; Long-range interaction
Publisher:	Oxford Scholarship Online
ISBN:	9780199239252
Related URLs:	Publisher
Last Modified:	18 Oct 2022 13:13
URI:	https://orca.cardiff.ac.uk/id/eprint/13065

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