Random walks interacting with evolving energy landscapes

E. Agliari (), R. Burioni, D. Cassi and A. Vezzani

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 48, issue 4, 529-536

Abstract: We introduce a diffusion model for energetically inhomogeneous systems. A random walker moves on a spin-S Ising configuration, which generates the energy landscape on the lattice through the nearest-neighbors interaction. The underlying energetic environment is also made dynamic by properly coupling the walker with the spin lattice. In fact, while the walker hops across nearest-neighbor sites, it can flip the pertaining spins, realizing a diffusive dynamics for the Ising system. As a result, the walk is biased towards high energy regions, namely the boundaries between clusters. Besides, the coupling introduced involves, with respect the ordinary diffusion laws, interesting corrections depending on either the temperature and the spin magnitude. In particular, they provide a further signature of the phase-transition occurring on the magnetic lattice. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
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DOI: 10.1140/epjb/e2006-00015-3

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