Interacting random walkers and non-equilibrium fluctuations View Full Text


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Article Info

DATE

2008-09

AUTHORS

E. Agliari, M. Casartelli, A. Vezzani

ABSTRACT

We introduce a model of interacting Random Walk, whose hopping amplitude depends on the number of walkers/particles on the link. The mesoscopic counterpart of such a microscopic dynamics is a diffusing system whose diffusivity depends on the particle density. A non-equilibrium stationary flux can be induced by suitable boundary conditions, and we show indeed that it is mesoscopically described by a Fourier equation with a density dependent diffusivity. A simple mean-field description predicts a critical diffusivity if the hopping amplitude vanishes for a certain walker density. Actually, we evidence that, even if the density equals this pseudo-critical value, the system does not present any criticality but only a dynamical slowing down. This property is confirmed by the fact that, in spite of interaction, the particle distribution at equilibrium is simply described in terms of a product of Poissonians. For mesoscopic systems with a stationary flux, a very effect of interaction among particles consists in the amplification of fluctuations, which is especially relevant close to the pseudo-critical density. This agrees with analogous results obtained for Ising models, clarifying that larger fluctuations are induced by the dynamical slowing down and not by a genuine criticality. The consistency of this amplification effect with altered coloured noise in time series is also proved. More... »

PAGES

257-264

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjb/e2008-00330-7

DOI

http://dx.doi.org/10.1140/epjb/e2008-00330-7

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https://app.dimensions.ai/details/publication/pub.1023024939


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124 Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Str. 3, 79104, Freiburg, Germany
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126 https://www.grid.ac/institutes/grid.470222.1 schema:alternateName INFN Sezione di Torino
127 schema:name CNR-INFM (Parma), Viale G.P. Usberti n.7/A (Parco Area delle Scienze), 43100, Parma, Italy
128 Dipartimento di Fisica, Università di Parma, Viale G.P. Usberti n.7/A (Parco Area delle Scienze), 43100, Parma, Italy
129 INFN, gruppo collegato di Parma, Viale G.P. Usberti n.7/A (Parco Area delle Scienze), 43100, Parma, Italy
130 rdf:type schema:Organization
 




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