Competition between homogeneous and local processes in a diffusive many-body system

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dc.creatorMobilia, Mauro
dc.date2003-07-09
dc.date2005-04-05
dc.date.accessioned2026-07-07T02:52:16Z
dc.date.available2026-07-07T02:52:16Z
dc.descriptionWe consider a stochastic many-body system where a source refills uniformly the empty sites of a hypercubic lattice, on which each particle is allowed to jump (symmetrically) onto neighboring vacant sites. In addition, there is a local {\it trap}, in competition with the injection reaction, which perturbs the dynamics by removing particles from the system. In dimensions $d=1, 2$ and 3, for an ``imperfect'' and a ``perfect'' trap, the spatiotemporal effect of the local perturbation of the dynamics is investigated by computing the exact concentration of particles in the system and it is shown that the density profile exhibits a depletion (in one and two dimensions) which properties depend on the space dimension. The exact reactive (fluctuating) steady state and the long-time behavior of the concentration of particles are explicitly computed.
dc.description20 pages, 1 figure, 1 table, IOP format. Two appendices added. Published in Journal of Statistical Mechanics: Theory and Experiment
dc.identifierhttps://arxiv.org/abs/cond-mat/0307222
dc.identifierhttp://arxiv.org/abs/cond-mat/0307222
dc.identifierJ. Stat. Mech. (2005) P04003
dc.identifierdoi:10.1088/1742-5468/2005/04/P04003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21780
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.titleCompetition between homogeneous and local processes in a diffusive many-body system
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