Discretized Diffusion Processes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 04 Dec 2000Embargo end date: 01 Jan 2000 Italy English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 85, pages 4,848-4,851 (issn: 0031-9007, eissn: 1079-7114,

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Authors: Ciliberti S.; Caldarelli G.; De Los Rios P.; Pietronero L.; Zhang Y. -C.;

doi: 10.1103/physrevlett.85.4848 , 10.48550/arxiv.cond-mat/0010253

pmid: 11102133

arXiv: cond-mat/0010253

handle: 10278/3728694

Discretized Diffusion Processes

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Abstract

We study the properties of the ``Rigid Laplacian'' operator, that is we consider solutions of the Laplacian equation in the presence of fixed truncation errors. The dynamics of convergence to the correct analytical solution displays the presence of a metastable set of numerical solutions, whose presence can be related to granularity. We provide some scaling analysis in order to determine the value of the exponents characterizing the process. We believe that this prototype model is also suitable to provide an explanation of the widespread presence of power-law in social and economic system where information and decision diffuse, with errors and delay from agent to agent.

4 pages 5 figure, to be published in PRL

Country

Italy

Related Organizations

University of Fribourg
Switzerland
IMT Institute for Advanced Studies Lucca
Italy
Roma Tre University
Italy
Sapienza University of Rome
Italy
Ca Foscari University of Venice
Italy

Keywords

QC Physics, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Condensed Matter - Statistical Mechanics

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