Discretized diffusion processes

Ciliberti, Stefano and Caldarelli, Guido and De Los Rios, Paolo and Pietronero, Luciano and Zhang, Yi-Cheng Discretized diffusion processes. Physical Review Letters, 85 (23). pp. 4848-4851. ISSN 0031-9007 (2000)

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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 a social and economic system where information and decision diffuse, with errors and delay from agent to agent.

Item Type:	Article
Identification Number:	https://doi.org/10.1103/PhysRevLett.85.4848
Additional Information:	© 2000 American Physical Society
Uncontrolled Keywords:	PACS: 05.40.-a, 64.60.Ak, 64.60.Fr, 87.10.+e
Subjects:	Q Science > QC Physics
Research Area:	Economics and Institutional Change
Depositing User:	Ms T. Iannizzi
Date Deposited:	24 Feb 2012 09:50
Last Modified:	05 Dec 2014 09:37
URI:	http://eprints.imtlucca.it/id/eprint/1163

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