eprintid: 1163
rev_number: 13
eprint_status: archive
userid: 6
dir: disk0/00/00/11/63
datestamp: 2012-02-24 09:50:48
lastmod: 2014-12-05 09:37:29
status_changed: 2012-02-24 09:50:48
type: article
metadata_visibility: show
creators_name: Ciliberti, Stefano
creators_name: Caldarelli, Guido
creators_name: De Los Rios, Paolo
creators_name: Pietronero, Luciano
creators_name: Zhang, Yi-Cheng
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: Discretized diffusion processes
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: public
keywords: PACS: 05.40.-a, 64.60.Ak, 64.60.Fr, 87.10.+e

note: © 2000 American Physical Society
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.
date: 2000-10
date_type: published
publication: Physical Review Letters
volume: 85
number: 23
publisher: American Physical Society
pagerange: 4848-4851
id_number: 10.1103/PhysRevLett.85.4848
refereed: TRUE
issn: 0031-9007
official_url: http://dx.doi.org/10.1103/PhysRevLett.85.4848
related_url_url: http://arxiv.org/abs/cond-mat/0010253
citation:   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)  
document_url: http://eprints.imtlucca.it/1163/1/PRL_Caldarelli_2000.pdf