Discretized diffusion processes

被引：8

作者：

Ciliberti, S

Caldarelli, G

De los Rios, P

Pietronero, L

Zhang, YC

机构：

[1] Univ Rome La Sapienza, Dipartimento Fis, INFM Sez ROMA1, I-00185 Rome, Italy

[2] Univ Fribourg, Inst Phys Theor, CH-1700 Fribourg, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 85卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.85.4848

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：4848 / 4851

页数：4

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