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Some applications of persistent random walks and the telegrapher's equation

George H Weiss

Physica A: Statistical Mechanics and its Applications, 2002, vol. 311, issue 3, 381-410

Abstract: A persistent random walk can be regarded as a multidimensional Markov process. The bias-free telegraphers equation is∂2p∂t2+1T∂p∂t=v2∇2p.It can be regarded as interpolating between the wave equation (T→∞) and the diffusion equation (T→0). Previously, it has found application in thermodynamics (cf. the review in Rev. Mod. Phys. 61 (1989) 41; 62 (1990) 375). More recent applications are reviewed in the present article.

Keywords: Diffusive transport; Ballistic transport; Optical imaging (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:311:y:2002:i:3:p:381-410

DOI: 10.1016/S0378-4371(02)00805-1

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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