RANDOM WALKS ON d-DIMENSIONAL COMB LATTICES-Reference-Cited by-同舟云学术

RANDOM WALKS ON d-DIMENSIONAL COMB LATTICES

Published:1992-09-20 Issue:22 Volume:06 Page:1397-1403
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

CASSI D.¹,REGINA S.¹

Affiliation:

1. Dipartimento di Fisica, Università di Parma, INFM-CISM, Unità di Parma, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma, Viale delle Scienze, 43100 Parma, Italy

Abstract

Discrete time random walks on d-dimensional comb lattices are studied by analytical techniques for every integer d ≥ 1, both in unbiased and biased regime. We obtain a closed expression for the spectral dimension [Formula: see text] as a function of the embedding space dimension d, showing that it is always less than 2. We then calculate the exact asymptotic behavior of various quantities related to diffusion and show that they can all be expressed in terms of [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984992001101

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