vix.ing · top · new · best · stats · spec

Perturbative continued-fraction method for weakly interacting Brownian spins and dipoles

2006/02/03 by J. L. García‐Palacios, J. L. Garcia-Palacios, Garcia-Palacios, J. L.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0602072

1 page, 1 figure. Abstract of a talk delivered at the Spanish conference on statistical mechanics Fises 2002 at Tarragona

arxiv created 2006/02/03 · openalex publication_date 2006/02/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The continued-fraction method was developed systematically by Risken and co-workers to solve problems of arbitrary fluctuations in nonlinear systems. However, this efficient technique is limited to problems with a few variables, which in practice means systems of noninteracting entities (particles, spins, etc.) We illustrate how to extend the continued-fraction method to weakly coupled systems with the problem of relaxation in classical spins.

Related