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Brownian motion of classical spins : Anomalous dissipation and generalized Langevin equation

2015/12/11 by Malay Bandyopadhyay, Bandyopadhyay, Malay, A. M. Jayannavar +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1512.03511

openalex publication_date 2015/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we analyze the relaxation of a classical spin interacting with a heat bath, starting from the fully dynamical Hamiltonian description. An analogous problem in the framework of generalized Langevin equation (GLE) with anomalous dissipation is analyzed in details. The Fokker-Planck equation corresponding to GLE is derived and the concept of equilibrium probability distribution is analyzed. In this process we have identified few difficulties to obtain equilibrium distribution for the non-Markovian case and the remedy to overcome this difficulty is also discussed.

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