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Finite-dimensional colored fluctuation-dissipation theorem for spin systems

Authors :
Stam Nicolis
Pascal Thibaudeau
Julien Tranchida
Source :
AIP Advances, Vol 7, Iss 5, Pp 056012-056012-4 (2017)
Publication Year :
2017
Publisher :
AIP Publishing LLC, 2017.

Abstract

When nano-magnets are coupled to random external sources, their magnetization becomes a random variable, whose properties are defined by an induced probability density, that can be reconstructed from its moments, using the Langevin equation, for mapping the noise to the dynamical degrees of freedom. When the spin dynamics is discretized in time, a general fluctuation-dissipation theorem, valid for non-Markovian noise, can be established, even when zero modes are present. We discuss the subtleties that arise, when Gilbert damping is present and the mapping between noise and spin degrees of freedom is non–linear.

Subjects

Subjects :
Physics
QC1-999

Details

Language :
English
ISSN :
21583226
Volume :
7
Issue :
5
Database :
Directory of Open Access Journals
Journal :
AIP Advances
Publication Type :
Academic Journal
Accession number :
edsdoj.6c39f184130546369951ce648640f640
Document Type :
article
Full Text :
https://doi.org/10.1063/1.4975132