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dc.contributor.author
Aron, Camille
dc.contributor.author
Barci, Daniel G.
dc.contributor.author
Cugliandolo, Leticia F.
dc.contributor.author
Arenas, Zochil González
dc.contributor.author
Lozano, Gustavo Sergio
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dc.date.available
2017-06-05T18:37:25Z
dc.date.issued
2016-05-19
dc.identifier.citation
Aron, Camille; Barci, Daniel G.; Cugliandolo, Leticia F.; Arenas, Zochil González; Lozano, Gustavo Sergio; Dynamical symmetries of Markov processes with multiplicative white noise; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2016; 5; 19-5-2016
dc.identifier.issn
1742-5468
dc.identifier.uri
http://hdl.handle.net/11336/17499
dc.description.abstract
We analyse various properties of stochastic Markov processes with multiplicative white noise. We take a single-variable problem as a simple example, and we later extend the analysis to the Landau-Lifshitz-Gilbert equation for the stochastic dynamics of a magnetic moment. In particular, we focus on the non-equilibrium transfer of angular momentum to the magnetization from a spin-polarised current of electrons, a technique which is widely used in the context of spintronics to manipulate magnetic moments. We unveil two hidden dynamical symmetries of the generating functionals of these Markovian multiplicative white-noise processes. One symmetry only holds in equilibrium and we use it to prove generic relations such as the fluctuation-dissipation theorems. Out of equilibrium, we take profit of the symmetry-breaking terms to prove fluctuation theorems. The other symmetry yields strong dynamical relations between correlation and response functions which can notably simplify the numerical analysis of these problems. Our construction allows us to clarify some misconceptions on multiplicative white-noise stochastic processes that can be found in the literature. In particular, we show that a first-order differential equation with multiplicative white noise can be transformed into an additive-noise equation, but that the latter keeps a non-trivial memory of the discretisation prescription used to define the former.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Brownian Motion
dc.subject
Driven Diffusive Systems (Theory)
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Fluctuations (Theory)
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Stochastic Processes (Theory)
dc.subject.classification
Física de los Materiales Condensados
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Dynamical symmetries of Markov processes with multiplicative white noise
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-05T14:49:32Z
dc.journal.volume
2016
dc.journal.number
5
dc.journal.pais
Reino Unido
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dc.description.fil
Fil: Aron, Camille. Katholikie Universiteit Leuven; Bélgica. University Of Princeton; Estados Unidos
dc.description.fil
Fil: Barci, Daniel G.. Universidade Do Estado de Rio Do Janeiro; Brasil
dc.description.fil
Fil: Cugliandolo, Leticia F.. Universite Paris Sorbonne; Francia
dc.description.fil
Fil: Arenas, Zochil González. Universidade Do Estado de Rio Do Janeiro; Brasil
dc.description.fil
Fil: Lozano, Gustavo Sergio. Universite Paris Sorbonne; Francia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
dc.journal.title
Journal of Statistical Mechanics: Theory and Experiment
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1742-5468/2016/05/053207
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1412.7564
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