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Artículo

Dynamical symmetries of Markov processes with multiplicative white noise

Aron, Camille; Barci, Daniel G.; Cugliandolo, Leticia F.; Arenas, Zochil González; Lozano, Gustavo SergioIcon
Fecha de publicación: 19/05/2016
Editorial: IOP Publishing
Revista: Journal of Statistical Mechanics: Theory and Experiment
ISSN: 1742-5468
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Física de los Materiales Condensados

Resumen

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.
Palabras clave: Brownian Motion , Driven Diffusive Systems (Theory) , Fluctuations (Theory) , Stochastic Processes (Theory)
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/17499
DOI: http://dx.doi.org/10.1088/1742-5468/2016/05/053207
URL: https://arxiv.org/abs/1412.7564
Colecciones
Articulos(IFIBA)
Articulos de INST.DE FISICA DE BUENOS AIRES
Citación
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
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