Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations

Bhattacharjee, J. K. ; Kirkpatrick, T. R. ; Sengers, J. V. (2018) Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 97 (4). ISSN 2470-0045

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Official URL: http://doi.org/10.1103/PhysRevE.97.042109

Related URL: http://dx.doi.org/10.1103/PhysRevE.97.042109

Abstract

Work fluctuations and work probability distributions are fundamentally different in systems with short-ranged versus long-ranged correlations. Specifically, in systems with long-ranged correlations the work distribution is extraordinarily broad compared to systems with short-ranged correlations. This difference profoundly affects the possible applicability of fluctuation theorems like the Jarzynski fluctuation theorem. The Heisenberg ferromagnet, well below its Curie temperature, is a system with long-ranged correlations in very low magnetic fields due to the presence of Goldstone modes. As the magnetic field is increased the correlations gradually become short ranged. Hence, such a ferromagnet is an ideal system for elucidating the changes of the work probability distribution as one goes from a domain with long-ranged correlations to a domain with short-ranged correlations by tuning the magnetic field. A quantitative analysis of this crossover behavior of the work probability distribution and the associated fluctuations is presented.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:133817
Deposited On:30 Dec 2022 09:26
Last Modified:30 Dec 2022 09:26

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