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Heat exchanges in a quenched ferromagnet

Abstract

The off-equilibrium probability distribution of the heat exchanged by a ferromagnet in a time interval after a quench below the critical point is calculated analytically in the large-N limit. The distribution is characterized by a singular threshold Q{sub C} < 0, below which a macroscopic fraction of heat is released by the k = 0 Fourier component of the order parameter. The mathematical structure producing this phenomenon is the same responsible for the order parameter condensation in the equilibrium low temperature phase. The heat exchanged by the individual Fourier modes follows a non-trivial pattern, with the unstable modes at small wave vectors warming up the modes around a characteristic finite wave vector k{sub M}. Two internal temperatures, associated with the k = 0 and k = k{sub M} modes, rule the heat currents through a fluctuation relation similar to the one for stationary systems in contact with two thermal reservoirs. (fast track communication)
Authors:
Corberi, Federico; Zannetti, Marco; [1]  Gonnella, Giuseppe; Piscitelli, Antonio [2] 
  1. Dipartimento di Fisica 'E.R. Caianiello', and CNISM, Unita di Salerno, Universita di Salerno, via Ponte don Melillo, I-84084 Fisciano, SA (Italy)
  2. Dipartimento di Fisica, Universita di Bari and INFN, Sezione di Bari, via Amendola 173, I-70126 Bari (Italy)
Publication Date:
Feb 01, 2013
Product Type:
Journal Article
Resource Relation:
Journal Name: Journal of Physics. A, Mathematical and Theoretical (Online); Journal Volume: 46; Journal Issue: 4; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; C QUARKS; DISTRIBUTION; EQUILIBRIUM; FERROMAGNETISM; FLUCTUATIONS; HEAT; HEAT TRANSFER; ORDER PARAMETERS; PROBABILITY
OSTI ID:
22087290
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 1751-8121; TRN: GB13O0472046014
Availability:
Available from http://dx.doi.org/10.1088/1751-8113/46/4/042001
Submitting Site:
INIS
Size:
[8 page(s)]
Announcement Date:
Apr 25, 2013

Citation Formats

Corberi, Federico, Zannetti, Marco, Gonnella, Giuseppe, and Piscitelli, Antonio. Heat exchanges in a quenched ferromagnet. United Kingdom: N. p., 2013. Web. doi:10.1088/1751-8113/46/4/042001.
Corberi, Federico, Zannetti, Marco, Gonnella, Giuseppe, & Piscitelli, Antonio. Heat exchanges in a quenched ferromagnet. United Kingdom. doi:10.1088/1751-8113/46/4/042001.
Corberi, Federico, Zannetti, Marco, Gonnella, Giuseppe, and Piscitelli, Antonio. 2013. "Heat exchanges in a quenched ferromagnet." United Kingdom. doi:10.1088/1751-8113/46/4/042001. https://www.osti.gov/servlets/purl/10.1088/1751-8113/46/4/042001.
@misc{etde_22087290,
title = {Heat exchanges in a quenched ferromagnet}
author = {Corberi, Federico, Zannetti, Marco, Gonnella, Giuseppe, and Piscitelli, Antonio}
abstractNote = {The off-equilibrium probability distribution of the heat exchanged by a ferromagnet in a time interval after a quench below the critical point is calculated analytically in the large-N limit. The distribution is characterized by a singular threshold Q{sub C} < 0, below which a macroscopic fraction of heat is released by the k = 0 Fourier component of the order parameter. The mathematical structure producing this phenomenon is the same responsible for the order parameter condensation in the equilibrium low temperature phase. The heat exchanged by the individual Fourier modes follows a non-trivial pattern, with the unstable modes at small wave vectors warming up the modes around a characteristic finite wave vector k{sub M}. Two internal temperatures, associated with the k = 0 and k = k{sub M} modes, rule the heat currents through a fluctuation relation similar to the one for stationary systems in contact with two thermal reservoirs. (fast track communication)}
doi = {10.1088/1751-8113/46/4/042001}
journal = {Journal of Physics. A, Mathematical and Theoretical (Online)}
issue = {4}
volume = {46}
journal type = {AC}
place = {United Kingdom}
year = {2013}
month = {Feb}
}