Volume 108, Number 6, December 2014
|Number of page(s)||3|
|Published online||09 January 2015|
Time reversal symmetry in time-dependent correlation functions for systems in a constant magnetic field
1 CECAM Centre Européen de Calcule Atomique et Moléculaire, École Polytechnique Fédérale de Lausanne Batochime, Avenue Forel 2, 1015, Lausanne, Switzerland
2 Dipartimento di Fisica, Università di Roma “La Sapienza” - Ple. A. Moro 2, 00185, Roma, Italy
3 School of Physics, University College of Dublin UCD - Belfield, Dublin 4, Ireland
4 Dipartimento di Scienze Matematiche and Graphene@Polito Lab Politecnico di Torino - Corso Duca degli Abruzzi 24, 10125, Torino, Italy
5 INFN, Sezione di Torino - Via P. Giuria 1, 10125, Torino, Italy
Received: 31 October 2014
Accepted: 8 December 2014
A generalised time reversal symmetry for systems subject to a constant magnetic field is introduced, based on the analogy between the evolution equations of these systems and those of a system subject to shear. This generalisation makes it possible to derive symmetry relations for time correlation functions that do not require to change the sign of the magnetic field upon time reversal. This is to be contrasted with the standard Kubo result in which the sign of the magnetic field does change, thus establishing a symmetry relation between two distinct physical situations. Our result implies, for example, that Onsager-Casimir relations may be replaced by Onsager reciprocal relations even in the presence of a constant magnetic field. It is also of practical importance to interpret experiments and numerical simulations in which the systems considered are in a single magnetic field.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2014
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