Europhys. Lett.
Volume 65, Number 1, January 2004
Page(s) 103 - 108
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 01 December 2003
Europhys. Lett., 65 (1) , pp. 103-108 (2004)
DOI: 10.1209/epl/i2003-10058-6

Local fluctuation dissipation relation

G. Parisi

Dipartimento di Fisica, INFM, SMC and INFN, Università di Roma "La Sapienza" P.le A. Moro 2, 00185 Roma, Italy

(Received 21 May 2003; accepted in final form 24 October 2003)

In this letter I show that the recently proposed local version of the fluctuation dissipation relations follows from the general principle of stochastic stability in a way that is very similar to the usual proof of the fluctuation dissipation theorem for intensive quantities. Similar arguments can be used to prove that in an aging experiment, where the averages are done over many runs, all sites stay at the same effective temperature at the same time.

75.10.Nr - Spin-glass and other random models.
02.60.Pn - Numerical optimization.

© EDP Sciences 2004