Denis Evans
NONLINEAR RESPONSE THEORY AND THE FLUCTUATION THEOREM
Denis
J. Evans
Research
School of Chemistry
Australian
National University
Canberra,
ACT 0200 Australia
Fax:
+61-2-61259611
email:
evans@rsc.anu.edu.au
Debra
J. Searles
School
of Science
Griffith
University
Brisbane,
Qld 4111 Australia
Fax:
+61-7-38753921
email:
D.Bernhardt@mailbox.gu.edu.au
Lamberto
Rondoni
Dipartimento
di Mathematica and INFM, Politecnico di Turino,
Torino
Italy
email:
rondoni@polito.it
Recently there has been considerable theoretical and experimental interest in the so-called Fluctuation Theorem. This Theorem shows how time reversible microscopic dynamics leads to irreversible macroscopic behavior as either the system size or the observation time increases.
In the present paper we show that the argument of the Evans-Searles Fluctuation Theorem, the dissipation function, also plays a central role in nonlinear response theory. Exact expressions for the nonlinear response of a classical N-body system to a nonequilibrium process, are derived in terms of the Evans-Searles dissipation function.
These expressions should be verifiable in the laboratory. When linearized these expressions reduce to the well known Green-Kubo expressions for the linear response.