Nonlinear response for nonautonomous systems
- 1 July 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 56 (1) , 1207-1217
- https://doi.org/10.1103/physreve.56.1207
Abstract
We present a detailed derivation of the transient time correlation function (TTCF) form of nonlinear response theory which is generalized to handle time-dependent external fields. Our derivation stresses the analogy with the TTCF formalism for constant fields. We also discuss some limiting cases. We use computer simulation to test the generalized TTCF theory. Our simulation results show that the generalized TTCF method has an efficiency superior to direct calculation not only for weak fields but also for strong time-dependent external fields.This publication has 14 references indexed in Scilit:
- Nonlinear Response for Time-dependent External FieldsPhysical Review Letters, 1997
- Steady states, invariant measures, and response theoryPhysical Review E, 1995
- Isothermal response theoryMolecular Physics, 1985
- Nonequilibrium molecular dynamics via Gauss's principle of least constraintPhysical Review A, 1983
- Kinetic theory of non-equilibrium fluidsPhysica A: Statistical Mechanics and its Applications, 1983
- Nonlinear transport in the Boltzmann limitJournal of Statistical Physics, 1979
- Transport processes in solids and linear-response theoryPhysical Review A, 1974
- Nonlinear Effects in the Shear Viscosity of Critical MixturesProgress of Theoretical Physics, 1967
- Time-Correlation Functions and Transport Coefficients in Statistical MechanicsAnnual Review of Physical Chemistry, 1965
- Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in FluidsThe Journal of Chemical Physics, 1954