Finite kicked environments and the fluctuation-dissipation relation.
In this work we derive a generalized map for a system coupled to a kicked environment composed of a finite number N of uncoupled harmonic oscillators. Dissipation is introduced via the interaction between system and environment which is switched on and off simultaneously (kicks) at regular time intervals. It is shown that kicked environments naturally generate a non-Markovian rotated dynamics, describe more complicated system-environment couplings which involve position and momentum, and satisfy an unusual fluctuation-dissipation relation. As an example, the motion of a kicked Brownian particle is discussed.
Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, Brazil and Institut für Theoretische Physik, Technische Universität Dresden, D-01069 Dresden, Germany.
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SA
Abdulack
Institut für Theoretische Physik, Technische Universität Dresden, D-01069 Dresden, Germany.
W T
WT
Strunz
Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, Brazil and Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.
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MW
Beims