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Title: On and beyond entropy production: the case of Markov jump processes
Authors: Maes, Christian ×
Netocny, Karel
Wynants, Bram #
Issue Date: 2008
Series Title: Markov Processes and Related Fields vol:14 issue:3 pages:445-464
Abstract: How is it that entropy derivatives almost in their own are characterizing
the state of a system close to equilibrium, and what happens further
away from it? We explain within the framework of Markov jump processes why

uctuation theory can be based on considerations involving entropy production
alone when perturbing around the detailed balance condition. Variational principles
such as that of minimum entropy production are understood in that way.
Yet, further away from equilibrium, dynamical
uctuations reveal a structure
where the time-symmetric sector crucially enters. The
uctuations of densities
and currents get coupled and a time-symmetric notion of dynamical activity
becomes the counterpart and equal player to the entropy production. The results
are summarized in an extended Onsager { Machlup Lagrangian, which in
its quadratic approximation is expected to be quite general in governing the
small
uctuations of nonequilibrium systems whose macroscopic behavior can
be written in terms of a Master equation autonomously describing the timedependence
of densities and currents.
ISSN: 1024-2953
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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