2,411 research outputs found
Entropy production and coarse-graining in Markov processes
We study the large time fluctuations of entropy production in Markov
processes. In particular, we consider the effect of a coarse-graining procedure
which decimates {\em fast states} with respect to a given time threshold. Our
results provide strong evidence that entropy production is not directly
affected by this decimation, provided that it does not entirely remove loops
carrying a net probability current. After the study of some examples of random
walks on simple graphs, we apply our analysis to a network model for the
kinesin cycle, which is an important biomolecular motor. A tentative general
theory of these facts, based on Schnakenberg's network theory, is proposed.Comment: 18 pages, 13 figures, submitted for publicatio
Entropy production and coarse-graining in Markov processes
We study the large time fluctuations of entropy production in Markov
processes. In particular, we consider the effect of a coarse-graining procedure
which decimates {\em fast states} with respect to a given time threshold. Our
results provide strong evidence that entropy production is not directly
affected by this decimation, provided that it does not entirely remove loops
carrying a net probability current. After the study of some examples of random
walks on simple graphs, we apply our analysis to a network model for the
kinesin cycle, which is an important biomolecular motor. A tentative general
theory of these facts, based on Schnakenberg's network theory, is proposed.Comment: 18 pages, 13 figures, submitted for publicatio
Comment on "Entropy Production and Fluctuation Theorems for Active Matter"
This is a comment to a letter by D. Mandal, K. Klymko and M. R. DeWeese
published as Phys. Rev. Lett. 119, 258001 (2017).Comment: 2 pages without figures, in press as a Comment on Physical Review
Letter
Entropy production for velocity-dependent macroscopic forces: the problem of dissipation without fluctuations
In macroscopic systems, velocity-dependent phenomenological forces are
used to model friction, feedback devices or self-propulsion. Such forces
usually include a dissipative component which conceals the fast energy
exchanges with a thermostat at the environment temperature , ruled by a
microscopic Hamiltonian . The mapping - even if effective
for many purposes - may lead to applications of stochastic thermodynamics where
an fluctuating entropy production (FEP) is derived. An
enlightening example is offered by recent macroscopic experiments where
dissipation is dominated by solid-on-solid friction, typically modelled through
a deterministic Coulomb force . Through an adaptation of the microscopic
Prandtl-Tomlinson model for friction, we show how the FEP is dominated by the
heat released to the -thermostat, ignored by the macroscopic Coulomb model.
This problem, which haunts several studies in the literature, cannot be cured
by weighing the time-reversed trajectories with a different auxiliary dynamics:
it is only solved by a more accurate stochastic modelling of the thermostat
underlying dissipation.Comment: 6 pages, 3 figure
Irreversible effects of memory
The steady state of a Langevin equation with short ranged memory and coloured
noise is analyzed. When the fluctuation-dissipation theorem of second kind is
not satisfied, the dynamics is irreversible, i.e. detailed balance is violated.
We show that the entropy production rate for this system should include the
power injected by ``memory forces''. With this additional contribution, the
Fluctuation Relation is fairly verified in simulations. Both dynamics with
inertia and overdamped dynamics yield the same expression for this additional
power. The role of ``memory forces'' within the fluctuation-dissipation
relation of first kind is also discussed.Comment: 6 pages, 1 figure, publishe
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