295 research outputs found
Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
We develop a consistent stochastic thermodynamics for environments composed
of thermodynamic reservoirs in an external conservative force field, that is
environments described by the Generalized or Gibbs canonical ensemble. We
demonstrate that small systems weakly coupled to such reservoirs exchange both
heat and work by verifying a local detailed balance relation for the induced
stochastic dynamics. Based on this analysis, we help to rationalize the
observation that nonthermal reservoirs can increase the efficiency of
thermodynamic heat engines.Comment: 6 pages, 1 figure, plus 3 page
Fundamental Bounds on First Passage Time Fluctuations for Currents
Current is a characteristic feature of nonequilibrium systems. In stochastic
systems, these currents exhibit fluctuations constrained by the rate of
dissipation in accordance with the recently discovered thermodynamic
uncertainty relation. Here, we derive a conjugate uncertainty relationship for
the first passage time to accumulate a fixed net current. More generally, we
use the tools of large-deviation theory to simply connect current fluctuations
and first passage time fluctuations in the limit of long times and large
currents. With this connection, previously discovered symmetries and bounds on
the large-deviation function for currents are readily transferred to first
passage times.Comment: 7 pages including S
Information-theoretic bound on the entropy production to maintain a classical nonequilibrium distribution using ancillary control
There are many functional contexts where it is desirable to maintain a
mesoscopic system in a nonequilibrium state. However, such control requires an
inherent energy dissipation. In this article, we unify and extend a number of
works on the minimum energetic cost to maintain a mesoscopic system in a
prescribed nonequilibrium distribution using ancillary control. For a variety
of control mechanisms, we find that the minimum amount of energy dissipation
necessary can be cast as an information-theoretic measure of distinguishability
between the target nonequilibrium state and the underlying equilibrium
distribution. This work offers quantitative insight into the intuitive idea
that more energy is needed to maintain a system farther from equilibrium.Comment: 6 pages, 2 figure
Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
The thermodynamic uncertainty relation offers a universal energetic
constraint on the relative magnitude of current fluctuations in nonequilibrium
steady states. However, it has only been derived for long observation times.
Here, we prove a recently conjectured finite-time thermodynamic uncertainty
relation for steady-state current fluctuations. Our proof is based on a
quadratic bound to the large deviation rate function for currents in the limit
of a large ensemble of many copies.Comment: 3 page
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