Stochastic Efficiency: Five Case Studies

@article{Proesmans2015StochasticEF,
  title={Stochastic Efficiency: Five Case Studies},
  author={Karel Proesmans and Chris van den Broeck},
  journal={arXiv: Statistical Mechanics},
  year={2015}
}
Stochastic efficiency is evaluated in five case studies: driven Brownian motion, effusion with a thermo-chemical and thermo-velocity gradient, a quantum dot and a model for information to work conversion. The salient features of stochastic efficiency, including the maximum of the large deviation function at the reversible efficiency, are reproduced. The approach to and extrapolation into the asymptotic time regime are documented. 
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References

SHOWING 1-10 OF 57 REFERENCES
Universal theory of efficiency fluctuations.
Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady
Stochastic efficiency for effusion as a thermal engine
The stochastic efficiency of effusion as a thermal engine is investigated within the framework of stochastic thermodynamics. Explicit results are obtained for the probability distribution of the
Langevin Equation and Thermodynamics
We introduce a framework of energetics into the stochastic dynamics described by Langevin equation in which fluctuation force obeys the Einstein relation. The energy con­ servation holds in the
Fluctuation symmetry in a two-state Markov model
We show that the scaled cumulant generating and large deviation function, associated to a two-state Markov process involving two processes, obey a symmetry relation reminiscent of the fluctuation
Single-particle stochastic heat engine.
TLDR
An extensive analysis of a single-particle stochastic heat engine constructed by manipulating a Brownian particle in a time-dependent harmonic potential and verified fluctuation relations for heat engines in time periodic steady state.
Efficiency and large deviations in time-asymmetric stochastic heat engines
In a stochastic heat engine driven by a cyclic non-equilibrium protocol, fluctuations in work and heat give rise to a fluctuating efficiency. Using computer simulations and tools from large deviation
Fluctuation theorem for stochastic dynamics
The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are bypassed, and the theorem takes a
Modulated two-level system: exact work statistics.
TLDR
An analytical expression is derived for the generating function and large deviation function of the work performed by the field and it is shown that a work fluctuation theorem holds.
Fluctuation theorems for stochastic dynamics
Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but
Microscopic analysis of a thermal brownian motor.
We study a genuine Brownian motor by hard disk molecular dynamics and calculate analytically its properties, including its drift speed and thermal conductivity, from microscopic theory.
...
1
2
3
4
5
...