Entropy production of a bound nonequilibrium interface

@article{Barato2012EntropyPO,
  title={Entropy production of a bound nonequilibrium interface},
  author={Andre Cardoso Barato and Haye Hinrichsen},
  journal={Journal of Physics A},
  year={2012},
  volume={45},
  pages={115005}
}
We study the entropy production of a microscopic model for nonequilibrium wetting. We show that, in contrast to the equilibrium case, a bound interface in a nonequilibrium steady state produces entropy. Interestingly, in some regions of the phase diagram a bound interface produces more entropy than a free interface. Moreover, by solving exactly a four-site system, we find that the first derivative of the entropy production with respect to the control parameter displays a discontinuity at the… 
View PDF on arXiv
7 Citations

Figures from this paper

7 Citations

Citation Type

Citation Type

Entropy production as a tool for characterizing nonequilibrium phase transitions.
TLDR
This work paves the way to a systematic description and classification of nonequilibrium phase transitions through a key indicator of system irreversibility.
Exponential volume dependence of entropy-current fluctuations at first-order phase transitions in chemical reaction networks.
TLDR
It is shown that the fluctuations of the entropy production have an exponential volume-dependence when the system is bistable and the exponential prefactor is the height of the effective potential barrier between the two fixed-points.
MEAN-FIELD CRITICAL BEHAVIOR AND ERGODICITY BREAK IN A NONEQUILIBRIUM ONE-DIMENSIONAL RSOS GROWTH MODEL
We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as…
Stochastic thermodynamics, fluctuation theorems and molecular machines.
  • U. Seifert
  • Physics
    Reports on progress in physics. Physical Society
  • 2012
TLDR
Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
Precision and dissipation of a stochastic Turing pattern.
TLDR
It is argued that larger fluctuations can also have a positive effect on the precision of the pattern, and increasing the thermodynamic cost beyond this value makes the pattern less precise.
Phase transition in thermodynamically consistent biochemical oscillators.
TLDR
This work shows that biochemical oscillations emerge through a generic nonequilibrium phase transition, with a characteristic qualitative behavior at criticality, and argues that the number of coherent oscillations is more appropriate to quantify the precision of biochemical oscillation.
Derivation of Markov processes that violate detailed balance.
TLDR
It is shown that for a Markov model without detailed balance, an extended Markov models can be constructed, which explicitly includes the degrees of freedom for the driving agent and satisfies the detailed balance condition.

References

SHOWING 1-10 OF 35 REFERENCES
Entropy production in nonequilibrium systems at stationary states.
TLDR
A stochastic approach to nonequilibrium thermodynamics based on the expression of the entropy production rate advanced by Schnakenberg for systems described by a master equation is presented, finding a singularity at the critical point of the linear-logarithm type.
Entropy production in the nonequilibrium steady states of interacting many-body systems.
TLDR
It is shown that the large deviation function displays a kink-like feature at zero entropy production that is similar to that observed for a single particle driven along a periodic potential.
Entropy production and fluctuation relations for a KPZ interface
We study entropy production and fluctuation relations in the restricted solid-on-solid growth model, which is a microscopic realization of the Kardar–Parisi–Zhang (KPZ) equation. Solving the…
Finite size effects in nonequilibrium wetting
Models with a nonequilibrium wetting transition display a transition also in finite systems. This is different from nonequilibrium phase transitions into an absorbing state, where the stationary…
Entropy production of cyclic population dynamics.
TLDR
The entropy production is calculated for a population model that displays nonequilibrium behavior resulting from cyclic competition and shows that the entropy production peaks very close to the critical point and tends to zero upon deviating from it.
Nonequilibrium wetting
When a nonequilibrium growing interface in the presence of a wall is considered a nonequilibrium wetting transition may take place. This transition can be studied trough Langevin equations or…
Non-equilibrium Dynamics, Thermalization and Entropy Production
This paper addresses fundamental aspects of statistical mechanics such as the motivation of a classical state space with spontaneous transitions, the meaning of non-equilibrium in the context of…
Entropy production along a stochastic trajectory and an integral fluctuation theorem.
TLDR
The integrated sum of both Delatas(tot) is shown to obey a fluctuation theorem (exp([-Deltas( tot) = 1 for arbitrary initial conditions and arbitrary time-dependent driving over a finite time interval)).
Wetting under nonequilibrium conditions.
TLDR
A mean-field approximation is shown to reproduce the main features of the phase diagram of a recently introduced model for nonequilibrium wetting in (1+1) dimensions, while providing indications for the behavior of the wetting transition in higher dimensions.
Fluctuation theorem for nonequilibrium reactions.
  • P. Gaspard
  • Physics
    The Journal of chemical physics
  • 2004
TLDR
The fluctuation theorem is derived for stochastic nonequilibrium reactions ruled by the chemical master equation and verified in the Schlögl model of far-from-equilibrium bistability.
...
...