Work fluctuation and total entropy production in nonequilibrium processes.

  title={Work fluctuation and total entropy production in nonequilibrium processes.},
  author={Ken Funo and Tomohiro Shitara and Masahito Ueda},
  journal={Physical review. E},
  volume={94 6-1},
Work fluctuation and total entropy production play crucial roles in small thermodynamic systems subject to large thermal fluctuations. We investigate a trade-off relation between them in a nonequilibrium situation in which a system starts from an arbitrary nonequilibrium state. We apply a variational method to study this problem and find a stationary solution against variations over protocols that describe the time dependence of the Hamiltonian of the system. Using the stationary solution, we… 

Figures from this paper

Finite-time generalization of the thermodynamic uncertainty relation.

It is shown that this relation holds not only for the long-time limit of fluctuations, as described by large deviation theory, but also for fluctuations on arbitrary finite time scales, which facilitates applying the thermodynamic uncertainty relation to single molecule experiments, for which infinite time scales are not accessible.

Thermodynamic bounds on current fluctuations

For fluctuating thermodynamic currents in non-equilibrium steady states, the thermodynamic uncertainty relation expresses a fundamental trade-off between precision, i.e. small fluctuations, and

Dependence of dissipation on the initial distribution over states

We analyze how the amount of work dissipated by a fixed nonequilibrium process depends on the initial distribution over states. Specifically, we compare the amount of dissipation when the process is

Rate of entropy model for irreversible processes in living systems

The model applies to the most interesting and relevant case of metabolic network, the glucose catabolism in normal and cancer cells, and shows the rate of internal entropy is mainly due to irreversible chemical reactions, and the rates of external entropy is mostly correlated to the heat flow towards the intercellular environment.

Generalized second law for a simple chaotic system.

The generalized second law (nonequilibrium maximum work formulation) is derived for a simple chaotic system that considers a probability density, prepared in the far past, which weakly converges to an invariant density due to the mixing property, and is extended for a power invariants such as the Tsallis distribution.

Quantum thermodynamics and quantum coherence engines

Advantages of quantum effects in several technologies, such as computation and communication, have already been well appreciated, and some devices, such as quantum computers and communication links,



Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences.

  • G. Crooks
  • Economics, Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1999
A generalized version of the fluctuation theorem is derived for stochastic, microscopically reversible dynamics and this generalized theorem provides a succinct proof of the nonequilibrium work relation.

Work Fluctuation-Dissipation Trade-Off in Heat Engines.

It is found that the most general trade-off relation between work fluctuation and dissipation applicable to arbitrary nonequilibrium processes is bounded from below by the information distance characterizing how far the system is from thermal equilibrium.

Entropy production along nonequilibrium quantum jump trajectories

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium

Stochastic thermodynamics, fluctuation theorems and molecular machines

  • U. Seifert
  • Physics
    Reports on progress in physics. Physical Society
  • 2012
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.

Optimal protocols and optimal transport in stochastic thermodynamics.

It is shown that optimization problems in small system thermodynamics are solved by (deterministic) optimal transport, for which very efficient numerical methods have been developed, and of which there are applications in cosmology, fluid mechanics, logistics, and many other fields.

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the

Experimental observation of the role of mutual information in the nonequilibrium dynamics of a Maxwell demon.

These measurements provide the first evidence of the role of mutual information in the fluctuation theorem and thermodynamics of irreversible processes.

Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach

It has recently been shown that the Helmholtz free energy difference between two equilibrium configurations of a system may be obtained from an ensemble of finite-time (nonequilibrium) measurements