Microcanonical work and fluctuation relations for an open system: An exactly solvable model.

@article{Suba2013MicrocanonicalWA,
  title={Microcanonical work and fluctuation relations for an open system: An exactly solvable model.},
  author={Yiğit Subaşı and Christopher Jarzynski},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 4},
  pages={
          042136
        }
}
  • Y. SubaşıC. Jarzynski
  • Published 24 October 2013
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We calculate the probability distribution of work for an exactly solvable model of a system interacting with its environment. The system of interest is a harmonic oscillator with a time-dependent control parameter, the environment is modeled by N-independent harmonic oscillators with arbitrary frequencies, and the system-environment coupling is bilinear and not necessarily weak. The initial conditions of the combined system and environment are sampled from a microcanonical distribution and the… 
7 Citations

Figures from this paper

Statistical work-energy theorems in deterministic dynamics

We theoretically explore the Bochkov-Kuzovlev-Jarzynski-Crooks work theorems in a finite system subject to external control, which is coupled to a heat reservoir. We first elaborate the mechanical

Quantum jump model for a system with a finite-size environment.

A quantum jump model suitable for systems coupled to a finite-size environment is developed and used to study the common fluctuation relations and prove that they are satisfied.

Statistics of work performed by optical tweezers with general time-variation of their stiffness

We derive an exact expression for the probability density of work done on a particle that diffuses in a parabolic potential with a stiffness varying by an arbitrary piecewise constant protocol. Based

Work statistics and thermal phase transitions.

Many previous studies have demonstrated that work statistics can exhibit certain singular behaviors in the quantum critical regimes of many-body systems at zero or very low temperatures. However, as

Einstein Relation for Electrons in an Electric Field

We study the diffusion of electrons moving through a monatomic gas. The two-term Legendre approximation for solving the Boltzmann equation is used to obtain an analytical expression for the isotropic

Fluctuations in heat engines

At the dawn of thermodynamics, Carnot’s constraint on efficiency of heat engines stimulated the formulation of one of the most universal physical principles, the second law of thermodynamics. In

Non-adiabatic current densities, transitions, and power absorbed by a molecule in a time-dependent electromagnetic field.

This work shows that the expectation value of the power absorbed by the molecule is equal to the time rate of change of the non-adiabatic term in the energy.

References

SHOWING 1-10 OF 42 REFERENCES

Exactly solvable model illustrating far-from-equilibrium predictions

We describe an exactly solvable model which illustrates the Fluctuation Theorem and other predictions for systems evolving far from equilibrium. Our model describes a particle dragged by a spring

Journal of Chemical Physics

  • Physics
    Nature
  • 1933
The first number of the new American Journal of Chemical Physics, which is published by the American Institute of Physics and has an editorial board comprising the leading American chemists and

Physics Today.

Using a combination of x-ray diffraction and electron diffraction, the scientists produced a three-dimensional map of the hybridized "orbital hole" bonding copper with neighboring oxygen atoms in cuprite (Cu2O).

From Microphysics to Macrophysics: Methods and Applications of Statistical Physics

Quantum Gases Without Interactions.- Elements of Solid State Theory.- Liquid Helium.- Equilibrium and Transport of Radiation.- Non-Equilibrium Thermodynamics.- Kinetic Equations.- Problems.

I and i

There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.

Annual review of condensed matter physics

and P

    J. Chem. Phys

    • J. Chem. Phys
    • 2007

    J. Phys. A: Math. Theor

    • J. Phys. A: Math. Theor
    • 2013

    A: Math

    • Theor. 46, 075002
    • 2013