Nonequilibrium work statistics of an Aharonov-Bohm flux
arXiv:1106.5385 · doi:10.1103/PhysRevE.84.011138
Abstract
We investigate the statistics of work performed on a noninteracting electron gas confined into a ring as a threaded magnetic field is turned on. For an electron gas initially prepared in a grand canonical state it is demonstrated that the Jarzynski equality continues to hold in this case, with the free energy replaced by the grand potential. The work distribution displays a marked dependence on the temperature. While in the classical (high temperature) regime, the work probability density function follows a Gaussian distribution and the free energy difference entering the Jarzynski equality is null, the free energy difference is finite in the quantum regime, and the work probability distribution function becomes multimodal. We point out the dependence of the work statistics on the number of electrons composing the system.
arXiv comment13 pages, 4 figures. Accepted by Phys. Rev. E
References in corpus (21)
- A nonequilibrium equality for free energy differences
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Fluctuation theorems: Work is not an observable
- The Nonequilibrium Thermodynamics of Small Systems
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
- Fluctuation theorem for currents in open quantum systems
- An experimental test of the Jarzynski equality in a mechanical experiment
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Comparison of far-from-equilibrium work relations
- Stochastic thermodynamics of chemical reaction networks
- Nonequilibrium work distribution of a quantum harmonic oscillator
- Fluctuation theorems for quantum master equations
- Persistent spin and mass currents and Aharonov-Casher effect
- Fluctuation theorems in driven open quantum systems
- Fluctuation theorems for continuously monitored quantum fluxes
- A quantum version of free energy - irreversible work relations
- Microcanonical quantum fluctuation theorems
- Statistics of work performed on a forced quantum oscillator
- Nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces
Cited by in corpus (17)
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- Statistics of the work distribution for a quenched Fermi gas
- Interference of Identical Particles and the Quantum Work Distribution
- Work fluctuations for Bose particles in grand canonical initial states
- Group-theoretical approach to the calculation of quantum work distribution
- Work distributions for random sudden quantum quenches
- Quantum work distributions associated with the dynamical Casimir effect
- Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
- Fluctuation theorems without time-reversal symmetry
- Sequential measurements and entropy
- Statistics of work done in degenerate parametric amplification process
- A framework for sequential measurements and general Jarzynski equations
- Theory of Quantum Work in Metallic Grains
- Stochastic thermodynamics of a finite quantum system coupled to a heat bath
- Modified Jarzynski equality in a microcanonical ensemble
- Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
- Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems