Dynamics of Energy Fluctuations in Equilibrating and Driven-Dissipative Systems
arXiv:1202.5053 · doi:10.1088/1751-8113/46/9/095002
Abstract
When two isolated system are brought in contact, they relax to equilibrium via energy exchange. In another setting, when one of the systems is driven and the other is large, the first system reaches a steady-state which is not described by the Gibbs distribution. Here, we derive expressions for the size of energy fluctuations as a function of time in both settings, assuming that the process is composed of many small steps of energy exchange. In both cases the results depend only on the average energy flows in the system, independent of any other microscopic detail. In the steady-state we also derive an expression relating three key properties: the relaxation time of the system, the energy injection rate, and the size of the fluctuations.
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Classical and Quantum Fluctuation Theorems for Heat Exchange
- Quantum critical states and phase transitions in the presence of non equilibrium noise
- Dynamic Nuclear Polarization with Single Electron Spins
- The Inelastic Maxwell Model
- Chaos and energy spreading for time-Dependent Hamiltonians, and the various Regimes in the theory of Quantum Dissipation
- Universal energy fluctuations in thermally isolated driven systems
- An exactly solvable model for driven dissipative systems
- Non-equilibrium fluctuation theorems in the presence of local heating