The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
arXiv:0705.2057 · doi:10.1103/PhysRevLett.99.220408
Abstract
We construct a unifying theory of geometric effects in mesoscopic stochastic kinetics. We demonstrate that the adiabatic pump and the reversible ratchet effects, as well as similar new phenomena in other domains, such as in epidemiology, all follow from geometric phase contributions to the effective action in the stochastic path integral representation of the moment generating function. The theory provides the universal technique for identification, prediction and calculation of pump-like phenomena in an arbitrary mesoscopic stochastic framework.
5 pages
References in corpus (2)
Cited by in corpus (39)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Cost and Precision of Brownian Clocks
- Directed flow in non-adiabatic stochastic pumps
- Pumping-Restriction Theorem for Stochastic Networks
- Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
- Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
- Nonadiabatic Control of Geometric Pumping
- Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems
- Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
- Geometric Heat Pump: Controlling Thermal Transport with Time-dependent Modulations
- Exact formula for currents in strongly pumped diffusive systems
- Critical behavior of entropy production and learning rate: Ising model with an oscillating field
- The stochastic pump current and the non-adiabatic geometrical phase
- Mapping current fluctuations of stochastic pumps to nonequilibrium steady states
- Geometrical Formulation of Adiabatic Pumping as a Heat Engine
- Inelastic thermoelectric transport and fluctuations in mesoscopic system
- Linear Stochastic Thermodynamics
- Non-adiabatic effect in quantum pumping for a spin-boson system
- Unification and new extensions of the no-pumping theorems of stochastic pumps
- Energy pumping in electrical circuits under avalanche noise
- Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
- Fluctuation Relations For Adiabatic Pumping
- Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
- Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion
- Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve
- Dissipative and stochastic geometric phase of a qubit within a canonical Langevin framework
- Time-dependent corrections to effective rate and event statistics in Michaelis-Menten kinetics
- Geometric Control Over the Motion of Magnetic Domain Walls
- Suppression of thermally activated escape by heating
- Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
- Transport fluctuation relations in interacting quantum pumps
- Demon driven by geometric phase
- Analysis of entropy production in finitely slow processes between nonequilibrium steady states
- The validity of the no-pumping theorem in systems with finite-range interactions between particles
- Coarse-graining stochastic biochemical networks: quasi-stationary approximation and fast simulations using a stochastic path integral technique
- Optimal control over the full counting statistics in a non-adiabatic pump
- Weak-Memory Dynamics in Discrete Time
- Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions
- Pumping current in a non-Markovian -state model