Unification and new extensions of the no-pumping theorems of stochastic pumps

Abstract

From molecular machines to quantum dots, a wide range of mesoscopic systems can be modeled by periodically driven Markov processes, or stochastic pumps. Currents in the stochastic pumps are delimited by an exact no-go condition called the no-pumping theorem (NPT). The letter presents a unified treatment of all the adaptations of NPT known so far, and further extends it to systems with many species of interacting particles.

7 pages, 4 figures, Accepted at EPL (Europhysics Letters)

References in corpus (10)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Directed flow in non-adiabatic stochastic pumps
• Conditional statistics of electron transport in interacting nanoscale conductors
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Pumping-Restriction Theorem for Stochastic Networks
• Transport Statistics of Bistable Systems
• Exact formula for currents in strongly pumped diffusive systems
• The stochastic pump current and the non-adiabatic geometrical phase
• Supersymmetry and fluctuation relations for currents in closed networks
• Hybrid models of molecular machines and the no-pumping theorem

Cited by in corpus (4)

• Cost and Precision of Brownian Clocks
• Stochastic thermodynamics of periodically driven systems: Fluctuation theorem for currents and unification of two classes
• Free energy for non-equilibrium quasi-stationary states
• The validity of the no-pumping theorem in systems with finite-range interactions between particles