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.

arXiv comment7 pages, 4 figures, Accepted at EPL (Europhysics Letters)

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Cited by in corpus (9)

• Cost and Precision of Brownian Clocks
• Mimicking Nonequilibrium Steady States with Stochastic Pumps
• Current fluctuations in periodically driven systems
• Thermodynamic cost of external control
• Similarities and Differences Between Nonequilibrium Steady States and Time-Periodic Driving in Diffusive Systems
• 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
• No-pumping theorem for non-Arrhenius rates