Pumping Restriction Theorem for Stochastic Networks

2008/08/31 by Vladimir Chernyak, V. Y. Chernyak, Nikolai A. Sinitsyn +1 · 5 citations
Mathematics · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Balance (ability) #Computer science #Detailed balance #Dissipative system #Mathematics #Neural dynamics and brain function #Physics #Quantum mechanics #Statistical physics #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.101.160601

published as Phys. Rev. Lett. 101, 160601, 2008 · 4 pages, 5 figures

arxiv created 2008/09/02 · openalex publication_date 2008/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We formulate an exact result, which we refer to as the pumping restriction theorem (PRT). It imposes strong restrictions on the currents generated by periodic driving in a generic dissipative system with detailed balance, and provides a universal nonperturbative approach to explore the stochastic pump effect in nonadiabatically driven systems.

Citations

• The stochastic pump current and the non-adiabatic geometrical phase
• Symmetry relations for trajectories of a Brownian motor
• Directed Flow in Nonadiabatic Stochastic Pumps

Cited by

• Non-Equilibrium Thermodynamics and Topology of Currents
• No-Pumping Theorem for Many Particle Stochastic Pumps
• Directional fidelity of nanoscale motors and particles is limited by the 2nd law of thermodynamics—Via a universal equality
• The thermodynamics of enhanced heat transfer: a model study
• Robust quantization of a molecular motor motion in a stochastic environment