No-Pumping Theorem for Many Particle Stochastic Pumps

2013/12/24 by Shahaf Asban, Saar Rahav
Engineering · Mathematics · Physics and Astronomy · #Mathematics #Nanopore and Nanochannel Transport Studies #Particle (ecology) #Physics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Stochastic process #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.112.050601

arxiv created 2013/12/24 · openalex publication_date 2014/02/05 · arxiv updated 2014/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Stochastic pumps are models of artificial molecular machines which are driven by periodic time variation of parameters, such as site and barrier energies. The no-pumping theorem states that no directed motion is generated by variation of only site or barrier energies [S. Rahav, J. Horowitz, and C. Jarzynski, Phys. Rev. Lett. 101, 140602 (2008)]. We study stochastic pumps of several interacting particles and demonstrate that the net current of particles satisfies an additional no-pumping theorem.

Citations

• Pumping Restriction Theorem for Stochastic Networks
• Exact Formula for Currents in Strongly Pumped Diffusive Systems
• Directed Flow in Nonadiabatic Stochastic Pumps
• Great expectations: can artificial molecular machines deliver on their promise?
• The stochastic pump effect and geometric phases in dissipative and stochastic systems
• Artificial Molecular Rotors