The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
نویسندگان
چکیده
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 novel 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 of particle fluxes. The theory provides a universal technique for identification, prediction and calculation of pump-like phenomena in an arbitrary mesoscopic stochastic framework.
منابع مشابه
Universal geometric theory of mesoscopic stochastic pumps and reversible ratchets.
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 very similar geometric phase contributions to the effective action in the stochastic path integral representation of the moment generating func...
متن کاملChaotic Hamiltonian Ratchets with Cold Atoms
Currently there is a great amount of scientific research directed at ratchet devices and mechanisms. Initially stimulated by a need to understand biological systems, the field has widened to encompass mesoscopic and atomic physics as well as quantum effects. The great majority of this effort has been directed at systems which include noise (Brownian ratchets). Comparatively little work has been...
متن کاملSuperconducting Fluxon Pumps and Lenses
We study stochastic transport of fluxons in superconductors by alternating current (ac) rectification. Our simulated system provides a fluxon pump, “lens,” or fluxon “rectifier” because the applied electrical ac is transformed into a net dc motion of fluxons. Thermal fluctuations and the asymmetry of the ratchet channel walls induce this “diode” effect, which can have important applications in ...
متن کاملMesoscopic Model of Actin-Based Propulsion
Two theoretical models dominate current understanding of actin-based propulsion: microscopic polymerization ratchet model predicts that growing and writhing actin filaments generate forces and movements, while macroscopic elastic propulsion model suggests that deformation and stress of growing actin gel are responsible for the propulsion. We examine both experimentally and computationally the 2...
متن کاملGeometric correlations and breakdown of mesoscopic universality in spin transport.
We construct a unified semiclassical theory of charge and spin transport in chaotic ballistic and disordered diffusive mesoscopic systems with spin-orbit interaction. Neglecting dynamic effects of spin-orbit interaction, we reproduce the random matrix theory results that the spin conductance fluctuates universally around zero average. Incorporating these effects into the theory, we show that ge...
متن کامل