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We calculate a pump current in a classical two-state stochastic chemical kinetics by means of the non-adiabatic geometrical phase interpretation. The two-state system is attached to two particle reservoirs, and under a periodic perturbation…

Biological Physics · Physics 2009-11-13 Jun Ohkubo

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

Statistical Mechanics · Physics 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

Current fluctuations in a dissipative two-state system have been studied using a novel quantum dynamics simulation method. After a transformation of the path integrals, the tunneling dynamics is computed by deterministic integration over…

Statistical Mechanics · Physics 2009-10-31 J. Stockburger , C. H. Mak

We show that current fluctuations in a stochastic pump can be robustly mapped to fluctuations in a corresponding time-independent nonequilibrium steady state. We thus refine a recently proposed mapping so that it ensures equivalence of not…

Statistical Mechanics · Physics 2017-03-22 Grant M. Rotskoff

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts

We analyze the real-time dynamics of a quantum two-state system in the presence of nonequilibrium quantum fluctuations. The latter are generated by a coupling of the two-state system to a single electronic level of a quantum dot which…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Niklas Mann , Jochen Brüggemann , Michael Thorwart

Current fluctuations play an important role in non-equilibrium statistical mechanics, and are a key object of interest in both theoretical studies and in practical applications. So far, most of the studies were devoted to the fluctuations…

Statistical Mechanics · Physics 2021-06-01 Bertrand Lacroix-A-Chez-Toine , Oren Raz

We study a classical two-state stochastic system in a sea of substrates and products (absorbing states), which can be interpreted as a single Michaelis-Menten catalyzing enzyme or as a channel on a cell surface. We introduce a novel general…

Quantitative Methods · Quantitative Biology 2009-11-13 N. A. Sinitsyn , Ilya Nemenman

Fluctuation analysis is a method which allows measurement of the single channel current of ion channels even when it is too small to be resolved directly with the patch clamp technique. This is the case for voltage-gated Ca2+ channels…

Neurons and Cognition · Quantitative Biology 2017-12-13 Christian Scheppach , Hugh P. C. Robinson

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

Statistical Mechanics · Physics 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the…

Statistical Mechanics · Physics 2009-11-13 T. Bodineau , B. Derrida

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

Statistical Mechanics · Physics 2011-08-26 M. Belushkin , R. Livi , G. Foffi

Using a tight-binding model, we study one-parameter charge pumping in a one-dimensional system of non-interacting electrons. An oscillating potential is applied at one site while a static potential is applied in a different region. Using…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

We investigate the statistical fluctuations of currents in chaotic quantum dots induced by pumping and rectification at finite temperature and in the presence of dephasing. In open quantum dots, dc currents can be generated by the action of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Martinez-Mares , C. H. Lewenkopf , E. R. Mucciolo

We study nonadiabatic effects of geometric pumping. With arbitrary choices of periodic control parameters, we go beyond the adiabatic approximation to obtain the exact pumping current. We find that a geometrical interpretation for the…

Statistical Mechanics · Physics 2020-04-17 Kazutaka Takahashi , Keisuke Fujii , Yuki Hino , Hisao Hayakawa

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

We study the fluctuations of work done and dissipated heat of a Brownian particle in a symmetric double well system. The system is driven by two periodic input signals that rock the potential simultaneously. Confinement in one preferred…

Statistical Mechanics · Physics 2015-05-13 Navinder Singh , Sourabh Lahiri , A. M. Jayannavar

We present a theoretical approach to include dynamical aspects of molecular structural fluctuations, such as, for example, forming and breaking hydrogen bonds, isomerizations, and dynamical supramolecular structures, in nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Daniel S. Kosov

We study the statistical properties of currents in two particular systems of capacitively coupled parallel transport channels. In the first system, each transport channel contains a single quantum dot in contact with two electron…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 Gregory Bulnes Cuetara

We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Moskalets , M. Buttiker
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