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We study the effects of an intermittent harmonic potential of strength $\mu = \mu_0 \nu$ -- that switches on and off stochastically at a constant rate $\gamma$, on an overdamped Brownian particle with damping coefficient $\nu$. This can be…

Statistical Mechanics · Physics 2021-07-28 Ion Santra , Santanu Das , Sujit Kumar Nath

We construct a microscopic model of low-dissipation engines by driving a Brownian particle in a time-dependent harmonic potential. Shortcuts to adiabaticity and shortcuts to isothermality are introduced to realize the adiabatic and…

Statistical Mechanics · Physics 2023-01-11 Xiu-Hua Zhao , Zheng-Nan Gong , Z. C. Tu

Information thermodynamics provides a framework for studying the effect of feedback loops on entropy production. It has enabled the understanding of novel thermodynamic systems such as the information engine which can be seen as a modern…

Statistical Mechanics · Physics 2015-12-02 Michael Maitland , Stefan Grosskinsky , Rosemary J. Harris

Quantum fluctuations, which result from the Heisenberg uncertainty principle, explain a number of physical observations, from the finite mass of elementary particles to the Lamb shift in hydrogen and the Casimir effect. The local violation…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Mathieu Lamblin , Martin Bowen

We consider the thermally activated escape of an overdamped Brownian particle over a potential barrier in the presence of periodic driving. A time-dependent path-integral formalism is developed which allows us to derive asymptotically exact…

Statistical Mechanics · Physics 2009-10-31 Jörg Lehmann , Peter Reimann , Peter Hänggi

We consider overdamped Brownian dynamics in a periodic potential with temporally oscillating amplitude. We analyze the transport which shows effective diffusion enhanced by the oscillations and derive approximate expressions for the…

Other Condensed Matter · Physics 2015-05-18 Pawel Romanczuk , Felix Mueller , Lutz Schimansky-Geier

In this study, we investigate the crucial role of measurement time ($t_m$), information gain and energy consumption in information engines (IEs) utilizing a von-Neumann measurement model. These important measurement parameters allow us to…

Quantum Physics · Physics 2024-04-29 Henning Kirchberg , Abraham Nitzan

Gathering information about a system enables greater control over it. This principle lies at the core of information engines, which use measurement-based feedback to rectify thermal noise and convert information into work. Originating from…

Statistical Mechanics · Physics 2025-01-24 Rémi Goerlich , Laura Hoek , Omer Chor , Saar Rahav , Yael Roichman

A harmonically trapped active Brownian particle exhibits two types of positional distributions -- one has a single peak, the other has a single well -- that signify steady-state dynamics with low and high activity, respectively. Adding…

We obtain an almost sure bound for oscillation rates of empirical distribution functions for stationary causal processes. For short-range dependent processes, the oscillation rate is shown to be optimal in the sense that it is as sharp as…

Probability · Mathematics 2007-05-23 Wei Biao Wu

We pedagogically present the information theory as originally established, explaining its essential ideas and paying attention to the expression employed to measure the amount of information. Also we discussed relationships between…

Quantum Physics · Physics 2019-12-10 Wallas S. Nascimento , Marcos M. de Almeida , Frederico V. Prudente

We study the large-time behaviour of Brownian particles moving through a viscous medium in a confined potential, and which are further subjected to position-dependent driving forces that are periodic in time. We focus on the case where…

Statistical Mechanics · Physics 2009-11-10 Sreedhar B. Dutta , Mustansir Barma

A quantum measurement involves energy exchanges between the system to be measured and the measuring apparatus. Some of them involve energy losses, for example because energy is dissipated into the environment or is spent in recording the…

Quantum Physics · Physics 2025-04-10 Guillermo Perna , Esteban Calzetta

The problem of estimating an unknown force driving a linear oscillator is revisited. When using linear measurement, feedback is often cited as a mechanism to enhance bandwidth or sensitivity. We show that as long as the oscillator dynamics…

In Szilard's engine, measurement and feedback allows to extract work from an equilibrium environment, a process otherwise forbidden by the laws of thermodynamics. Recent theoretical developments have established fluctuation theorems and…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 David Barker , Sebastian Lehmann , Kimberly A. Dick , Peter Samuelsson , Ville Maisi , Patrick P. Potts

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

In order to optimize the directed motion of an inertial Brownian motor, we identify the operating conditions that both maximize the motor current and minimize its dispersion. Extensive numerical simulation of an inertial rocked ratchet…

Statistical Mechanics · Physics 2009-11-11 Lukasz Machura , Marcin Kostur , Fabio Marchesoni , Peter Talkner , Peter Hänggi , Jerzy Luczka

The rectification of noise into directed movement or useful energy is utilized by many different systems. The peculiar nature of the energy source and conceptual differences between such Brownian motor systems makes a characterization of…

Statistical Mechanics · Physics 2011-02-04 M. Zelan , H. Hagman , G. Labaigt , S. Jonsell , C. M. Dion

We study single-variable approaches for describing stochastic dynamics with small inertia. The basic models we deal with describe passive Brownian particles and phase elements (phase oscillators, rotators, superconducting Josephson…

Statistical Mechanics · Physics 2025-12-23 Denis S. Goldobin , Lyudmila S. Klimenko , Irina V. Tyulkina , Vasily A. Kostin , Lev A. Smirnov

Many physical, biological, and even social systems are faced with the problem of how to efficiently harvest free energy from an environment that can have many possible states, yet only have a limited number of harvesting protocols to choose…

Statistical Mechanics · Physics 2024-12-04 Harrison Hartle , David Wolpert , Andrew Stier , Christopher P. Kempes , Gonzalo Manzano