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We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

Mathematical Physics · Physics 2015-05-14 Jeremy Clark , Christian Maes

This letter introduces a formalism for modeling time-variant channels for diffusive molecular communication systems. In particular, we consider a fluid environment where one transmitter nano-machine and one receiver nano-machine are…

Information Theory · Computer Science 2017-03-08 Arman Ahmadzadeh , Vahid Jamali , Adam Noel , Robert Schober

Molecular motors play pivotal roles in organizing the interior of cells. A motor efficient in cargo transport would move along cytoskeletal filaments with a high speed and a minimal error in transport distance (or time) while consuming a…

Biological Physics · Physics 2019-06-07 Wonseok Hwang , Changbong Hyeon

The paper studies the overdamped motion of Brownian particles in a tilted sawtooth potential. The dependencies of the diffusion coefficient and coherence level of Brownian transport on temperature, tilting force, and the shape of the…

Soft Condensed Matter · Physics 2009-11-10 E. Heinsalu , R. Tammelo , T. Ord

We study the long-time behavior of underdamped Brownian particle moving through a viscous medium and in a systematic potential, when it is subjected to a space-dependent high-frequency periodic force. When the frequency is very large, much…

Statistical Mechanics · Physics 2009-11-11 Malay Bandyopadhyay , Sushanta Dattagupta , Monamie Sanyal

We use computer simulations to test a simple idea for mapping between long-time self diffusivities obtained from molecular and Brownian dynamics. The strategy we explore is motivated by the behavior of fluids comprising particles that…

Soft Condensed Matter · Physics 2011-10-25 Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett

We present an efficient method to mix well converged ab initio forces with simpler and faster ones in molecular dynamics. While the cheap forces are evaluated every time step, the converged ones correct the trajectory only every n time…

Materials Science · Physics 2009-11-10 E. Anglada , J. Junquera , J. M. Soler

Molecular motors fulfill critical functions within all living beings. Understanding their underlying working principles is therefore of great interest. Here we develop a simple model inspired by the two-component biomolecular motor Fo-F1…

Statistical Mechanics · Physics 2024-12-30 Mathis Grelier , David A. Sivak , Jannik Ehrich

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

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

We present a detailed study of the transport and energetics of a Brownian particle moving in a periodic potential in the presence of an adiabatic external periodic drive. The particle is considered to move in a medium with periodic space…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

A colloidal particle embedded in a fluid can be used as a microscopic heat engine by means of a sequence of cyclic transformations imposed by an optical trap. We investigate a model for the operation of such kind of Brownian engines when…

Soft Condensed Matter · Physics 2021-03-30 Juan Ruben Gomez-Solano

A light-driven molecular motor system is investigated using a multi-state Brownian ratchet model described by a single effective coordinate with multiple electronic states in a dissipative environment. The rotational motion of the motor…

Chemical Physics · Physics 2019-03-22 Tatsushi Ikeda , Arend G. Dijkstra , Yoshitaka Tanimura

Brownian particles placed sequentially in contact with distinct thermal reservoirs and subjected to external driving forces are promising candidates for the construction of reliable thermal engines. In this contribution, we address the role…

Statistical Mechanics · Physics 2022-06-14 Fernando S. Filho , Bruno A. N. Akasaki , Carlos E. Fernadéz Noa , Bart Cleuren , Carlos E. Fiore

The key factor currently limiting the advancement of computational power of electronic computation is no longer the manufacturing density and speed of components, but rather their high energy consumption. While it has been widely argued…

Data Structures and Algorithms · Computer Science 2024-08-30 David Doty , Niels Kornerup , Austin Luchsinger , Leo Orshansky , David Soloveichik , Damien Woods

We analyze the performance of a Brownian ratchet in the presence of geometrical constraints. A two-state model that describes the kinetics of molecular motors is used to characterize the energetic cost when the motor proceeds under…

Biological Physics · Physics 2015-06-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

A model of an autonomous isothermal Brownian motor with an internal propulsion mechanism is considered. The motor is a Brownian particle which is semi-transparent for molecules of surrounding ideal gas. Molecular passage through the…

Statistical Mechanics · Physics 2015-06-15 A. V. Plyukhin

Routinely navigating through an ever-changing and unsteady environment, and utilizing chemical energy, molecular motors transport the cell's crucial components, such as neurotransmitters and organelles. They generate force and pull cargo,…

Biological Physics · Physics 2012-09-28 Bartosz Lisowski , Michał Żabicki

Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. Here, we experimentally study the dynamics of highly asymmetric microclusters trapped in air employing…

We discuss activated escape from a metastable state of a system driven by a time-periodic force. We show that the escape probabilities can be changed very strongly even by a comparatively weak force. In a broad parameter range, the…

Statistical Mechanics · Physics 2009-11-07 M. I. Dykman , B. Golding , L. I. McCann , V. N. Smelyanskiy , D. G. Luchinsky , R. Mannella , P. V. E. McClintock