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The efficiency of a Brownian particle moving in periodic potential in the presence of asymmetric unbiased fluctuations is investigated. We found that there is a regime where the efficiency can be a peaked function of temperature, which…

Biological Physics · Physics 2007-05-23 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , De-Hua Wen , Hui-Zhang Xie , Wei Chen , Liang-Gang Liu

It is shown that the ratio between the expected diameter of an L2-bounded martingale and the standard deviation of its last term cannot exceed sqrt(3). Moreover, a one-parameter family of stopping times on standard Brownian Motion is…

Probability · Mathematics 2008-07-24 Lester E. Dubins , David Gilat , Isaac Meilijson

We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability density, current, entropy production rate, extractable power, and…

Statistical Mechanics · Physics 2023-08-01 Connor Roberts , Zigan Zhen

We show that directed ratchet transport of a driven overdamped Brownian particle subjected to a spatially periodic and symmetric potential can be reliably controlled by tailoring a biharmonic temporal force, in coherence with the…

Statistical Mechanics · Physics 2015-06-12 Pedro J. Martínez , Ricardo Chacón

We present a model for a thermal Brownian motor based on Feynman's famous ratchet and pawl device. Its main feature is that the ratchet and the pawl are in different thermal baths and connected by an harmonic spring. We simulate its…

Other Condensed Matter · Physics 2009-11-11 A. Gomez-Marin , J. M. Sancho

We present a detailed study of the transport and the efficiency of a ratchet system in a periodic potential in the presence of correlated noises. The current and the efficiency of the system are investigated. It is found that, when the…

Biological Physics · Physics 2009-11-10 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , De-Hua Wen , Wei Chen , Liang-Gang Liu

Quantum Brownian motion in ratchet potentials is investigated by means of an approach based on a duality relation. This relation links the long-time dynamics in a tilted ratchet potential in the presence of dissipation with the one in a…

Statistical Mechanics · Physics 2007-06-13 J. Peguiron , M. Grifoni

An ensemble of Brownian particles in a feedback controlled flashing ratchet is studied. The ratchet potential is switched on and off depending on the position of the particles, with the aim of maximizing the current. We study in detail a…

Statistical Mechanics · Physics 2007-05-23 F. J. Cao , L. Dinis , J. M. R. Parrondo

The rectification of unbiased fluctuations, also known as the ratchet effect, is normally obtained under statistical non-equilibrium conditions. Here we propose a new ratchet mechanism where a thermal bath solicits the random rotation of an…

Soft Condensed Matter · Physics 2013-03-21 A. Gnoli , A. Petri , F. Dalton , G. Gradenigo , G. Pontuale , A. Sarracino , A. Puglisi

The existence and properties of an exact universal excitation waveform for optimal enhancement of directed ratchet transport are deduced from the criticality scenario giving rise to ratchet universality, and confirmed by numerical…

Adaptation and Self-Organizing Systems · Physics 2020-05-11 Ricardo Chacón , Pedro J. Martínez

We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

Statistical Mechanics · Physics 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

We consider Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion. Provided a supercritical supply of energy, these…

Statistical Mechanics · Physics 2009-10-31 Frank Schweitzer , Benno Tilch , Werner Ebeling

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

The efficiency of different types of Brownian motors is calculated analytically and numerically. We find that motors based on flashing ratchets present a low efficiency and an unavoidable entropy production. On the other hand, a certain…

Statistical Mechanics · Physics 2009-10-31 J. M. R. Parrondo , J. M. Blanco , F. J. Cao , R. Brito

The system consists of a Brownian particle immersed in a heat bath trapped in optical tweezers with a time-dependent strength acting as an external protocol. In [Phys. Rev. Letts., 98:108301, 2007] the optimal mean work in the overdamped…

Statistical Mechanics · Physics 2023-02-03 Pedro J. Colmenares , Oscar Paredes-Altuve

Gas turbine engines are highly efficient and powerful because of their high-pressure turbines (HPTs). Furthermore, stationary blades shape and prepare high-pressure gas for efficient utilization by moving blades. Consequently, optimizing…

Fluid Dynamics · Physics 2024-01-05 Seyed Ehsan Hosseini , Saeid Jafaripanah , Zoheir Saboohi

The efficiency of energy transduction in a temporally asymmetric rocked ratchet is studied. Time asymmetry favours current in one direction and suppresses it in the opposite direction due to which large efficiency ~ 50% is readily obtained.…

Statistical Mechanics · Physics 2009-07-13 Raishma Krishnan , Mangal C. Mahato , A. M. Jayannavar

The energetics of a Brownian heat engine and heat pump driven by position dependent temperature, known as the B\"uttiker-Landauer heat engine and heat pump, is investigated by numerical simulations of the inertial Langevin equation. We…

Statistical Mechanics · Physics 2014-06-03 Ronald Benjamin

We consider an inertial active Ornstein-Uhlenbeck particle self-propelling in a saw-tooth ratchet potential. Using the Langevin simulation and matrix continued fraction method, the particle transport, steady state diffusion, and coherence…

Soft Condensed Matter · Physics 2022-11-30 M Muhsin , M Sahoo

In this work we show that optimal ratchet currents of two interacting particles are obtained when stable periodic motion is present. By increasing the coupling strength between identical ratchet maps, it is possible to find, for some…

Chaotic Dynamics · Physics 2019-12-12 Rafael M. da Silva , Cesar Manchein , Marcus W. Beims