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The no-pumping theorem states that seemingly natural driving cycles of stochastic machines fail to generate directed motion. Initially derived for single particle systems, the no-pumping theorem was recently extended to many-particle…

统计力学 · 物理学 2017-02-02 Saar Rahav

Stochastic pumps are models of artificial molecular machines which are driven by periodic time variation of parameters, such as site and barrier energies. The no-pumping theorem states that no directed motion is generated by variation of…

统计力学 · 物理学 2014-07-29 Shahaf Asban , Saar Rahav

The control of chemical dynamics requires understanding the effect of time-dependent transition rates between states of chemo-mechanical molecular configurations. Pumping refers to generating a net current, e.g. per period in the…

统计力学 · 物理学 2015-05-18 C. Maes , K. Netocny , S. R. Thomas

We analyze a generic model of mesoscopic machines driven by the nonadiabatic variation of external parameters. We derive a formula for the probability current; as a consequence we obtain a no-pumping theorem for cyclic processes satisfying…

统计力学 · 物理学 2009-10-02 Jordan M. Horowitz , Christopher Jarzynski

A stochastic pump is a Markov model of a mesoscopic system evolving under the control of externally varied parameters. In the model, the system makes random transitions among a network of states. For such models, a "no-pumping theorem" has…

统计力学 · 物理学 2012-03-16 Dibyendu Mandal , Christopher Jarzynski

We study a model of synthetic molecular motor - a [3]-catenane consisting of two small macrocycles mechanically interlocked with a bigger one - subjected to a time-dependent driving using stochastic thermodynamics. The model presents…

统计力学 · 物理学 2023-06-28 Massimo Bilancioni , Massimiliano Esposito , Emanuele Penocchio

From molecular machines to quantum dots, a wide range of mesoscopic systems can be modeled by periodically driven Markov processes, or stochastic pumps. Currents in the stochastic pumps are delimited by an exact no-go condition called the…

统计力学 · 物理学 2014-12-10 Dibyendu Mandal

Very recently [Phys. Rev. E 82, 021921 (2010)] a simple mechanism was presented by which a molecule subjected to forced oscillations, out of thermal equilibrium, can maintain quantum entanglement between two of its quantum degrees of…

量子物理 · 物理学 2012-07-16 Gian Giacomo Guerreschi , Jianming Cai , Sandu Popescu , Hans J. Briegel

One-dimensional hopping model is useful to describe the motion of microscopic particle in thermal noise environment, such as motor proteins. Recent experiments about the new generation of light-driven rotary molecular motors found that, the…

化学物理 · 物理学 2010-07-06 Yunxin Zhang

We analyze the operation of a molecular machine driven by the non-adiabatic variation of external parameters. We derive a formula for the integrated flow from one configuration to another, obtain a "no-pumping theorem" for cyclic processes…

统计力学 · 物理学 2008-10-08 Saar Rahav , Jordan Horowitz , Christopher Jarzynski

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

软凝聚态物质 · 物理学 2024-01-09 Sergey Khrapak

Chemical reactions subjected to time-varying external forces cannot generally be described through a fixed bottleneck near the transition state barrier or dividing surface. A naive dividing surface attached to the instantaneous, but moving,…

混沌动力学 · 物理学 2014-05-01 Galen T. Craven , Thomas Bartsch , Rigoberto Hernandez

Nano-scale fluid transport has vast applications spanning from water desalination to biotechnology [1,2]. It is possible to pump fluids in nano-conduits using pressure gradients [3], thermal methods [4], electric [5,6] and magnetic fields…

介观与纳米尺度物理 · 物理学 2019-01-09 Yigit Akkus , Ali Beskok

Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hybrid models, the discrete variables can switch on and off…

计算工程、金融与科学 · 计算机科学 2012-08-21 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

Molecular dynamics simulations have been performed on pure liquid water, aqueous solutions of sodium chloride, and polymer solutions exposed to a strong external electric field with the goal to gain molecular insight into the structural…

软凝聚态物质 · 物理学 2016-08-08 I. Nezbeda , J. Jirsák , F. Moučka , W. R. Smith

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

软凝聚态物质 · 物理学 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

Singularities in macroscopic systems at discontinuous phase transitions are replaced in finite systems by sharp but continuous changes. Both the energy differences between metastable and stable phases and the energy barriers separating…

统计力学 · 物理学 2009-11-13 Alexander Patashinski , Mark Ratner

Two models involving particles moving by ``hopping'' in disordered media are investigated: I) A model glass-forming liquid is investigated by molecular dynamics under (pseudo-) equilibrium conditions. ``Standard'' results such as mean…

无序系统与神经网络 · 物理学 2007-05-23 Thomas B. Schroeder

The no-pumping theorem refers to a Markov system that holds the detailed balance, but is subject to a time-periodic external field. It states that the time-averaged probability currents nullify in the steady periodic (Floquet) state,…

统计力学 · 物理学 2017-04-26 Narek H. Martirosyan

We study large deviations of the dynamical activity in the random orthogonal model (ROM). This is a fully connected spin-glass model with one-step replica symmetry breaking behaviour, consistent with the random first-order transition…

统计力学 · 物理学 2010-04-20 Robert L. Jack , Juan P. Garrahan
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