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We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient…

软凝聚态物质 · 物理学 2017-01-04 Sebastian Leitmann , Thomas Franosch

With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed nuclei at subbarrier energies. The calculated results are in a good…

核理论 · 物理学 2011-11-10 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

We derive, through subordination techniques, a generalized Feynman-Kac equation in the form of a time fractional Schrodinger equation. We relate such equation to a functional which we name the subordinated local time. We demonstrate through…

统计力学 · 物理学 2023-05-01 Toby Kay , Luca Giuggioli

The East process is a 1D kinetically constrained interacting particle system, introduced in the physics literature in the early 90's to model liquid-glass transitions. Spectral gap estimates of Aldous and Diaconis in 2002 imply that its…

概率论 · 数学 2014-12-22 Shirshendu Ganguly , Eyal Lubetzky , Fabio Martinelli

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

软凝聚态物质 · 物理学 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

Half-space directed polymers in random environments are models of interface growth in the presence of an attractive hard wall. They arise naturally in the study of wetting and entropic repulsion phenomena. In 1985, Kardar predicted a…

概率论 · 数学 2024-10-22 Victor Ginsburg

Searching for reaction pathways describing rare events in large systems presents a long-standing challenge in chemistry and physics. Incorrectly computed reaction pathways result in the degeneracy of microscopic configurations and inability…

化学物理 · 物理学 2019-06-18 J. Rydzewski , O. Valsson

The escape rate \Gamma of the large-spin model described by the Hamiltonian H = -DS_z^2 - H_zS_z - H_xS_x is investigated with the help of the mapping onto a particle moving in a double-well potential U(x). The transition-state method…

统计力学 · 物理学 2009-10-31 D. A. Garanin , X. Martinez Hidalgo , E. M. Chudnovsky

We consider the time-dependent response of a gravitationally-thinning inviscid liquid sheet (a coating curtain) leaving a vertical slot to sinusoidal ambient pressure disturbances. The theoretical investigation employs the hyperbolic…

流体动力学 · 物理学 2021-01-26 Bridget M. Torsey , Steven J. Weinstein , David S. Ross , Nathaniel S. Barlow

This paper investigates optimal fluctuations for chemical reaction systems with N species, M reactions, and general rate law. In the limit of large volume, large fluctuations for such models occur with overwhelming probability in the…

概率论 · 数学 2025-06-10 Feng Zhao , Jinjie Zhu , Yang Li , Xianbin Liu , Dongping Jin

We applied a hybrid-dimensional flow model to pressure transients recorded during pumping experiments conducted at the Reiche Zeche underground research laboratory to study the normal opening behavior of fractures due to fluid injection.…

地球物理 · 物理学 2021-03-29 Patrick Schmidt , Holger Steeb , Jörg Renner

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

无序系统与神经网络 · 物理学 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux

Kramers' theory frames chemical reaction rates in solution as reactants overcoming a barrier in the presence of friction and noise. For weak coupling to the solution, the reaction rate is limited by the rate at which the solution can…

统计力学 · 物理学 2015-12-09 Kirill A. Velizhanin , Subin Sahu , Chih-Chun Chien , Yonatan Dubi , Michael Zwolak

We investigate the concept of molecular-sized outward-swinging gate, which allows for entropy decrease in an isolated system. The theoretical analysis, the Monte Carlo simulation, and the direct solution of governing equations all suggest…

软凝聚态物质 · 物理学 2021-12-24 Yu Qiao , Zhaoru Shang , Rui Kou

In many biological situations, a species arriving from a remote source diffuses in a domain confined between two parallel surfaces until it finds a binding partner. Since such a geometric shape falls in between two- and three-dimensional…

化学物理 · 物理学 2019-11-05 Denis S. Grebenkov , Diego Krapf

Novel physical mechanism is proposed for explanation of temperature-independent transition reactions in molecular systems. The mechanism becomes effective in the case of conformation transitions between quasi-isoenergetic molecular states.…

统计力学 · 物理学 2012-11-01 V. I. Teslenko , E. G. Petrov , A. Verkhratsky , O. A. Krishtal

We establish a unified fluctuation-response relation for Langevin dynamics. By exploiting the common mathematical structures underlying fluctuations and responses of empirical density and current, we derive a unified identity that…

统计力学 · 物理学 2026-01-26 Hyun-Myung Chun , Euijoon Kwon , Hyunggyu Park , Jae Sung Lee

We report the study of a random Lorentz gas with a reaction of isomerization $A\rightleftharpoons B$ between the two colors of moving particles elastically bouncing on hard disks. The reaction occurs when the moving particles collide on…

混沌动力学 · 物理学 2009-11-10 Laszlo Matyas , Pierre Gaspard

We explore several potential issues that have been raised over the years regarding the "entropic droplet" scenario of activated transport in liquids, due to Wolynes and coworkers, with the aim of clarifying the status of various…

无序系统与神经网络 · 物理学 2014-12-05 Vassiliy Lubchenko , Pyotr Rabochiy

We suggest that the broad distribution of time scales in financial markets could be a crucial ingredient to reproduce realistic price dynamics in stylised Agent-Based Models. We propose a fractional reaction-diffusion model for the dynamics…

数理金融 · 定量金融 2018-03-14 Michael Benzaquen , Jean-Philippe Bouchaud