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The classical Langevin dynamics of a particle in a periodic potential energy landscape are studied via the intermediate scattering function (ISF). By construction, the particle performs coupled vibrational and activated jump motion with a…

Statistical Mechanics · Physics 2018-11-26 Peter S. M. Townsend , John Ellis

When a particle diffuses in a medium with spatially dependent friction coefficient $\alpha(r)$ at constant temperature $T$, it drifts toward the low friction end of the system even in the absence of any real physical force $f$. This…

Statistical Mechanics · Physics 2015-06-18 Oded Farago , Niels Grønbech-Jensen

Infrared (IR) divergences arise in scattering theory with massless fields and are manifestations of the memory effect. There is nothing singular about states with memory, but they do not lie in the standard Fock space. IR divergences are…

High Energy Physics - Theory · Physics 2022-09-12 Kartik Prabhu , Gautam Satishchandran , Robert M. Wald

Experiments creating extreme states of matter almost invariably create non-equilibrium states. These are very interesting in their own right but need to be understood even if the ultimate goal is to probe high-pressure or high-temperature…

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

By combining aspects of the coherent and self intermediate scattering functions, measured by dynamical light scattering on a suspension of hard sphere-like particles, we show that the arrest of particle number density fluctuations spreads…

Soft Condensed Matter · Physics 2015-05-13 W. van Megen , V. A. Martinez , G. Bryant

Macroscopic parameters as well as precise information on the random force characterizing the Langevin type description of the nuclear fusion process around the Coulomb barrier are extracted from the microscopic dynamics of individual…

Nuclear Theory · Physics 2013-07-04 Kai Wen , Fumihiko Sakata , Zhu-Xia Li , Xi-Zhen Wu , Ying-Xun Zhang , Shan-Gui Zhou

Features of the turbulent cascade are investigated for various datasets from three different turbulent flows. The analysis is focused on the question as to whether developed turbulent flows show universal small scale features. To answer…

Fluid Dynamics · Physics 2018-06-19 Nico Reinke , Andre Fuchs , Daniel Nickelsen , Joachim Peinke

It is quite clear from a wide range of experiments that gating phenomena of ion channels is inherently stochastic. It has been discussed using BD simulations in a recent paper that memory effects in ion transport is negligible, unless the…

Neurons and Cognition · Quantitative Biology 2008-01-25 Sisir Roy , Indranil Mitra , Rodolfo Llinas

Employing the stochastic mean-field (SMF) approach, we develop a quantal diffusion description of the multi-nucleon transfer in heavy-ion collisions at finite impact parameters. The quantal transport coefficients are determined by the…

Nuclear Theory · Physics 2018-06-06 S. Ayik , B. Yilmaz , O. Yilmaz , A. S. Umar

In surface diffusion, one of the key observables is the so-called intermediate scattering function which is measured directly from the surface technique called Helium spin echo. In this work, we show that this function can be seen as a…

Statistical Mechanics · Physics 2026-04-17 E. E. Torres-Miyares , S. Miret-Artés

The recently-developed non-equilibrium extension of the self-consistent generalized Langevin equation theory of irreversible relaxation [Phys. Rev. E (2010) 82, 061503; ibid. 061504] is applied to the description of the irreversible process…

Soft Condensed Matter · Physics 2013-05-29 Luis Enrique Sanchez-Diaz , Pedro Ramirez-Gonzalez , Magdaleno Medina-Noyola

We address the challenge of incorporating non-Markovian electronic friction effects in quantum-mechanical approximations of dynamical observables. A generalized Langevin equation (GLE) is formulated for ring-polymer molecular dynamics…

Materials Science · Physics 2025-06-04 George Trenins , Mariana Rossi

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schr{\"o}dinger equation. All memory effects of the reservoir are transformed into noise correlations and…

Statistical Mechanics · Physics 2007-05-23 J. Stockburger , H. Grabert

We show that the intermediate scattering function $S_n(q,t)$ for neutron scattering (ns) can be expanded naturely with respect to a set of molecular correlation functions that give a complete description of the translational and…

Statistical Mechanics · Physics 2009-10-31 Christoph Theis , Rolf Schilling

We investigate the prompt emission of few intermediate-mass fragments in spallation reactions induced by protons and deuterons in the 1 GeV range. Such emission has a minor contribution to the total reaction cross section, but it may…

Nuclear Theory · Physics 2017-04-13 P. Napolitani , M. Colonna

Fluctuation theorems are key to understanding both fundamental and applied aspects of non-equilibrium thermodynamics of small systems. We study the non-Markovian entropy production fluctuation theorem for the diffusion process of charged…

Statistical Mechanics · Physics 2026-05-06 K. S. Rodríguez-Vigil , M. A. Bastarrachea-Magnani , J. I. Jiménez-Aquino

A damped oscillator heat bath model is a modification of the standard heat bath model, wherein each bath oscillator itself has a Markovian coupling to its own heat bath [1]. We modify such a model to one where the resulting damping of the…

Statistical Mechanics · Physics 2026-04-20 Thomas Guff , Andrea Rocco

Non-Markovian dynamics is studied for two interacting quibts strongly coupled to a dissipative bosonic environment. For the first time, we have derived the non-Markovian quantum state diffusion (QSD) equation for the coupled two-qubit…

Quantum Physics · Physics 2011-09-07 Xinyu Zhao , Jun Jing , Brittany Corn , Ting Yu

The presence of pairing correlations within the time-dependent density functional theory (TDDFT) extension to superfluid systems, is tantamount to the presence of a quantum collision integral in the evolution equations, which leads to an…

Nuclear Theory · Physics 2024-06-24 Aurel Bulgac , Matthew Kafker , Ibrahim Abdurrahman , Ionel Stetcu