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Over the past two decades scientists have achieved a significant improvement of our understanding of the transport of energetic particles across a mean magnetic field. Due to test-particle simulations as well as powerful non-linear…

Plasma Physics · Physics 2022-01-05 Andreas Shalchi

In this paper, a comprehensive examination of the temperature- and bias-dependent diffusion regimes of underdamped Brownian particles is presented. A temperature threshold for a transition between anomalous and normal diffusive behaviors is…

Statistical Mechanics · Physics 2021-11-16 Trey Jiron , Marygrace Prinster , Jarrod Schiffbauer

Single-particle transport in disordered potentials is investigated on scales below the localization length. The dynamics on those scales is concretely analyzed for the 3-dimensional Anderson model with Gaussian on-site disorder. This…

Statistical Mechanics · Physics 2010-11-05 Robin Steinigeweg , Hendrik Niemeyer , Jochen Gemmer

A new scenario of thermalization process of the adsorbate attached at solid surfaces is proposed. The scenario is based on existence of electric dipole layer in which the electron wavefunctions extend over the positive ions. Thus the strong…

Chemical Physics · Physics 2017-04-26 Paweł Strak , Konrad Sakowski , Stanisław Krukowski

We study spin diffusion and spin waves in paramagnetic quantum crystals (solid He-3, for example) by direct simulation of a square lattice of atoms interacting via a nearest-neighbor Heisenberg exchange Hamiltonian. Recently, Cowan and…

Statistical Mechanics · Physics 2007-05-23 R. Ragan , K. Grunwald , C. Glenz

We analyze the dynamics of particles in two dimensions with constant speed and a stochastic switching angle dynamics defined by a correlated dichotomous Markov process (telegraph noise) plus Gaussian white noise. We study various cases of…

Statistical Mechanics · Physics 2012-05-16 Christian Weber , Igor M. Sokolov , Lutz Schimansky-Geier

This work extends previous 1D irreversible port-Hamiltonian system (IPHS) formulations to boundary-controlled ND distributed parameter systems describing conduction-diffusion fluid phenomena. Within a unified and thermodynamically…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Luis Mora , Yann Le Gorrec , Hector Ramirez , Denis Matignon

In this paper we present a systematic and rigorous method for calculating the diffusion tensor for a Brownian particle moving in a periodic potential which is valid in arbitrary dimensions and for all values of the dissipation. We use this…

Statistical Mechanics · Physics 2008-05-02 G. A. Pavliotis , A. Vogiannou

We investigate time-dependent probability for a Brownian particle passing over the barrier to stay at a metastable potential pocket against escaping over the barrier. This is related to whole fusion-fission dynamical process and can be…

Data Analysis, Statistics and Probability · Physics 2014-10-13 Jie Han , Jing-Dong Bao

A quantitative model of the mobility of functionalized particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles anchored through…

Soft Condensed Matter · Physics 2024-06-19 Janna Lowensohn , Laurie Stevens , Daniel Goldstein , Bortolo Matteo Mognetti

An analytical expression is derived for the transition path time distribution for a one-dimensional particle crossing of a parabolic barrier. Two cases are analyzed: (i) A non-Markovian process described by a generalized Langevin equation…

Statistical Mechanics · Physics 2018-06-29 E. Carlon , H. Orland , T. Sakaue , C. Vanderzande

An accurate description of nonadiabatic energy relaxation is crucial for modeling atomistic dynamics at metal surfaces. Interfacial energy transfer due to electron-hole pair excitations coupled to motion of molecular adsorbates is often…

Materials Science · Physics 2017-12-07 Mikhail Askerka , Reinhard J. Maurer , Victor S. Batista , John C. Tully

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

Transport of charge carriers in mechanically soft semiconductors is mainly limited by their interaction with slow intermolecular phonons. Carrier motion exhibits a crossover from superdiffusive to subdiffusive, producing a distinct…

Strongly Correlated Electrons · Physics 2025-07-08 Veljko Janković

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

Fluid Dynamics · Physics 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

The fluctuation-dissipation theorem describes the intimate connection between the Brownian diffusion of thermal particles and their drag coefficients. In the simple case of spherical particles, it takes the form of the Stokes-Einstein…

We investigate hole transport in polymer light-emitting-diodes in which the emissive layer is made of liquid-crystalline polymer chains aligned perpendicular to the direction of transport. Calculations of the current as a function of time…

Condensed Matter · Physics 2009-10-31 A. Kambili , A. B. Walker

The overdamped dynamics of a charged particle driven by an uniform electric field through a random sequence of scatterers in one dimension is investigated. Analytic expressions of the mean velocity and of the velocity power spectrum are…

Chaotic Dynamics · Physics 2009-11-07 H. Kunz , R. Livi , A. Suto

We investigate the translocation of rods with different charge distributions using hybrid Langevin Dynamics and Lattice Boltzmann (LD-LB) simulations. Electrostatic interactions are added to the system using the $P^3M$ algorithm to model…

Soft Condensed Matter · Physics 2022-05-24 Le Qiao , Gary W. Slater

A Langevin process diffusing in a periodic potential landscape has a time dependent diffusion constant which means that its average mean squared displacement (MSD) only becomes linear at late times. The long time, or effective diffusion…

Statistical Mechanics · Physics 2015-06-19 David S. Dean , Gleb Oshanin