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We study single-file diffusion on a one-dimensional lattice with a random fractal distribution of hopping rates. For finite lattices, this problem shows three clearly different regimes, namely, nearly independent particles, highly…

Statistical Mechanics · Physics 2017-03-08 L. Padilla , H. O. Mártin , J. L. Iguain

We present results on tagged particle diffusion in a meso-scale lattice model for sheared amorphous material in athermal quasi-static conditions. We find a short time diffusive regime and a long time diffusive regime whose diffusion…

Soft Condensed Matter · Physics 2018-10-10 Botond Tyukodi , Craig E Maloney , Damien Vandembroucq

The modelling of linear and nonlinear reaction-subdiffusion processes is more subtle than normal diffusion and causes different phenomena. The resulting equations feature a spatial Laplacian with a temporal memory term through a time…

Analysis of PDEs · Mathematics 2021-08-24 Jichen Yang , Jens D. M. Rademacher

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file…

Statistical Mechanics · Physics 2023-02-28 P. M. Centres , S. J. Manzi , V. D. Pereyra , S. Bustingorry

Using kinetic Monte Carlo simulations and a bond-counting ansatz, thermal stability and diffusion of an adatom island on a crystal surface are studied. At low temperatures, the diffusion constant $D$ is found to decrease for a wide range of…

Condensed Matter · Physics 2009-10-31 T. Muller , W. Selke

It is known that diffusion provokes substantial changes in continuous absorbing phase transitions. Conversely, its effect on discontinuous transitions is much less understood. In order to shed light in this direction, we study the inclusion…

Statistical Mechanics · Physics 2014-09-25 Carlos E. Fiore , Gabriel T. Landi

We study diffusion coefficients of liquid domains by explicitly taking into account the two-layered structure called leaflets of the bilayer membrane. In general, the velocity fields associated with each leaflet are different and the layers…

Soft Condensed Matter · Physics 2015-06-18 Kazuhiko Seki , Saurabh Mogre , Shigeyuki Komura

We report new results about the two-time dynamics of an anomalously diffusing classical particle, as described by the generalized Langevin equation with a frequency-dependent noise and the associated friction. The noise is defined by its…

Statistical Mechanics · Physics 2009-11-07 Noelle Pottier

The impact of quantum fluctuations on the phase diffusion in resistively shunted superconducting quantum points subject to an external ac-voltage is studied. Based on an extension of the classical Smoluchowski equation to the quantum…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 M. Florencia Carusela , Joachim Ankerhold

Recent experiments have used scattering to map the flow of electrons in a two-dimensional electron gas. Among other things, the data from these experiments show perseverance of regular interference fringes beyond the kinematic thermal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. E. J. Shaw , R. Fleischmann , E. J. Heller

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

Statistical Mechanics · Physics 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi

We analyze the phase diffusion, quantum fluctuations and their spectral features of an one-dimensional Bose-Josephson junction (BJJ) coupled to a bosonic heat bath. We show the dependence of the phase diffusion coefficient on the on-site…

Atomic Physics · Physics 2023-04-04 Abhik Kumar Saha , Deb Shankar Ray , Bimalendu Deb

One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent…

Statistical Mechanics · Physics 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

We investigate, how finite temperature influences quantum coherence in multipartite open systems by analyzing a tripartite spin boson model subjected to non-Markovian dephasing. Two distinct environmental configurations are considered viz.…

Quantum Physics · Physics 2026-03-12 Pranav Perumalsamy , Abhijit Mandal , Sovik Roy , Md Manirul Ali

In this article we extend the results presented in Ref. [Phys. Rev. A 76, 032101 (2007)] to treat quantitatively the effects of reservoirs at finite temperature in a bosonic dissipative network: a chain of coupled harmonic oscillators…

Quantum Physics · Physics 2015-05-13 M. A. de Ponte , S. S. Mizrahi , M. H. Y. Moussa

We numerically investigate momentum diffusion rates for the pulse kicked rotor across the quantum to classical transition as the dynamics are made more macroscopic by increasing the total system action. For initial and late time rates we…

Quantum Physics · Physics 2009-11-07 A. J. Daley , A. S. Parkins , R. Leonhardt , S. M. Tan

Behavior of the mixture of particles and dimers moving with different jump rates at reconstructed surfaces is described. Collective diffusion coefficient is calculated by the variational approach. Anisotropy of the collective particle…

Statistical Mechanics · Physics 2014-05-12 Marcin Mińkowski , Magdalena A. Załuska Kotur

Surface chemistry on interstellar dust grains is recognized as a central component in astrochemical models, representing a plausible formation route for many of the observed complex molecular species. However, key parameters governing…

Astrophysics of Galaxies · Physics 2026-01-22 Francesco Benedetti , Mauro Satta , Tommaso Grassi , Stefan Vogt-Geisse , Stefano Bovino

Decoherence is ubiquitous in quantum physics, from the conceptual foundations to quantum information processing or quantum technologies, where it is a threat that must be countered. While decoherence has been extensively studied for simple,…

The effect of decoherence, induced by spontaneous emission, on the dynamics of cold atoms periodically kicked by an optical lattice is experimentally and theoretically studied. Ideally, the mean energy growth is essentially unaffected by…

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