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Related papers: Scaling and localization in multipole-conserving d…

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This work investigates the out-of-equilibrium dynamics of dipole and higher-moment conserving systems with long-range interactions, drawing inspiration from trapped ion experiments in strongly tilted potentials. We introduce a hierarchical…

Statistical Mechanics · Physics 2023-11-14 Jacopo Gliozzi , Julian May-Mann , Taylor L. Hughes , Giuseppe De Tomasi

We study the dynamics of shock-tracking probe particles in driven diffusive systems and also in equilibrium systems. In a driven system, they induce a diverging timescale that marks the crossover between a passive scalar regime at early…

Statistical Mechanics · Physics 2007-05-23 Sakuntala Chatterjee , Mustansir Barma

A steady self-diffusion process in a gas of hard spheres at equilibrium is analyzed. The system exhibits a constant gradient of labeled particles. Neither the concentration of these particles nor its gradient are assumed to be small. It is…

Statistical Mechanics · Physics 2015-06-17 J. Javier Brey , M. J. Ruiz-Montero

Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the scaling behaviors of higher-order gaps in the largest…

Statistical Mechanics · Physics 2024-11-01 Sheng Fang , Qing Lin , Jun Meng , Bingsheng Chen , Jan Nagler , Youjin Deng , Jingfang Fan

A stochastic differential equation that describes the dynamics of single-domain magnetic particles at any temperature is derived using a classical formalism. The deterministic terms recover existing theory and the stochastic process takes…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Michail Tzoufras , Gregory J. Parker , Michael K. Grobis

The quantum dynamics of a two state system coupled to a bosonic reservoir with sub-Ohmic spectral density is investigated for strong friction. Numerically exact path integral Monte Carlo methods reveal that in contrast to conventional…

Statistical Mechanics · Physics 2015-06-04 Denis Kast , Joachim Ankerhold

We study spherical, charged and self--similar distributions of matter in the diffusion approximation. We propose a simple, dynamic but physically meaningful solution. For such a solution we obtain a model in which the distribution becomes…

General Relativity and Quantum Cosmology · Physics 2009-11-11 W. Barreto , A. Da Silva

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

Quantum Physics · Physics 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

We consider a collection of weakly interacting diffusion processes moving in a two-scale locally periodic environment. We study the large deviations principle of the empirical distribution of the particles' positions in the combined limit…

Probability · Mathematics 2022-11-03 Zachary Bezemek , Konstantinos Spiliopoulos

We first clarify through classical examples the status of the laws of macroscopic physics as laws of large numbers. We next consider the mirrors model in a finite $d$-dimensional domain and connected to particles reservoirs at fixed…

Statistical Mechanics · Physics 2016-02-17 Yann Chiffaudel , Raphaël Lefevere

When single-particle dynamics are suppressed in certain strongly correlated systems, dipoles arise as elementary carriers of quantum kinetics. These dipoles can further condense, providing physicists with a rich realm to study fracton…

Quantum Gases · Physics 2023-10-05 Wenhui Xu , Chenwei Lv , Qi Zhou

We are concerned with fully-discrete schemes for the numerical approximation of diffusive-dispersive hyperbolic conservation laws with a discontinuous flux function in one-space dimension. More precisely, we show the convergence of…

Numerical Analysis · Mathematics 2015-05-06 Rajib Dutta , Ujjwal Koley , Deep Ray

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

Soft Condensed Matter · Physics 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary states with fractal properties when put in contact with…

Statistical Mechanics · Physics 2009-08-28 Felipe Barra , Pierre Gaspard , Thomas Gilbert

The Gaussian phase-space representation can be used to implement quantum dynamics for fermionic particles numerically. To improve numerical results, we explore the use of dynamical diffusion gauges in such implementations. This is achieved…

Mathematical Physics · Physics 2023-12-07 F Rousse , M Fasi , A Dmytryshyn , M Gulliksson , M Ogren

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

We study the classical mechanics and dynamics of particles that retains some memory of quantum statistics. Our work builds on earlier work on the statistical mechanics and thermodynamics of such particles. Starting from the effective…

Quantum Physics · Physics 2025-11-21 Varsha Subramanyan , T. H. Hansson , Smitha Vishveshwara

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

Quantum Gases · Physics 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

We study arrays of plasmonic nanoparticles combined with quantum emitters, quantum plasmonic lattices, as a platform for room temperature studies of quantum many-body physics. We outline a theory to describe surface plasmon polariton…

Quantum Gases · Physics 2016-09-01 J. -P. Martikainen , M. O. J. Heikkinen , P. Törmä

The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that…

Statistical Mechanics · Physics 2025-10-24 Manuel Mayo , María Isabel García de Soria , Pablo Maynar , José Javier Brey