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In this paper, we study the dynamics of a finite number of spherical bubbles in a compressible fluid within a bounded open domain of R 3 . The fluid-bubble interaction is described by a system of nonlinear partial differential equations…

Analysis of PDEs · Mathematics 2026-04-10 Fabien Lespagnol , Matthieu Hillairet

When particles move through a crystal or optical lattice, their motion can sometimes become frozen by strong external forces -- yet collective motion may still emerge through subtle many-body effects. In this work, we explore such…

Solute transport in fluid-particle systems is a fundamental process in numerous scientific and engineering disciplines. The simulation of it necessitates the consideration of solid particles with intricate shapes and sizes. To address this…

Computational Engineering, Finance, and Science · Computer Science 2023-08-10 Yifeng Zhao , Pei Zhang , Stan Z. Li , S. A. Galindo-Torres

The multipole-expansion (MPE) model is an implicit solvation model used to efficiently incorporate solvent effects in quantum chemistry. Even within the recent direct approach, the multipole basis used in MPE to express the dielectric…

Chemical Physics · Physics 2021-12-10 Jakob Filser , Karsten Reuter , Harald Oberhofer

The wave-particle duality is one of the most mysterious phenomena of the quantum theory, in this paper first it's studied the rise of the wave properties of matter from the theory of stochastic electrodynamics (SED), in which de Broglie's…

Quantum Physics · Physics 2014-03-04 Cesar A. Díaz Hernández

When a laser field is incident on an overdense plasma it is unable to penetrate inside it. Nevertheless, a part of its energy gets transferred to the electrons through a variety of mechanisms (e.g. vacuum and $\vec{J}\times \vec{B}) heating…

Plasma Physics · Physics 2020-11-18 Devshree Mandal , Ayushi Vashistha , Amita Das

The nonlinear theory of Landau damping of electrostatic wave envelopes (WEs) is revisited in a quantum electron-positron (EP) pair plasma. Starting from a Wigner-Moyal equation coupled to the Poisson equation and applying the multiple scale…

Plasma Physics · Physics 2016-10-25 D. Chatterjee , A. P. Misra

We develop a dynamical theory, based on a system of ordinary differential equations describing the motion of particles which reproduces the results of quantum mechanics. The system generalizes the Hamilton equations of classical mechanics…

Quantum Physics · Physics 2012-07-12 Maxim Raykin

We show that memory, in the form of underdamped angular dynamics, is a crucial ingredient for the collective properties of self-propelled particles. Using Vicsek-style models with an Ornstein-Uhlenbeck process acting on angular velocity, we…

Statistical Mechanics · Physics 2018-09-12 Ken H. Nagai , Yutaka Sumino , Raul Montagne , Igor S. Aranson , Hugues Chaté

Potential energy surfaces of electron dynamics (ePES) are constructed from a model of localized electron wave packets (eWP) with non-orthogonal valence-bond (VB) spin coupling and applied to quantum dynamics simulations of high harmonic…

Chemical Physics · Physics 2023-03-28 Koji Ando

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

Because it allows a rigorous separation between reversible and irreversible processes, the concept of available potential energy (APE) has become central to the study of turbulent stratified fluids. In ocean modelling, it is fundamental to…

Atmospheric and Oceanic Physics · Physics 2025-06-10 Remi Tailleux , Guillaume Roullet

A Quincke roller is a unique active particle that can run and tumble freely on a flat plate due to the torque generated by a uniform DC electric field applied perpendicular to the plate. A system involving many such particles exhibits a…

Soft Condensed Matter · Physics 2023-02-06 Shun Imamura , Kohei Sawaki , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

Active matter deals with systems whose particles consume energy at the individual level in order to move. To unravel features such as the emergence of collective structures several models have been suggested, such as the on-lattice model of…

Diffusion models provide expressive priors for forecasting trajectories of dynamical systems, but are typically unreliable in the sparse data regime. Physics-informed machine learning (PIML) improves reliability in such settings; however,…

Machine Learning · Computer Science 2026-01-30 Kaiyuan Tan , Kendra Givens , Peilun Li , Thomas Beckers

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

We consider a 2D model of an autophoretic particle in which the particle has a circular shape and emits/absorbs a solute that diffuses and is advected by the suspending fluid. Beyond a certain emission/absorption rate (characterized by a…

Soft Condensed Matter · Physics 2022-11-30 A. Farutin , M. S. Rizvi , W. -F. Hu , T. S. Lin , S. Rafaï , C. Misbah

Recent advances in high-resolution imaging techniques and particle-based simulation methods have enabled the precise microscopic characterization of collective dynamics in various biological and engineered active matter systems. In…

Soft Condensed Matter · Physics 2023-02-14 Rohit Supekar , Boya Song , Alasdair Hastewell , Gary P. T. Choi , Alexander Mietke , Jörn Dunkel

Walking droplets -- millimetric oil droplets that self-propel across the surface of a vibrating fluid bath -- exhibit striking emergent statistics that remain only partially understood. In particular, in a variety of experiments, a robust…

Fluid Dynamics · Physics 2026-01-28 Skyler Mao , David Darrow

We consider the hydrodynamic behavior of some conservative particle systems with degenerate jump rates without exclusive constraints. More precisely, we study the particle systems without restrictions on the total number of particles per…

Probability · Mathematics 2017-05-01 Makiko Sasada
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