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We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each particle depends on the relative position of the particle…

Probability · Mathematics 2015-01-08 Marton Balazs , Miklos Z. Racz , Balint Toth

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

Metallic glasses are promising materials with unique mechanical and thermal properties, but their atomic-scale dynamics remain challenging to understand. In this work, we develop a unified approach to investigate the glass transition and…

Materials Science · Physics 2025-02-07 Anh D. Phan , Do T. Nga , Ngo T. Que , Hailong Peng , Thongchanh Norhourmour , Le M. Tu

The dynamics is studied of an infinite continuum system of jumping and coalescing point particles. In the course of jumps, the particles repel each other whereas their coalescence is free. As the equation of motion we take a kinetic…

Dynamical Systems · Mathematics 2020-07-28 Kozitsky Yuri , Omelyan Igor , Pilorz Krzysztof

Treating the horizon radius as an order parameter in a thermal fluctuation, the free energy landscape model sheds light on the dynamic behaviour of black hole phase transitions. Here we carry out the first investigation of the dynamics of…

General Relativity and Quantum Cosmology · Physics 2023-09-21 Jiayue Yang , Robert B. Mann

Quantum chromodymamics (QCD) approach to the problem of multiplicity distributions in high energy particle collisions is described. The solutions of QCD equations for generating functions of the multiplicity distributions in gluon and quark…

High Energy Physics - Phenomenology · Physics 2010-12-17 I. M. Dremin

Ejection of atoms from (001) surfaces of a number of real and model single crystals is studied by molecular dynamics computer simulation. Evolution of energy distributions of sputtered atoms with polar and azimuthal angle resolution with…

Materials Science · Physics 2019-12-30 V. N. Samoilov , A. I. Musin

Aggregation-diffusion equations are foundational tools for modelling biological aggregations. Their principal use is to link the collective movement mechanisms of organisms to their emergent space use patterns in a concrete mathematical…

Populations and Evolution · Quantitative Biology 2025-04-16 Jonathan R. Potts

The present paper is devoted to the mixing and heat transfer features of mutually immiscible liquids in the two-fluid turbulent heterogeneous jet flow. Many natural and technical processes deal with the turbulent jets of mutually immiscible…

Fluid Dynamics · Physics 2020-12-16 Ivan V Kazachkov

We carry out direct numerical simulations of turbulent astrophysical media that explicitly track ionizations, recombinations, and species-by-species radiative cooling. The simulations assume solar composition and follows the evolution of…

Astrophysics of Galaxies · Physics 2015-06-23 William J Gray , Evan Scannapieco , Daniel Kasen

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

We extend to the gamut of functional forms of the probability distribution of the time-dependent step-length a previous model dubbed Elephant Quantum Walk, which considers a uniform distribution and yields hyperballistic dynamics where the…

Quantum Physics · Physics 2020-07-21 Marcelo A. Pires , Giuseppe Di Molfetta , Sílvio M. Duarte Queirós

We examine the mobility and velocity fluctuations of a driven particle moving through an active matter bath of self-mobile disks for varied density or area coverage and varied activity. We show that the driven particle mobility can exhibit…

Soft Condensed Matter · Physics 2015-04-01 C. Reichhardt , C. J. Olson Reichhardt

We present a simple mechanical model for dynamic wetting phenomena. Metallic balls spread along a periodically corrugated surface simulating molecules of liquid advancing along a solid substrate. A vertical stack of balls mimics a liquid…

Condensed Matter · Physics 2009-10-28 S. F. Burlatsky , J. G. Berberian , J. Shore , W. P. Reinhardt

Using numerical simulations, we examine the dynamics of active matter run-and-tumble disks moving in a disordered array of obstacles. As a function of increasing active disk density and activity, we find a transition from a completely…

Soft Condensed Matter · Physics 2019-09-13 C. J. O. Reichhardt , C. Reichhardt

The interaction between vacancies and edge dislocations in face centered cubic metals (Al, Au, Cu, Ni) is studied at different length scales. Using empirical potentials and static relaxation, atomic simulations give us a precise description…

Materials Science · Physics 2021-01-12 Emmanuel Clouet

We present a comprehensive computational model to simulate the coupled dynamics of aqueous humor flow and heat transfer in the human eye. To manage the complexity of the model, we make significant efforts in meshing and efficient solution…

Analysis of PDEs · Mathematics 2026-03-25 Thomas Saigre , Vincent Chabannes , Christophe Prud'Homme , Marcela Szopos

The possible topology of quantum fluctuations which take place at the earliest stage of high-energy processes is studied. A new exact solution of Yang-Mills equations with fractional topological charge and carrying a single color is found.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Makhlin

Interacting argon atoms are simulated with a recently developed quantum Langevin transport treatment that takes approximate account of the quantum fluctuations inherent in microscopic many-body descriptions based on wave packets. The mass…

Statistical Mechanics · Physics 2009-10-28 A. Ohnishi , J. Randrup
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