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It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

The reactivity of fusion plasma depends not only on its local density and temperature but also, through a recently identified kinetic effect, on the relative velocities of nearby fluid elements. Turbulence on fine spatial scales therefore…

Plasma Physics · Physics 2025-06-17 Henry Fetsch , Nathaniel J. Fisch

The formalism that describes radiative-capture reactions at low energies within an extended two-cluster potential model is presented. Construction of the operator of single-photon emission is based on a generalisation of the Siegert theorem…

Nuclear Theory · Physics 2008-11-26 L. Canton , L. G. Levchuk

We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We study the system via reaction-diffusion equations, using the…

Statistical Mechanics · Physics 2009-11-11 Elisheva Cohen , David A. Kessler , Herbert Levine

Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase…

Soft Condensed Matter · Physics 2016-01-20 Blesson Chacko , Christopher Chalmers , Andrew J. Archer

This paper presents a structured power and energy-flow-based qualitative modelling approach that is applicable to a variety of system types including electrical and fluid flow. The modelling is split into two parts. Power flow is a global…

Artificial Intelligence · Computer Science 2014-02-05 Neal Andrew Snooke , Mark H Lee

We study flow-induced enhancement of the speed of pulsating traveling fronts for reaction-diffusion equations, and quenching of reaction by fluid flows. We prove, for periodic flows in two dimensions and any combustion-type reaction, that…

Analysis of PDEs · Mathematics 2009-05-27 Andrej Zlatos

Aggregation and disaggregation of clusters of attractive particles under flow are studied from numerical and theoretical points of view. Two-dimensional molecular dynamics simulations of both Couette and Poiseuille flows highlight the…

Motivated by solid-solid phase transitions in elastic thin films, we perform a Gamma-convergence analysis for a singularly perturbed energy describing second order phase transitions in a domain of vanishing thickness. Under a two-wells…

Analysis of PDEs · Mathematics 2012-02-29 Bernardo Galvão-Sousa , Vincent Millot

Direct interactions between the flow field and the chemical reaction in premixed flames occur when the reaction zone thickness is comparable to, or greater than flow length scales. To study such interactions, a laminar model is considered…

Fluid Dynamics · Physics 2024-07-02 Prabakaran Rajamanickam , Joel Daou

An approach for understanding the behavior of multiplicity distributions in restricted phase-space intervals derived on the basis of global observables is proposed. We obtain a unifying connection between local multiparticle clusters and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Chekanov , V. I. Kuvshinov

General formulation for the effective field theory with differential operator technique and the decoupling approximation with larger finite clusters (namely EFT-$N$ formulation) has been derived, for S-1/2 bulk systems. The effect of the…

Statistical Mechanics · Physics 2015-12-09 Ümit Akıncı

We apply a simple statistical mechanics cluster approximation for studying clustering in the Kern and Frenkel model of Janus fluids. The approach is motivated by recent Monte Carlo simulations work on the same model revealing that the vapor…

Soft Condensed Matter · Physics 2011-03-14 Riccardo Fantoni , Achille Giacometti , Francesco Sciortino , Giorgio Pastore

We investigate a two-dimensional network simulator that model the dynamics of two-phase immiscible bulk flow where film flow can be neglected. We present a method for simulating the detailed dynamical process where the two phases are…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Eyvind Aker , Alex Hansen

A general, two-way coupled, point-particle formulation that accounts for the disturbance created by the dispersed particles in obtaining the undisturbed fluid flow field needed for accurate computation of the force closure models is…

Fluid Dynamics · Physics 2021-06-02 Pedram Pakseresht , Sourabh V. Apte

We investigated a nonlinear advection-diffusion-reaction equation for a passive scalar field. The purpose is to understand how the compressibility can affect the front dynamics and the bulk burning rate. We study two classes of flows:…

Biological Physics · Physics 2013-07-01 Federico Bianco , Sergio Chibbaro , Davide Vergni , Angelo Vulpiani

We compute rates and pathways for nucleation in a sheared two dimensional Ising model with Metropolis spin flip dynamics, using Forward Flux Sampling (FFS). We find a peak in the nucleation rate at intermediate shear rate. We analyse the…

Soft Condensed Matter · Physics 2009-11-13 Rosalind J. Allen , Chantal Valeriani , Sorin Tanase-Nicola , Pieter Rein ten Wolde , Daan Frenkel

We develop and analyze a two-mode phase-field-crystal model to describe fcc ordering. The model is formulated by coupling two different sets of crystal density waves corresponding to <111> and <200> reciprocal lattice vectors, which are…

Materials Science · Physics 2010-07-01 Kuo-An Wu , Ari Adland , Alain Karma

Energy transfer in turbulent flows is typically described either through correlation functions, via the K\'arm\'an-Howarth-Monin relation, or through a scale-by-scale budget of filtered energy (Frisch 1995). For constant-density turbulence,…

Fluid Dynamics · Physics 2026-01-06 Hridey Narula , Prasad Perlekar

We perform large-scale molecular dynamics simulations to study heated granular fluids in three dimensions. Granular particles dissipate their kinetic energy due to solid frictional interaction with other particles. The velocity of each…

Statistical Mechanics · Physics 2018-01-25 Prasenjit Das , Sanjay Puri , Moshe Schwartz