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We present a framework for simulating relaxation dynamics through a conical intersection of an open quantum system that combines methods to approximate the motion of degrees of freedom with disparate time and energy scales. In the vicinity…

Statistical Mechanics · Physics 2019-07-24 Addison J. Schile , David T. Limmer

We perform extensive MD simulations of two-dimensional systems of hard disks, focusing on the \emph{on}-collision statistical properties. We analyze the distribution functions of velocity, free flight time and free path length for packing…

Statistical Mechanics · Physics 2015-09-02 Alessandro Taloni , Yasmine Meroz , Adrián Huerta

A novel method aimed at a kinetic moments closure for a magnetized plasma with arbitrary collisionality is proposed. The intended first application is to a tokamak edge and scrape-off-layer plasma. The velocity distribution function for…

Plasma Physics · Physics 2019-01-09 R. E. Waltz , F. D. Halpern , Z. Deng , J. Candy

In this paper we study the finite time blow-up problem for the axisymmetric 3D incompressible Euler equations with swirl. The evolution equations for the deformation tensor and the vorticity are reduced considerably in this case. Under the…

Analysis of PDEs · Mathematics 2009-11-13 Dongho Chae

We introduce a generalised relaxation-time-approximation form of the collision term in the Boltzmann kinetic equation that allows for using different relaxation times for elastic and inelastic collisions. The efficacy of the proposed…

Nuclear Theory · Physics 2016-06-15 Wojciech Florkowski , Radoslaw Ryblewski

We investigate the probability distribution function of the free flight time and of the number of collisions in a hard sphere gas at equilibrium. At variance with naive expectation, the latter quantity does not follow Poissonian statistics,…

Statistical Mechanics · Physics 2008-04-24 P. Visco , F. van Wijland , E. Trizac

We consider a one-dimensional system of four inelastic hard spheres, colliding with a fixed restitution coefficient $r$, and we study the inelastic collapse phenomenon for such a particle system. We study a periodic, asymmetric collision…

Dynamical Systems · Mathematics 2025-10-09 Théophile Dolmaire , Eleni Hübner-Rosenau

Two dimensional modeling of collisionless shocks has been of tremendous importance in understanding the physics of the non-linear evolution, momentum transfer and particle acceleration, but current computer capacities have now reached a…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Troels Haugboelle

We study the collapse of ultracold fermionic gases into inhomogeneous states due to strong dipolar interaction in both 2D and 3D. Depending on the dimensionality, we find that two different types of inhomogeneous states are stabilized once…

Quantum Gases · Physics 2010-08-06 Kai Sun , Congjun Wu , S. Das Sarma

Theoretical approaches are formulated to investigate the molecular mobility under various cooling rates of amorphous drugs. We describe the structural relaxation of a tagged molecule as a coupled process of cage-scale dynamics and…

Soft Condensed Matter · Physics 2019-12-10 Anh D. Phan , Katsunori Wakabayashi , Marian Paluch , Vu D. Lam

The Rayleigh-Taylor (RT) instability is ubiquitously observed, yet has traditionally been studied using ideal fluid models. Collisionality can vary strongly across the fluid interface, and previous work demonstrates the necessity of kinetic…

Fluid Dynamics · Physics 2024-03-15 John Rodman , James Juno , Bhuvana Srinivasan

A first analytic assessment of the role of anisotropic corrections to the isotropic anomalous scaling exponents is given for the $d$-dimensional kinematic magneto-hydrodynamics problem in the presence of a mean magnetic field. The velocity…

chao-dyn · Physics 2009-10-31 Alessandra Lanotte , Andrea Mazzino

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

Soft Condensed Matter · Physics 2013-01-04 Kang Kim , Shinji Saito

We present a numerical study of the random Blume-Capel model in three dimension. The phase diagram is characterized by spin-glass/paramagnet phase transitions both of first and second order in the thermodynamic sense. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2011-04-12 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

A new model for lamellar surfaces formed by anisotropic molecules is proposed. The molecules have internal degrees of freedom, associated with their flexible section of length $N$ at zero temperature. We obtain a 2D non-standard six vertex…

Condensed Matter · Physics 2009-10-28 B. Bassetti , G. Mazzoletti , P. Jona

We report two phenomena, induced by dynamical correlations, that occur during the free cooling of a two-dimensional mixture of inelastic hard disks. First, we show that, due to the onset of velocity correlations, the ratio of the kinetic…

Statistical Mechanics · Physics 2007-05-23 Ciro Cattuto , Umberto Marini Bettolo Marconi

Despite the fact that the theory of mixtures has been part of non-equilibrium thermodynamics and engineering for a long time, it is far from complete. While it is well formulated and tested in the case of mechanical equilibrium (where only…

Statistical Mechanics · Physics 2022-07-01 Petr Vágner , Michal Pavelka , Jürgen Fuhrmann , Václav Klika

The origin of the dramatic changes in the behavior of liquids as they approach their vitreous state - increases of many orders of magnitude in transport properties and dynamic time scales - is a major unsolved problem in condensed matter.…

Soft Condensed Matter · Physics 2015-06-23 R. Casalini , D. Fragiadakis , C. M. Roland

Direct Monte Carlo simulations of the Enskog-Boltzmann equation for a spatially uniform system of smooth inelastic spheres are performed. In order to reach a steady state, the particles are assumed to be under the action of an external…

Statistical Mechanics · Physics 2016-08-31 J. M. Montanero , A. Santos

We extend our previous analysis of holographic heavy ion collisions in non-conformal theories. We provide a detailed description of our numerical code. We study collisions at different energies in gauge theories with different degrees of…