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The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials…

Soft Condensed Matter · Physics 2023-10-23 Alberto Megías

Plasmas in which there is a threshold for a dominant reaction to take place (such as recombination or attachment) will have particle distributions that evolve as the reaction progresses. The form of the Boltzmann collision term in such a…

Plasma Physics · Physics 2008-10-13 D A Diver , L F A Teodoro , C S MacLachlan , H E Potts

We study decoherence of the external degree of freedom of a tracer particle moving in a one dimensional dilute Boltzmann gas. We find that phase averaging is the dominant decoherence effect, rather than information exchange between tracer…

Quantum Physics · Physics 2011-04-04 Ingo Kamleitner

Equilibrium free energy differences are given by exponential averages of nonequilibrium work values; such averages, however, often converge poorly, as they are dominated by rare realizations. I show that there is a simple and intuitively…

Statistical Mechanics · Physics 2009-11-11 Christopher Jarzynski

We discuss the influence of collisions on the dynamics of an ultracold gas whose constituents interact via dipolar forces. This dynamics is governed by the elastic scattering cross section of the molecules, which is to some extent under the…

Quantum Gases · Physics 2025-12-02 Reuben R. W. Wang , John L. Bohn

Starting from the Boltzmann equation we calculate the frequency and the damping of the monopole and quadrupole oscillations of a classical gas confined in an harmonic potential. The collisional term is treated in the relaxation time…

Condensed Matter · Physics 2009-10-31 D. Guery-Odelin , F. Zambelli , J. Dalibard , S. Stringari

We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

High Energy Physics - Phenomenology · Physics 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

The collision theory for power-law distributions and a generalized collision theory rate coefficient is studied when the reactions take place in nonequilibrium systems with power-law distributions. We obtain the power-law rate coefficient…

Statistical Mechanics · Physics 2015-08-10 Cangtao Yin , Jiulin Du

We formulate the relativistic dissipative hydrodynamics of a system of quasi-particles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with…

High Energy Physics - Phenomenology · Physics 2025-04-17 Arghya Mukherjee , Samapan Bhadury , Pracheta Singha

Inconsistencies are pointed out in the usual quantum versions of the classical linear Boltzmann equation constructed for a quantized test particle in a gas. These are related to the incorrect formal treatment of momentum decoherence. We…

Quantum Physics · Physics 2015-05-13 Lajos Diosi

The quantum version of the Boltzmann transport equation (Wigner-Boltzmann equation) is a quite useful tool to investigate the effects of energy dissipation in quantum systems. Numerical approaches uses to be employed in order to stablish a…

Statistical Mechanics · Physics 2017-09-19 A. R. Fernandes Nt. , L. F. Santos

We discuss the information that can be obtained from an analysis of fluctuations in heavy ion collisions within the context of the statistical model of particle production. We then examine the recently published experimental data on ratio…

Nuclear Theory · Physics 2012-02-22 Giorgio Torrieri , Rene Bellwied , Christina Markert , Gary Westfall

We investigate traffic flows using the kinetic Boltzmann equations with a Maxwell collision integral. This approach allows analytical determination of the transient behavior and the size distributions. The relaxation of the car and cluster…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We report the statistical properties of spherical steel particles rolling on an inclined surface being driven by an oscillating wall. Strong dissipation occurs due to collisions between the particles and rolling and can be tuned by changing…

Soft Condensed Matter · Physics 2009-11-07 Daniel L. Blair , A. Kudrolli

We consider a lattice gas interacting by the exclusion rule in the presence of a random field given by i.i.d. bounded random variables in a bounded domain in contact with particles reservoir at different densities. We show, in dimensions $d…

Probability · Mathematics 2015-05-13 Mustapha Mourragui , Enza Orlandi

A kinetic equation for a dilute gas of hard spheres confined between two parallel plates separated a distance smaller than two particle dimeters is derived. It is a Boltzmann-like equation, which incorporates the effect of the confinement…

Statistical Mechanics · Physics 2016-11-23 J. Javier Brey , P. Maynar , M. I. García de Soria

We revisit the problem of condensation for independent, identically distributed random variables with a power-law tail, conditioned by the value of their sum. For large values of the sum, and for a large number of summands, a condensation…

Statistical Mechanics · Physics 2022-03-03 Claude Godrèche

Whereas the original Boltzmann's $H$-theorem applies to elastic collisions, its rigorous generalization to the inelastic case is still lacking. Nonetheless, it has been conjectured in the literature that the relative entropy of the velocity…

Soft Condensed Matter · Physics 2021-06-09 Alberto Megías , Andrés Santos

We investigate the dynamics of a gas of non-interacting particle-like soliton waves, demonstrating that phase transitions originate from their collective behavior. This is predicted by solving exactly the nonlinear equations and by…

Pattern Formation and Solitons · Physics 2009-11-13 Andrea Fratalocchi , Claudio Conti , Giancarlo Ruocco , Stefano Trillo

We investigate the distribution of relative velocities between small heavy particles of different sizes in turbulence by analysing a statistical model for bidisperse turbulent suspensions, containing particles with two different Stokes…

Fluid Dynamics · Physics 2017-12-20 J. Meibohm , L. Pistone , K. Gustavsson , B. Mehlig