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On the basis of information theory, a new formalism of classical non-relativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on an (1+n)-dimensional smooth manifold are treated…

量子物理 · 物理学 2014-07-30 Yoshimasa Kurihara , Khiem Hong Phan , Nhi My Uyen Quach

A recently proposed technique correlating electric fields and particle velocity distributions is applied to single-point time series extracted from linearly unstable, electrostatic numerical simulations. The form of the correlation, which…

等离子体物理 · 物理学 2017-04-05 Kristopher G Klein

Plasmas and other systems with long-range interactions are commonly found in non-equilibrium steady states that are outside traditional Boltzmann-Gibbs statistics, but can be described using generalized statistical mechanics frameworks such…

统计力学 · 物理学 2025-07-15 Sergio Davis

Superstatistics is an elegant framework for the description of steady-state thermodynamics, mostly used for systems with long-range interactions such as plasmas. In this work, we show that the potential energy distribution of a classical…

统计力学 · 物理学 2025-03-25 Sergio Davis , Claudia Loyola , Carlos Femenías , Joaquín Peralta

We explore analytically the structure of relativistic shock and solitary wave solutions in collisionless plasmas. In the wave frame of reference, a cold plasma is flowing from one end and impacting on a low velocity plasma. First we show…

天体物理学 · 物理学 2007-05-23 David Medvigy , Abraham Loeb

The problem of the calculation of equilibrium thermodynamic properties and the establishment of statistical-thermodynamically-consistent finite bound-state partition functions in nonideal multi-component plasma systems is revised within the…

等离子体物理 · 物理学 2015-05-20 Mofreh R. Zaghloul

Superstatistics describes statistical systems that behave like superpositions of different inverse temperatures $\beta$, so that the probability distribution is $p(\epsilon_i) \propto \int_{0}^{\infty} f(\beta) e^{-\beta \epsilon_i}d\beta$,…

统计力学 · 物理学 2016-10-03 Rudolf Hanel , Stefan Thurner , Murray Gell-Mann

Some dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to steady state is described in two cases for dissipative…

混沌动力学 · 物理学 2015-06-19 Edson D. Leonel , André L. P. Livorati

In this paper, we investigate the kinetic stability of classical, collisional plasma - that is, plasma in which the mean-free-path $\lambda$ of constituent particles is short compared to the length scale $L$ over which fields and bulk…

等离子体物理 · 物理学 2023-10-30 Archie F. A. Bott , Steven C. Cowley , Alexander A. Schekochihin

Superstatistics describes nonequilibrium steady states as superpositions of canonical ensembles with a probability distribution of temperatures. Rather than assume a certain distribution of temperature, recently [J. Phys. A: Math. Theor.…

统计力学 · 物理学 2020-10-28 Sergio Davis

The dispersion relation of longitudinal electrostatic oscillations in a relativistic plasma is studied in the context of the nonextensive statistics formalism proposed by Tsallis [C. Tsallis, J. Stat. Phys. {\bf 52}, 479 (1988)], where…

等离子体物理 · 物理学 2007-05-23 Victor Munoz

We present a novel mechanism for thermalizing a system of particles in equilibrium and nonequilibrium situations, based on specifically modeling energy transfer at the boundaries via a microscopic collision process. We apply our method to…

chao-dyn · 物理学 2007-05-23 K. Rateitschak , R. Klages , G. Nicolis

The equilibria formed by the self-gravitating, collisionless collapse of simple initial conditions have been investigated for decades. We present the results of our attempts to describe the equilibria formed in $N$-body simulations using…

星系天体物理 · 物理学 2015-05-27 Eric I. Barnes , Colin P. Egerer

Gibbsian statistical mechanics is extended into the domain of non-negligible {though non-specified} correlations in phase space while respecting the fundamental laws of thermodynamics. The appropriate Gibbsian probability distribution is…

统计力学 · 物理学 2014-06-26 R. A. Treumann , W. Baumjohann

The stochastic theory of non-relativistic quantum mechanics presented here relies heavily upon the theory of stochastic processes, with its definitions, theorems and specific vocabulary as well. Its main hypothesis states indeed that the…

量子物理 · 物理学 2014-04-01 Maurice J. M. L. O. Godart

In this article we study a fully relativistic model of a two dimensional hard-disk gas. This model avoids the general problems associated with relativistic particle collisions and is therefore an ideal system to study relativistic effects…

统计力学 · 物理学 2009-11-13 Afshin Montakhab , Malihe Ghodrat , Mahmood Barati

The halo-mediated inverse mass cascade is a key feature of the intermediate statistically steady state for self-gravitating collisionless dark matter flow (SG-CFD). A broad spectrum of halos and halo groups are necessary to form from…

宇宙学与河外天体物理 · 物理学 2022-07-12 Zhijie Xu

In this work we develop on the recently suggested concept of superstatistics [C. Beck and E.G.D. Cohen, Physica A {\bf 322}, 267 (2003)], face the problem of devising a viable way for estimating the correct statistics for a system in…

统计力学 · 物理学 2007-05-23 F. Sattin

The recently developed concept of "entropic defect" is important for understanding the foundations of thermodynamics in space plasma physics, and more generally, for systems with physical correlations among their particles. Using this…

等离子体物理 · 物理学 2022-11-30 George Livadiotis , David J. McComas

This work presents a general unifying theoretical framework for quantum non-equilibrium systems. It is based on a re-statement of the dynamical problem as one of inferring the distribution of collision events that move a system toward…

量子物理 · 物理学 2015-03-30 David M. Rogers