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The Friedman test has been extensively applied as a nonparametric alternative to the conventional F procedure for comparing treatment effects in randomized complete block designs. A chi-square distribution provides a convenient…

Methodology · Statistics 2025-03-24 Show-Li Jan , Gwowen Shieh

We compute analytically the distribution function P(E) for the energy E acquired by a Fermi gas after being subjected to an arbitrary time-dependent external potential (switching event). We relate the distribution function to a solution of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Adamov , B. Mouzykantskii

A new kinetic theory Boltzmann-like collision term including correlations is proposed. In equilibrium it yields the one-particle distribution function in the form of a generalised-Lorentzian resembling but not being identical with the…

Plasma Physics · Physics 2009-10-31 R. A. Treumann

The debate surrounding fast magnetic energy dissipation by magnetic reconnection has remained a fundamental topic in the plasma universe, not only in the Earth's magnetosphere but in astrophysical objects such as pulsar magnetospheres and…

High Energy Astrophysical Phenomena · Physics 2021-06-22 Masahiro Hoshino

We introduce an exactly solvable model of a fermi gas in one dimension and compute the momentum distribution exactly. This is based on a generalisation of the ideas of bosonization in one dimension. It is shown that in the RPA limit(the…

Condensed Matter · Physics 2008-02-03 Girish S. Setlur

A general approach for deriving the expression of reference distribution functions by statistical thermodynamics is illustrated, and applied to the case of a magnetically confined plasma. The local equilibrium is defined by imposing the…

Statistical Mechanics · Physics 2015-06-16 Giorgio Sonnino , Alessandro Cardinali , Philippe Peeters , György Steinbrecher , Alberto Sonnino

We numerically study the distributions of global pressure that are found in ensembles of statically jammed and quasistatically sheared systems of bidisperse, frictionless, disks at fixed packing fraction $\phi$ in two dimensions. We use…

Disordered Systems and Neural Networks · Physics 2015-06-17 Daniel Vagberg , Yegang Wu , Peter Olsson , S. Teitel

The analysis of nonlinear interaction of transversal electromagnetic field with quantum collisionless plasma is carried out. Formulas for calculation electric current in quantum collisionless plasma at any temperature are deduced. It has…

Plasma Physics · Physics 2014-02-07 A. V. Latyshev , A. A. Yushkanov

We present a general scheme for constructing Monte Carlo realizations of equilibrium, collisionless galaxy models with known distribution function (DF) f_0. Our method uses importance sampling to find the sampling DF f_s that minimizes the…

Astrophysics · Physics 2008-08-06 Mimi Zhang , John Magorrian

Employing molecular dynamics simulations of jammed soft particles, we study microscopic responses of force-chain networks to quasi-static isotropic (de)compressions. We show that not only contacts but also interparticle gaps between the…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Vanessa Magnanimo , Stefan Luding

The mechanism of diffusive Fermi acceleration at collisionless plasma shock waves is widely invoked in astrophysics to explain the appearance of non-thermal particle populations in a variety of environments, including sites of cosmic ray…

Astrophysics · Physics 2007-05-23 Matthew G. Baring

We suggest the diffuse approach to the relaxation processes within the kinetic theory for the Wigner distribution function. The diffusion and drift coefficients are evaluated taking into consideration the interparticle collisions on the…

Nuclear Theory · Physics 2015-04-02 V. M. Kolomietz , S. V. Lukyanov

We present first principles simulations of the direct collisionless coupling of the free energy of fusion-born ions into electron current in a magnetically confined fusion plasma. These simulations demonstrate, for the first time, a key…

Plasma Physics · Physics 2015-05-19 J. W. S. Cook , S. C. Chapman , R. O. Dendy

The linear and nonlinear evolutions of the tearing instability in a collisionless plasma with a strong guide field are analyzed on the basis of a two-field Hamiltonian gyrofluid model. The model is valid for a low ion temperature and a…

Plasma Physics · Physics 2022-02-16 Camille Granier , Dario Borgogno , Daniela Grasso , Emanuele Tassi

In N-body simulations the force calculated between particles representing a given mass distribution is usually softened, to diminish the effect of graininess. In this paper we study the effect of such a smoothing, with the aim of finding an…

Astrophysics · Physics 2009-10-31 E. Athanassoula , E. Fady , J. -C. Lambert , A. Bosma

We derive the expression of the reference distribution function for magnetically confined plasmas far from the thermodynamic equilibrium. The local equilibrium state is fixed by imposing the minimum entropy production theorem and the…

Using the framework of soft-collinear effective theory (SCET), we factorize and calculate $e^+e^-$ angularity distributions, including perturbative resummation and the incorporation of a universal model for the nonperturbative soft…

High Energy Physics - Phenomenology · Physics 2009-05-05 Christopher Lee , Andrew Hornig , Grigory Ovanesyan

We investigate the quantum Vlasov equation with a source term describing the spontaneous particle creation in strong fields. The back-reaction problem is treated by solving this kinetic equation together with the Maxwell equation which…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. A. Smolyansky , V. A. Mizerny , A. V. Prozorkevich , D. V. Vinnik , V. D. Toneev

The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel plates and satisfying bag boundary conditions. A magnetic field perpendicular…

High Energy Physics - Theory · Physics 2011-01-28 Andrea Erdas

In assumed probability density function (pdf) methods of turbulent combustion, the shape of the scalar pdf is assumed a priori and the pdf is parametrized by its moments for which model equations are solved. In non-premixed flows the beta…

Fluid Dynamics · Physics 2010-11-05 J. Bakosi , J. R. Ristorcelli
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