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The origin of non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Recent results indicate a connection between non-extensive statistics and thermofractals. After reviewing this connection, we…

High Energy Physics - Theory · Physics 2020-03-02 Airton Deppman , Eugenio Megias , Debora P. Menezes

We present a direct numerical simulation method for investigating the dynamics of dispersed particles in a compressible solvent fluid. The validity of the simulation is examined by calculating the velocity relaxation of an impulsively…

Soft Condensed Matter · Physics 2015-06-04 Rei Tatsumi , Ryoichi Yamamoto

A simple recursion procedure was devised to generate lattice configurations with probability distributions given by simple approximate Yang-Mills vacuum wavefunctionals. A few quantities determined in ensembles of these configurations are…

High Energy Physics - Lattice · Physics 2011-02-24 J. Greensite , S. Olejnik

A classical computer simulating Schrodinger dynamics of a quantum system requires resources which scale exponentially with the size of the system, and is regarded as inefficient for such purposes. However, a quantum computer made up of a…

Quantum Physics · Physics 2015-06-16 Ravi Shankar , Swathi S. Hegde , T. S. Mahesh

Given $n$ independent samples from a $d$-dimensional probability distribution, our aim is to generate diffusion-based samples from a distribution obtained by tilting the original, where the degree of tilt is parametrized by $\theta \in…

It was found in [Europhysics Letters {\bf 104}, (2013), 60003] that classical Tsallis theory exhibits poles in the partition function ${\cal Z}$ and the mean energy $<{\cal U}>$. These occur at a countably set of the q-line. We give here,…

Statistical Mechanics · Physics 2016-11-15 M. C. Rocca , A. Plastino , G. L. Ferri

An algorithm for fast calculation of the Coulombic forces and energies of point particles with free boundary conditions is proposed. Its calculation time scales as N log N for N particles. This novel method has lower crossover point with…

Computational Physics · Physics 2009-11-13 Alexey Neelov , S. Alireza Ghasemi , Stefan Goedecker

The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution. A particularly interesting case is when a driven system (e.g., active matter) is…

Statistical Mechanics · Physics 2012-03-27 Carlos Perez-Espigares , Alejandro B. Kolton , Jorge Kurchan

We show that scattering amplitudes between initial wave packet states and certain coherent final states can be computed in a systematic weak coupling expansion about classical solutions satisfying initial value conditions. The initial value…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas M. Gould , Stephen D. H. Hsu , Erich R. Poppitz

Physics is based on probabilities as fundamental entities of a mathematical description. Expectation values of observables are computed according to the classical statistical rule. The overall probability distribution for one world covers…

Quantum Physics · Physics 2024-10-28 C. Wetterich

A class of discrete distributions can be derived from stationary renewal processes. They have the useful property that the mean is a simple function of the model parameters. Thus regressions of the distribution mean on covariates can be…

Methodology · Statistics 2018-03-01 Rose Baker

A random number generator for the Kappa velocity distribution in particle simulations is proposed. Approximating the cumulative distribution function with the q-exponential function, an inverse transform procedure is constructed. The…

Plasma Physics · Physics 2026-05-12 Seiji Zenitani , Takayuki Umeda

We present and study a Particle method for the stationary solutions of a class of transport equations. This method is inspired by non-stationary Particle methods, the time variable being replaced by one spatial variable. Particles…

Numerical Analysis · Mathematics 2025-11-13 Rafael Bailo , Julie Binard , Pierre Degond , Pascal Noble

Based on the Tsallis entropy, the nonextensive thermodynamic properties are studied as a q-deformation of classical statistical results using only probabilistic methods and straightforward calculations. It is shown that the constant in the…

Statistical Mechanics · Physics 2007-05-23 Franck Jedrzejewski

We explore a new computational strategy for determining the equation of state of the SU(3) Yang-Mills theory. By imposing shifted boundary conditions, the entropy density is computed from the vacuum expectation value of the off-diagonal…

High Energy Physics - Lattice · Physics 2013-11-15 Leonardo Giusti , Michele Pepe

This article introduces a method for adjusting macro-particle weights within a particle distribution while preserving statistical and physical properties. The method allows the weights of the new macro-particle distribution to be determined…

Computational Physics · Physics 2024-03-19 Nicolas Pichoff , Samuel Marini

An emissivity formula is derived using the generalised Fermi-Weizacker-Williams method of virtual photons which accounts for the recoil the charged particle experiences as it emits radiation. It is found that through this derivation the…

Plasma Physics · Physics 2015-12-09 J. L. Martins , M. Vranic , T. Grismayer , J. Vieira , R. A. Fonseca , L. O. Silva

Particle smoothers are widely used algorithms allowing to approximate the smoothing distribution in hidden Markov models. Existing algorithms often suffer from slow computational time or degeneracy. We propose in this paper a way to improve…

Methodology · Statistics 2011-07-28 Cyrille Dubarry , Randal Douc

The generation of pseudo-random discrete probability distributions is of paramount importance for a wide range of stochastic simulations spanning from Monte Carlo methods to the random sampling of quantum states for investigations in…

Quantum Physics · Physics 2015-07-02 Jonas Maziero

We develop a theory of securities price formation and dynamics based on quantum approach and without presuming any similarities with quantum mechanics. Disorder introduced by trading environment leads to probability distribution of returns…

Trading and Market Microstructure · Quantitative Finance 2016-05-19 Jack Sarkissian