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We examine information theory using the steady-state Boltzmann equation. In a nonequilibrium steady-state system under steady heat conduction, the thermodynamic quantities from information theory are calculated and compared with those from…

Statistical Mechanics · Physics 2015-06-24 Kim Hyeon-Deuk , Hisao Hayakawa

The application of information theory approach (both in its extensive and nonextensive versions) to high energy multiparticle processes is discussed and confronted with experimental data on e+e- annihilation processes, pp and \bar{p}p…

High Energy Physics - Phenomenology · Physics 2014-11-17 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

There is a renewed interest in the uncertainty principle, reformulated from the information theoretic point of view, called the entropic uncertainty relations. They have been studied for various integrable systems as a function of their…

Quantum Physics · Physics 2007-11-28 M. S. Santhanam

We pedagogically present the information theory as originally established, explaining its essential ideas and paying attention to the expression employed to measure the amount of information. Also we discussed relationships between…

Quantum Physics · Physics 2019-12-10 Wallas S. Nascimento , Marcos M. de Almeida , Frederico V. Prudente

If we have a particle immersed in a field of random forces, each interaction of the particle with the field can enlarge or diminish its kinetic energy. In this work is shown that in general, for any field of random force with uniform…

General Physics · Physics 2012-04-24 Hector Javier Durand-Manterola

All contemporary phenomenological models of elastic hadronic scattering have been based on the assumption of validity of optical theorem that was overtaken from optics. It has been stated that it may be proven in particle physics. However,…

Nuclear Theory · Physics 2015-02-03 Jiri Prochazka , Vojtech Kundrat , Milos V. Lokajicek

A conception of inhomogeneous locally random distribution of microdefects in crystalline solids is proposed. A method to calculate some physical properties of solids, containing inhomogeneously distributed defects, is developed. A…

Materials Science · Physics 2007-05-23 Yuri Kornyushin

In recent years, the unified theory of information and thermodynamics has been intensively discussed in the context of stochastic thermodynamics. The unified theory reveals that information theory would be useful to understand…

Statistical Mechanics · Physics 2018-07-23 Sosuke Ito

We show that the production rates of light-flavoured mesons and baryons in inelastic pp and p$\bar{p}$ collisions can be described by a simple approach used to describe data obtained in $e^{+}e^{-}$ annihilation. Based on the idea of string…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yi-Jin Pei

We study the approach to equilibrium of systems of gas particles in terms of relative entropy. The systems are modeled by the Kac master equation in arbitrary dimensions. First, we study the Kac system coupled to a thermostat, and secondly…

Mathematical Physics · Physics 2023-01-24 Lukas Hauger

In this work, conditional entropy is used to quantify the information loss induced by passing a continuous random variable through a memoryless nonlinear input-output system. We derive an expression for the information loss depending on the…

Information Theory · Computer Science 2012-02-03 Bernhard C. Geiger , Christian Feldbauer , Gernot Kubin

Statistical parametric models are proposed to explain the values of the Planck constant obtained by comparing electrical and mechanical powers and by counting atoms in Si 28 enriched crystals. They assume that uncertainty contributions --…

Data Analysis, Statistics and Probability · Physics 2016-01-22 Giovanni Mana

This is an attempt to address diffusion phenomena from the point of view of information theory. We imagine a regular hamiltonian system under the random perturbation of thermal (molecular) noise and chaotic instability. The irregularity of…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

We construct the hadronic multiplicity distribution in terms of an elementary distribution (at given impact parameter) and the inelastic overlap function characterized by the observed BEL (Blacker-Edgier-Larger) behaviour. With suitable…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. C Beggio , M. J. Menon , P. Valin

We observe that the yield strength of a variety of materials, including highly structured and densely packed metals, alloys and semi-crystalline polymers is reasonably approximated by the thermal energy density of the material. This…

Materials Science · Physics 2015-03-30 Parag Katira , Henry Hess

A kinetic approach to the notion of information is proposed, based on Liouville kinetic theory. The general kinetic equation for the evolution of the N-particle information $\mathcal{I}_N$ in a Hamiltonian system of large particle number…

Statistical Mechanics · Physics 2015-03-11 R. A. Treumann , W. Baumjohann

Impact of single particle onto a rigid substrate leads to its deformation and fragmentation. The flow associated with the particle spreading on a solid substrate after impact is extremely complicated. In this theoretical study a simplified…

Fluid Dynamics · Physics 2021-12-20 Ilia V. Roisman

We present the LHC predictions for the WHDG model of radiative, elastic, and path length fluctuating energy loss. We find the pT dependence of RAA is qualitatively very different from AWS-based energy loss extrapolations to the LHC; the…

Nuclear Theory · Physics 2010-11-26 William A. Horowitz

The general idea of information entropy provided by C.E. Shannon "hangs over everything we do" and can be applied to a great variety of problems once the connection between a distribution and the quantities of interest is found. The Shannon…

Nuclear Theory · Physics 2018-02-20 Chun-Wang Ma , Yu-Gang Ma

We introduce the concept of {\em information compressibility}, $K_I$, which measures the relative change of number of available microstates of an open system in response to an energy variation. We then prove that at the time in which the…

Statistical Mechanics · Physics 2009-11-13 M. Di Ventra , Y. Dubi