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The dielectric susceptibility of most materials follows a fractional power-law frequency dependence that is called the "universal" response. We prove that in the time domain this dependence gives differential equations with derivatives and…

Optics · Physics 2018-01-18 Vasily E. Tarasov

This work presents a formalism to derive field quantities and conservation laws from the atomistic using the theory of distributions as the mathematical tool. By defining temperature as a derived quantity as that in molecular kinetic theory…

Statistical Mechanics · Physics 2023-11-20 Youping Chen

The Lorentz-Dirac radiation reaction formula predicts that the position shift of a charged particle due to the radiation reaction is of first order in acceleration if it undergoes a small acceleration. A semi-classical calculation shows…

Quantum Physics · Physics 2007-05-23 Atsushi Higuchi

Classifications of symmetries and conservation laws are presented for a variety of physically and analytically interesting wave equations with power onlinearities in n spatial dimensions: a radial hyperbolic equation, a radial Schrodinger…

Mathematical Physics · Physics 2007-05-23 Stephen C. Anco , Nataliya M. Ivanova

We analyse diffusion at low temperature by bringing the fluctuation-dissipation theorem (FDT) to bear on a physically natural, viscous response-function R(t). The resulting diffusion-law exhibits several distinct regimes of time and…

Statistical Mechanics · Physics 2018-05-03 Urbashi Satpathi , Supurna Sinha , Rafael D. Sorkin

This work defines density factor as the ratio of before ignition density to after ignition density of the ignition mixture. This work provides an estimation method for explosive limits of various fuels under room temperature and pressure by…

Chemical Physics · Physics 2017-01-23 Ali M. Nassimi , Mohammad Jafari , Hossein Farrokhpour , Mohammad H. Keshavarz

The origin of a chemical reaction between two reactant atoms is associated to the activation energy, with the assumption that, high-energy collisions between these atoms, are the ones that overcome the activation energy. Here, we (i) show…

General Physics · Physics 2014-05-20 Andrew Das Arulsamy

We propose a new and general formalism for elementary chemical reactions where quantum electronic variables are used as reaction coordinates. This formalism is in principle applicable to all kinds of chemical reactions ionic or covalent.…

Chemical Physics · Physics 2014-01-29 S. Aubry

We derive thermal QCD sum rules for the correlation function of two vector currents in the rho-meson channel. It takes into account the leading non-perturbative corrections from the additional operators, which appear due to the breakdown of…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik , Krishnendu Mukherjee

The conservation laws of nonrelativistic and relativistic systems are reviewed and some simple illustrations are provided for the restrictive nature of the relativistic conservation law involving the center of energy compared to the…

Classical Physics · Physics 2015-05-13 Timothy H. Boyer

We consider the double trapping reaction A + B -> B, B + C -> C in one dimension. The survival probability of a given A particle is calculated under various conditions on the diffusion constants of the reactants, and on the ratio of initial…

Statistical Mechanics · Physics 2009-11-11 Alan J. Bray , Richard Smith

We develop a microscopic theory for reaction-difusion (R-D) processes based on a generalization of Einstein's master equation with a reactive term and we show how the mean field formulation leads to a generalized R-D equation with…

Statistical Mechanics · Physics 2015-05-30 Jean Pierre Boon , James F. Lutsko , Christopher Lutsko

The paper presents new thermodynamic paradigm of chemical equilibrium, setting forth comprehensive basics of Discrete Thermodynamics of Chemical Equilibria (DTd). Along with previous results by the author during the last decade, this work…

General Physics · Physics 2011-10-31 B. Zilbergleyt

This work gives a van't Hoff law expression of Langmuir constants of different species for determining their occupancy in the nanocavities of clathrate hydrates. The van't Hoff law's parameters are derived from a fit with Langmuir constants…

Earth and Planetary Astrophysics · Physics 2015-03-17 Azzedine Lakhlifi , Pierre Richard Dahoo

The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approximations of the Fourier law, via memory relaxations and…

Analysis of PDEs · Mathematics 2022-07-05 Filippo Dell'Oro , Vittorino Pata

The Hadron Resonance Gas Model with two chemical freeze-outs, connected by conservation laws is considered. We are arguing that the chemical freeze-out of strange hadrons should occur earlier than the chemical freeze-out of non-strange…

High Energy Physics - Phenomenology · Physics 2014-11-21 D. R. Oliinychenko , V. V. Sagun , A. I. Ivanytskyi , K. A. Bugaev

The rates of chemical reactions are not absolute but their magnitude depends upon the relative speeds of the moving observers. This has been proved by unifying theories of chemical kinetics, which are transition state theory, collision…

General Physics · Physics 2017-06-13 Mirza Wasif Baig

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for de-confinement, as…

High Energy Physics - Phenomenology · Physics 2017-01-27 Alejandro Ayala , C. A. Dominguez , M. Loewe

This is the continuation of a previous article, in which the Bjorken and Voloshin sum rules were interpreted as statements of conservation of probability and energy. Here the formalism is extended to higher moments of the Hamiltonian…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chi-Keung Chow , Dan Pirjol

This study reports the results of an experimental and theoretical investigation of the N(2D) + H2 and N(2D) + D2 reactions at room temperature and below. On the experimental side, a supersonic flow (Laval nozzle) reactor was employed to…