A Diagrammatic Kinetic Theory For Describing Long Timescale Correlations In Dense Simple Liquids In The Overdamped Limit
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A Diagrammatic Kinetic Theory for Describing Long Timescale Correlations in Dense, Simple Liquids in the Overdamped Limit
Starting from an exact diagrammatic theory for density correlations in dense, atomic fluids, we derive a set of graphical approximations to this theory that are consistent with a set of physical assumptions that define an overdamped limit of the dynamics of the system. The results of a simple one loop approximation to this theory are then compared with data from molecular dynamics simulations for a number of correlation functions of a simple Lennard-Jones fluid at a single, high density and a range of temperatures. For correlation functions that have most of their decay over times for which the overdamped theory is valid, the one loop approximation gives accurate results, except for coherent correlation functions at small wavevector, for which the overdamped theory is not expected to be accurate. Although the temperature range we studied included only temperatures at or above the liquid's triple point, it is our hope that the overdamped theory can ultimately be used to characterize the dynamics of supercooled liquids. This will certainly require going beyond the one loop approximation.
Kinetic Theory
Author: George Kyzas
language: en
Publisher: BoD – Books on Demand
Release Date: 2018-02-14
The world is governed by motions. The term kinetics partially originated from the Greek word "kinisis," which means motion. How important is motion in our life is easily understood. But, how the kinetic theories have been developed during years? Which are the new kinetic theories and updates in recent years? This question and many others can be answered with this book. Some important areas discussed in this book are the kinetic theory of gases, kinetic theory of liquids and vapors, thermodynamic aspects, transportation phenomena, adsorption-kinetic theories, linear and nonlinear kinetic equations, quantum kinetic theory, kinetic theory of nucleation, plasma kinetic theory, and relativistic kinetic theory.
Kinetic Theory of Gases and Plasmas
Author: PPJM Schram
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Kinetic theory is the link between the non--equilibrium statistical mechanics of many particle systems and macroscopic or phenomenological physics. Therefore much attention is paid in this book both to the derivation of kinetic equations with their limitations and generalizations on the one hand, and to the use of kinetic theory for the description of physical phenomena and the calculation of transport coefficients on the other hand. The book is meant for researchers in the field, graduate students and advanced undergraduate students. At the end of each chapter a section of exercises is added not only for the purpose of providing the reader with the opportunity to test his understanding of the theory and his ability to apply it, but also to complete the chapter with relevant additions and examples that otherwise would have overburdened the main text of the preceding sections. The author is indebted to the physicists who taught him Statistical Mechanics, Kinetic Theory, Plasma Physics and Fluid Mechanics. I gratefully acknowledge the fact that much of the inspiration without which this book would not have been possible, originated from what I learned from several outstanding teachers. In particular I want to mention the late Prof. dr. H. C. Brinkman, who directed my first steps in the field of theoretical plasma physics, my thesis advisor Prof. dr. N. G. Van Kampen and Prof. dr. A. N. Kaufman, whose course on Non-Equilibrium Statistical Mechanics in Berkeley I remember with delight.