Transport Theory Of Inhomogeneous Fluids
Transport Theory Of Inhomogeneous Fluids

Author: Liudmila A Pozhar

Publisher: World Scientific

Published: 1995-01-16

Total Pages: 186

ISBN-13: 9814590851

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Until recently, the Mori-Zwanzig projection operator method, though powerful and simple, has been considered as a half-heuristic one. This book is devoted to a rigorous generalization of this method as well as its applications to nonequilibrium statistical mechanics. The well-known idea of the description of dynamical system evolution in terms of collective dynamical variables has been developed to a functional perturbation theory, which results in the master equation of any given accuracy. Examples of statistical mechanics applications of the method include a linearized transport theory and explicit expressions for transport coefficients of both homogeneous and inhomogeneous liquids, which are in good agreement with experimental data and simulation results.

Fundamentals of Inhomogeneous Fluids
Fundamentals of Inhomogeneous Fluids

Author: Douglas Henderson

Publisher: CRC Press

Published: 2021-12-17

Total Pages: 624

ISBN-13: 1000148041

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A monograph examining recent progress in the field of inhomogeneous fluids, focusing on the theoretical - as well as experimental - techniques used. It presents the comprehensive theory of first-order phase transitions, including melting, and contains numerous figures, tables and display equations.;The contributors treat such subjects as: exact sum rules for inhomogenous fluids, explaining density functional and integral equation methods; exact solutions for two-dimensional homogeneous and inhomogeneous plasmas; current advances in the theory of interfacial electrochemistry; wetting experiments and the theory of wetting; freezing, with an emphasis on quantum systems and homogeneous nucleation in liquid-vapour and solid-liquid transitions; self-organizing liquids as well as kinetic phenomena in inhomogeneous fluids, using a modified Enskog theory.;Featuring over 1000 bibliographic citations, this volume is aimed at physical, surface, colloid and surfactant chemists; also physicists, electrochemists and graduate-level students in these disciplines.

Transport Coefficients of Fluids
Transport Coefficients of Fluids

Author: Byung Chan Eu

Publisher: Springer Science & Business Media

Published: 2006-09-08

Total Pages: 408

ISBN-13: 3540282165

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In this monograph, the density ?uctuation theory of transport coe?cients of simple and complex liquids is described together with the kinetic theory of liquids, the generic van der Waals equation of state, and the modi?ed free volume theory. The latter two theories are integral parts of the density ?- tuation theory, which enables us to calculate the density and temperature dependence of transport coe?cients of liquids from intermolecular forces. The terms nanoscience and bioscience are the catch phrases currently in fashion in science. It seems that much of the fundamentals remaining unsolved or poorly understood in the science of condensed matter has been overshadowed by the frenzy over the more glamorous disciplines of the former, shunned by novices, and are on the verge of being forgotten. The transport coe?cients of liquids and gases and related thermophysical properties of matter appear to be one such area in the science of macroscopic properties of molecular systems and statisticalmechanicsofcondensedmatter. Evennano-andbiomaterials,h- ever, cannot be fully and appropriately understood without ?rm grounding and foundations in the macroscopic and molecular theories of transport pr- ertiesandrelatedthermophysicalpropertiesofmatterinthecondensedphase. Oneisstilldealingwithsystemsmadeupofnotafewparticlesbutamultitude of them, often too many to count, to call them few-body problems that can be understoodwithoutthehelpofstatisticalmechanicsandmacroscopicphysics. In the density ?uctuation theory of transport coe?cients, the basic approach taken is quite di?erent from the approaches taken in the conventional kinetic theories of gases and liquids.

Ceramic Nanomaterials and Nanotechnology
Ceramic Nanomaterials and Nanotechnology

Author: Michael Z. Hu

Publisher: John Wiley & Sons

Published: 2012-04-11

Total Pages: 307

ISBN-13: 111840579X

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This proceedings contains 21 papers from the Nanostructured Materials and Nanotechnology symposium held during the 104th Annual Meeting of The American Ceramic Society, April 28-May 1, 2003, St. Louis, Missouri. 291 pages.

Theory of Inhomogeneous Fluids
Theory of Inhomogeneous Fluids

Author: Eric J. Krebs

Publisher:

Published: 2015

Total Pages: 99

ISBN-13:

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This dissertation reports on the computational physics research in the area of inhomogeneous fluids. I first discuss the theory background for this work beginning with water, which is important for the two published articles that are presented in this work (Chapters 5 and 6). Next, I give a brief overview of statistical associating fluid theory (SAFT), and discuss each free energy term and how it contributes to the SAFT free energy. I also give a short history of density functional theory (DFT) and discuss fundamental measure theory (FMT). I then present a classical DFT for water along with simulation and compar- isons with analytic data. Next, an improvement on the classical DFT for water is presented with a modified association free energy term. This improved DFT is compared to the previous theory and displays an overall improvement. I present a soft sphere fluid theory based on soft fundamental measure theory with a Weeks-Chandler-Anderson (WCA) pair potential. I show that the results ofthis theory are as good as a Barker-Henderson hard sphere fluid for low densities and a range of temperatures. I then derive the potential for a soft wall composed of WCA particles which was used to test the soft fluid theory. Finally, I discuss a square well fluid theory that is currently incomplete. I present theory and up to our present work, display and discuss results, and mention possible problems.

Transport Theory
Transport Theory

Author: Richard Bellman

Publisher: American Mathematical Soc.

Published: 1969

Total Pages: 340

ISBN-13: 9780821813201

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The industrial and military applications of atomic energy have stimulated much mathematical research in neutron transport theory. The possibility of controlled thermonuclear processes has similarly focussed attention upon plasmas, sometimes called the "fourth state of matter". Independently, many classical aspects of kinetic theory and radiative transfer theory have been studied both because of their basic mathematical interest and of their physical applications to areas such as upper-atmosphere meteorology - introduction.

Theory of Simple Liquids
Theory of Simple Liquids

Author: Jean-Pierre Hansen

Publisher: Elsevier

Published: 1990-09-24

Total Pages: 569

ISBN-13: 0080571018

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This book gives a comprehensive and up-to-date treatment of the theory of "simple" liquids. The new second edition has been rearranged and considerably expanded to give a balanced account both of basic theory and of the advances of the past decade. It presents the main ideas of modern liquid state theory in a way that is both pedagogical and self-contained. The book should be accessible to graduate students and research workers, both experimentalists and theorists, who have a good background in elementary mechanics. - Compares theoretical deductions with experimental results - Molecular dynamics - Monte Carlo computations - Covers ionic, metallic, and molecular liquids

Advances in Multiphysics Simulation and Experimental Testing of MEMS
Advances in Multiphysics Simulation and Experimental Testing of MEMS

Author: Attilio Frangi

Publisher: World Scientific

Published: 2008

Total Pages: 504

ISBN-13: 1860948626

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This volume takes a much needed multiphysical approach to the numerical and experimental evaluation of the mechanical properties of MEMS and NEMS. The contributed chapters present many of the most recent developments in fields ranging from microfluids and damping to structural analysis, topology optimization and nanoscale simulations. The book responds to a growing need emerging in academia and industry to merge different areas of expertise towards a unified design and analysis of MEMS and NEMS.