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.


The Langevin Equation

The Langevin Equation

Author: William Coffey

Publisher: World Scientific

Published: 1996

Total Pages: 436

ISBN-13: 9789810216511

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The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation ? Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem ? Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes.As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint ? Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) ? together with modern applications particularly to relaxation in ferrofluids and polar dielectrics.


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.


Virtual Synthesis of Nanosystems by Design

Virtual Synthesis of Nanosystems by Design

Author: Liudmila Pozhar

Publisher: Elsevier

Published: 2015-02-20

Total Pages: 383

ISBN-13: 0123972892

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This is the only book on a novel fundamental method that uses quantum many body theoretical approach to synthesis of nanomaterials by design. This approach allows the first-principle prediction of transport properties of strongly spatially non-uniform systems, such as small QDs and molecules, where currently used DFT-based methods either fail, or have to use empirical parameters. The book discusses modified algorithms that allow mimicking experimental synthesis of novel nanomaterials---to compare the results with the theoretical predictions--and provides already developed electronic templates of sub-nanoscale systems and molecules that can be used as components of larger materials/fluidic systems. - The only publication on quantum many body theoretical approach to synthesis of nano- and sub-nanoscale systems by design. - Novel and existing many-body field theoretical, computational methods are developed and used to realize the theoretical predictions for materials for IR sensors, light sources, information storage and processing, electronics, light harvesting, etc. Novel algorithms for EMD and NEMD molecular simulations of the materials' synthesis processes and charge-spin transport in synthesized systems are developed and described. - Includes the first ever models of Ni-O quantum wires supported by existing experimental data. - All-inclusive analysis of existing experimental data versus the obtained theoretical predictions and nanomaterials templates.


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.


Advances in Chemical Physics

Advances in Chemical Physics

Author: Ilya Prigogine

Publisher: John Wiley & Sons

Published: 2009-09-09

Total Pages: 438

ISBN-13: 0470142286

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Coverage includes five chapters entitled Criticality of Ionic Fluids; Mode Coupling Theory Approach to Liquid State Dynamics; Anomalous Stochastic Processes in the Fractional Dynamics Framework: Fokker-Planck; Moment Free Energies for Polydisperse Systems; and Chemical Physics of the Electrode-Electrolyte Interface.


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.