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Statistical Mechanics, Kinetic theory, and Stochastic Processes

Statistical Mechanics, Kinetic theory, and Stochastic Processes PDF Author: C.V. Heer
Publisher: Elsevier
ISBN: 0323144411
Category : Science
Languages : en
Pages : 618

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Book Description
Statistical Mechanics, Kinetic Theory, and Stochastic Processes presents the statistical aspects of physics as a "living and dynamic" subject. In order to provide an elementary introduction to kinetic theory, physical systems in which particle-particle interaction can be neglected are considered. Transport phenomena in the free-molecular flow region for gases and the transport of thermal radiation are discussed. Discrete random processes such as random walk, binomial and Poisson distributions, and throwing of dice are studied by means of the characteristic function. Comprised of 11 chapters, this book begins with an introduction to the mass point gas as well as some elementary properties of space and velocity distributions. The discussion then turns to radiation and its interaction with an atom; probability, statistics, and conditional probability; intermolecular interactions; transport phenomena; and statistical thermodynamics. Molecular systems at low densities are also considered, together with non-ideal and real gases; liquids and solids; and stochastic processes, noise, and fluctuations. In particular, the response of atoms and molecules to perturbations and scattering by crystals, liquids, and high-pressure gases are examined. This monograph will be useful for undergraduate students, practitioners, and researchers in physics.

Statistical Mechanics,kinetic Theory,and Stochastic Processes

Statistical Mechanics,kinetic Theory,and Stochastic Processes PDF Author: Clifford V. Heer
Publisher:
ISBN:
Category :
Languages : en
Pages :

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STATISTICAL MECHANICS KINETIC THEORY AND STOCHASTIC PROCESSES.

STATISTICAL MECHANICS KINETIC THEORY AND STOCHASTIC PROCESSES. PDF Author: CV. HEER
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Statistical Mechanics for Athermal Fluctuation

Statistical Mechanics for Athermal Fluctuation PDF Author: Kiyoshi Kanazawa
Publisher: Springer
ISBN: 981106332X
Category : Science
Languages : en
Pages : 222

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Book Description
The author investigates athermal fluctuation from the viewpoints of statistical mechanics in this thesis. Stochastic methods are theoretically very powerful in describing fluctuation of thermodynamic quantities in small systems on the level of a single trajectory and have been recently developed on the basis of stochastic thermodynamics. This thesis proposes, for the first time, a systematic framework to describe athermal fluctuation, developing stochastic thermodynamics for non-Gaussian processes, while thermal fluctuations are mainly addressed from the viewpoint of Gaussian stochastic processes in most of the conventional studies. First, the book provides an elementary introduction to the stochastic processes and stochastic thermodynamics. The author derives a Langevin-like equation with non-Gaussian noise as a minimal stochastic model for athermal systems, and its analytical solution by developing systematic expansions is shown as the main result. Furthermore, the a uthor shows a thermodynamic framework for such non-Gaussian fluctuations, and studies some thermodynamics phenomena, i.e. heat conduction and energy pumping, which shows distinct characteristics from conventional thermodynamics. The theory introduced in the book would be a systematic foundation to describe dynamics of athermal fluctuation quantitatively and to analyze their thermodynamic properties on the basis of stochastic methods.

Entropy of Complex Processes and Systems

Entropy of Complex Processes and Systems PDF Author: Eugene Barsky
Publisher: Elsevier
ISBN: 0128225394
Category : Science
Languages : en
Pages : 308

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Book Description
Entropy of Complex Processes and Systems formalizes our understanding of many complex processes, including the development of the methodology of analytical computation of complex processes as applied in many industries, such as ore processing, or more generally, in areas of natural sciences. The adequacy of the results of these calculations is confirmed by numerous experimental data obtained both on pilots and industrial facilities. The book also provides a thorough analysis of the underlying physical foundations of entropy performed from new standpoints that are of interest to theoreticians studying contemporary expositions. Provides methodologies for controlling and optimizing complex processes in branches of industry that involve transformation of materials or substances Describes entropy as the universal characteristic of a stochastic process independent of the system Introduces a new definition of entropy specifically related to dynamical phenomena

Gibbs' Entropic Paradox and Problems of Separation Processes

Gibbs' Entropic Paradox and Problems of Separation Processes PDF Author: Eugene Barsky
Publisher: Elsevier
ISBN: 0444639209
Category : Technology & Engineering
Languages : en
Pages : 202

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Book Description
Gibbs' Entropic Paradox and Problems of Separation Processes reviews the so-called Gibb’s Paradox observed during the mixing of two systems. During the last 150 years, many physicists and specialists in thermodynamics, statistical and quantum mechanics been engaged in the solution of the Gibbs paradox. Many books and journal articles have written on this topic, but a widely accepted answer is still lacking. In this book, the author reviews and analyzes all this data. Based on findings, the book formulates a different approach to this paradox and substantiates it on the basis of physical and statistical principles. The book clearly shows that entropy consists of two parts, static and dynamic. Up to now, entropy has been connected only with the process dynamics. However, the Gibbs paradox is caused by the change in the static component of entropy. Finally, the book includes examples of separation processes and how to optimize them in various fields, including biology, cosmology, crystallography and the social sciences. Provides a precise definition of entropy and allows the formulation of criteria for optimization of separation processes Explains the role of entropy in many processes, facilitating an in-depth analysis and understanding of complicated systems and processes Provides solutions to scientific and applied problems in various scientific disciplines related to separation processes Elucidates entropy’s role in many separation systems

Quantum Theory of Conducting Matter

Quantum Theory of Conducting Matter PDF Author: Shigeji Fujita
Publisher: Springer Science & Business Media
ISBN: 9780387882116
Category : Science
Languages : en
Pages : 298

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Book Description
Major superconducting properties including zero resistance, Meissner effect, sharp phase change, flux quantization, excitation energy gap, Josephson effects are covered and microscopically explained, using quantum statistical mechanical calculations. First treated are the 2D superconductivity and then the quantum Hall effects. Included are exercise-type problems for each section. Readers can grasp the concepts covered in the book by following the worked-through problems. Bibliographies are included in each chapter and a glossary and list of symbols are given in the beginning of the book. The book is based on the materials taught by S. Fujita for several courses in Quantum Theory of Solids, Advanced Topics in Modern Physics, and Quantum Statistical Mechanics.

Kinetic Theory

Kinetic Theory PDF Author: S. G. Brush
Publisher: Elsevier
ISBN: 1483145859
Category : Science
Languages : en
Pages : 294

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Book Description
Kinetic Theory, Volume 3: The Chapman-Enskog Solution of the Transport Equation for Moderately Dense Gases describes the Chapman-Enskog solution of the transport equation for moderately dense gases. Topics covered range from the propagation of sound in monatomic gases to the kinetic theory of simple and composite monatomic gases and generalizations of the theory to higher densities. The application of kinetic theory to the determination of intermolecular forces is also discussed. This volume is divided into two sections and begins with an introduction to the work of Hilbert, Chapman, and Enskog that led to the formulation of the Chapman-Enskog theory. The Chapman-Enskog results are then compared with those of earlier theories with respect to viscosity, heat conduction, diffusion, and thermal diffusion. Subsequent chapters focus on alternatives to the Chapman-Enskog method and some mathematical problems; foundations of the kinetic theory of gases; and kinetic theory of processes in dilute gases and of heat conduction, viscosity, and self-diffusion in compressed gases and liquids. This book should be of interest to graduate students and others undertaking research in kinetic theory.

Stochastic Processes and Filtering Theory

Stochastic Processes and Filtering Theory PDF Author: Andrew H. Jazwinski
Publisher: Courier Corporation
ISBN: 0486462749
Category : Science
Languages : en
Pages : 376

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Book Description
This unified treatment presents material previously available only in journals, and in terms accessible to engineering students. Although theory is emphasized, it discusses numerous practical applications as well. 1970 edition.

Theory of High Temperature Superconductivity

Theory of High Temperature Superconductivity PDF Author: S. Fujita
Publisher: Springer Science & Business Media
ISBN: 0306482169
Category : Science
Languages : en
Pages : 374

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Book Description
Flux quantization experiments indicate that the carriers, Cooper pairs (pairons), in the supercurrent have charge magnitude 2e, and that they move independently. Josephson interference in a Superconducting Quantum Int- ference Device (SQUID) shows that the centers of masses (CM) of pairons move as bosons with a linear dispersion relation. Based on this evidence we develop a theory of superconductivity in conventional and mate- als from a unified point of view. Following Bardeen, Cooper and Schrieffer (BCS) we regard the phonon exchange attraction as the cause of superc- ductivity. For cuprate superconductors, however, we take account of both optical- and acoustic-phonon exchange. BCS started with a Hamiltonian containing “electron” and “hole” kinetic energies and a pairing interaction with the phonon variables eliminated. These “electrons” and “holes” were introduced formally in terms of a free-electron model, which we consider unsatisfactory. We define “electrons” and “holes” in terms of the cur- tures of the Fermi surface. “Electrons” (1) and “holes” (2) are different and so they are assigned with different effective masses: Blatt, Schafroth and Butler proposed to explain superconductivity in terms of a Bose-Einstein Condensation (BEC) of electron pairs, each having mass M and a size. The system of free massive bosons, having a quadratic dispersion relation: and moving in three dimensions (3D) undergoes a BEC transition at where is the pair density.