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Books in Nonlinear statistical and applied physics

  • Thermodynamic Approaches in Engineering Systems

    • 1st Edition
    • May 20, 2016
    • Stanislaw Sieniutycz
    • English
    Thermodynamic Approaches in Engineering Systems responds to the need for a synthesizing volume that throws light upon the extensive field of thermodynamics from a chemical engineering perspective that applies basic ideas and key results from the field to chemical engineering problems. This book outlines and interprets the most valuable achievements in applied non-equilibrium thermodynamics obtained within the recent fifty years. It synthesizes nontrivial achievements of thermodynamics in important branches of chemical and biochemical engineering. Readers will gain an update on what has been achieved, what new research problems could be stated, and what kind of further studies should be developed within specialized research.

  • Fundamental Problems in Statistical Mechanics, VIII

    Proceedings of the Eighth International Summer School on Fundamental Problems in Statistical Mechanics, Altenberg, Germany, 28 June - 10 July, 1993
    • 1st Edition
    • April 20, 2016
    • H. Van Beijeren
    • English
    In keeping with the tradition of previous summer schools on fundamental problems in statistical mechanics, this book contains in depth treatemnts of topics of current interest in statistical mechanics and closely related fields. The topics covered include: dynamical impurity problems, quantum phase transitions, vortex liquids and glasses, quasicrystals and related aperiodic structures, pattern formation, turbulence, exactly solvable models, polymers, phase transitions in colloids, interfaces and two-dimensional gravity.

  • Classical Transport Theory

    • 1st Edition
    • Volume 1
    • April 19, 2016
    • R. Balescu
    • English
    Transport Processes in Plasmas, Vol. 1: Classical Transport Theory focuses on problems on the transport of matter, pressure and velocity gradients combined with external electric, magnetic fields, and momentum and energy in a plasma submitted to temperature. The publication first ponders on the motion of a charged particle in an electromagnetic field and microscopic description of a plasma. Discussions focus on Liouville equation for independent particles in stationary external fields, Landau kinetic equation, conservation properties of the collision term, motion of a charged particle in simple electromagnetic fields, drift approximation, and Hamiltonian mechanics. The text then examines the macroscopic description of a plasma and Hermitian moment representation. Topics include local plasma equilibrium state, classification of the moments, local distribution functions, macroscopic quantities of a plasma, equations of evolution of the macroscopic quantities, and entropy balance. The manuscript reviews magnetohydrodynamics... entropy and transport, and classical transport theory. Concerns include linear transport regime, classical transport coefficients, entropy and Hermitian moments, transport form of the entropy production, and resistive magnetohydrodynamics... The book is a valuable source of data for researchers interested in the classical transport theory.

  • External Magnetic Field Effects on Hydrothermal Treatment of Nanofluid

    Numerical and Analytical Studies
    • 1st Edition
    • March 1, 2016
    • Mohsen Sheikholeslami + 1 more
    • English
    This book seeks to comprehensively cover recent progress in computational fluid dynamics and nonlinear science and its applications to MHD and FHD nanofluid flow and heat transfer. The book will be a valuable reference source to researchers in various fields, including materials science, nanotechnology, mathematics, physics, information science, engineering and medicine, seeing to understand the impact of external magnetic fields on the hydrothermal behavior of nanofluids in order to solve a wide variety of theoretical and practical problems.

  • Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B

    • 1st Edition
    • Volume 72
    • January 14, 2016
    • English
    Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B, presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology.

  • Mathematical Modeling in Diffraction Theory

    Based on A Priori Information on the Analytical Properties of the Solution
    • 1st Edition
    • September 19, 2015
    • Alexander G. Kyurkchan + 1 more
    • English
    Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy, biophysics, geophysics, and astrophysics. This book provides a coherent discussion of several advanced topics that have the potential to push forward progress in this field. It begins with examples illustrating the importance of taking a priori information into account when developing algorithms for solving diffraction problems, with subsequent chapters discussing the basic analytical representations of wave fields, the auxiliary current and source methods for solving the problems of diffraction at compact scatterers, the null field and matrix methods that are widely used to solve problems in radio-physics, radio-astronomy, and biophysics, and the continued boundary condition and pattern equation method.

  • Derivative with a New Parameter

    Theory, Methods and Applications
    • 1st Edition
    • September 10, 2015
    • Abdon Atangana
    • English
    Derivative with a New Parameter: Theory, Methods and Applications discusses the first application of the local derivative that was done by Newton for general physics, and later for other areas of the sciences. The book starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. Subsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases. The book gives an introduction to the newly-established local derivative with new parameters, along with their integral transforms and applications, also including great examples on how it can be used in epidemiology and groundwater studies.

  • Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes

    Numerical Solutions
    • 1st Edition
    • September 8, 2015
    • Kuppalapalle Vajravelu + 1 more
    • English
    Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical solutions are available only for some special cases. For other cases, one has no easy means but to solve the problem must depend on numerical solutions. Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering.

  • Thermal Physics

    Thermodynamics and Statistical Mechanics for Scientists and Engineers
    • 1st Edition
    • August 19, 2015
    • Robert Floyd Sekerka
    • English
    In Thermal Physics: Thermodynamics and Statistical Mechanics for Scientists and Engineers, the fundamental laws of thermodynamics are stated precisely as postulates and subsequently connected to historical context and developed mathematically. These laws are applied systematically to topics such as phase equilibria, chemical reactions, external forces, fluid-fluid surfaces and interfaces, and anisotropic crystal-fluid interfaces. Statistical mechanics is presented in the context of information theory to quantify entropy, followed by development of the most important ensembles: microcanonical, canonical, and grand canonical. A unified treatment of ideal classical, Fermi, and Bose gases is presented, including Bose condensation, degenerate Fermi gases, and classical gases with internal structure. Additional topics include paramagnetism, adsorption on dilute sites, point defects in crystals, thermal aspects of intrinsic and extrinsic semiconductors, density matrix formalism, the Ising model, and an introduction to Monte Carlo simulation. Throughout the book, problems are posed and solved to illustrate specific results and problem-solving techniques.

  • Quantum Chaos

    • 1st Edition
    • Volume 119
    • August 11, 2015
    • G. Casati + 2 more
    • English
    The study of quantum systems which are chaotic in the classical limit (quantum chaos or quantum chaology) is a very new field of research. Not long ago, it was still considered as an esoteric subject, however this attitude changed radically when it was realized that this subject is relevant to many of the more mature branches of physics.This book presents the accumulated knowledge available up until now and at the same time introduces topics which are being intensively studied at present. Their relevance to other fields such as condensed matter, atomic and nuclear physics is also discussed. The lectures have been divided into two rough categories - background and advanced lectures.

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