Описание: This book investigates the common nature of granular and active systems, which is rooted in their intrinsic out-of-equilibrium behavior, with the aim of finding minimal models able to reproduce and predict the complex collective behavior observed in experiments and simulations.
Автор: Andrea Puglisi Название: Transport and Fluctuations in Granular Fluids ISBN: 3319102850 ISBN-13(EAN): 9783319102856 Издательство: Springer Рейтинг: Цена: 7182.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This brief offers a concise presentation of granular fluids from the point of view of non-equilibrium statistical physics.
Описание: This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on relativistic theories, it provides a comprehensive picture of the kinetic theory formulated from the viewpoint of nonequilibrium ensembles in both nonrelativistic and, in Vol. 2, relativistic contexts.Theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids) on the basis of irreversible kinetic equations satisfying the H theorem. They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. Both irreversible Boltzmann and generalized Boltzmann equations are used for deriving theories of irreversible transport equations and generalized hydrodynamic equations, which rigorously conform to the tenet. All observables described by the so-formulated theories therefore also strictly obey the tenet.
Описание: This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick.
Unlike the traditional approach to thermodynamics, this book begins with a brief exposition of hydrodynamics. At this stage, the development is limited to potential flows, because, until recently, that is all that could be done, but also for didactic reasons. However, the reader will find that the situation has changed radically with the discovery of Conservative Hydrodynamics.
At the core of thermodynamics is the Gibbsean minimum energy principle. In this book, it is generalized to include the hydrodynamical degrees of freedom; that is, localized as a field theory of density, pressure, temperature and entropy. The theory is referred to as local thermodynamics, as opposed to traditional, global thermodynamics where the main foundation is the variational principle of Gibbs, with a modification recommended by Prigogine.
This book exists because there is (or was) no satisfactory theory of the dynamical metric interacting with extended distributions of matter. It will be shown that any theory of interacting fields that includes the Einsteinian metric must be based on an action principle.
This allows us, for the first time, to use "energy" as a precise concept in vortex dynamics. Sample applications include rotating planets, Couette flow, stresses in fluids (inside the meniscus, negative pressures), immiscible fluids, amongst others.
Автор: Anita Mehta Название: Granular Matter ISBN: 1461287251 ISBN-13(EAN): 9781461287254 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Powders have been studied extensively because they arise in a wide variety of fields, ranging from soil mechanics to manufacture of pharmaceuticals.
Автор: Coffey William T, Kalmykov Yuri P, Titov Sergei V Название: Thermal Fluctuations And Relaxation Processes In Nanomagnets ISBN: 9811217270 ISBN-13(EAN): 9789811217272 Издательство: World Scientific Publishing Рейтинг: Цена: 27720.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presenting in a coherent and accessible fashion current results in nanomagnetism, this book constitutes a comprehensive, rigorous and readable account, from first principles of the classical and quantum theories underlying the dynamics of magnetic nanoparticles subject to thermal fluctuations.Starting with the Larmor-like equation for a giant spin, both the stochastic (Langevin) equation of motion of the magnetization and the associated evolution (Fokker-Planck) equation for the distribution function of the magnetization orientations of ferromagnetic nanoparticles (classical spins) in a heat bath are developed along with their solution (using angular momentum theory) for arbitrary magnetocrystalline-Zeeman energy. Thus, observables such as the magnetization reversal time, relaxation functions, dynamic susceptibilities, etc. are calculated and compared with the predictions of classical escape rate theory including in the most general case spin-torque-transfer. Regarding quantum effects, which are based on the reduced spin density matrix evolution equation in Hilbert space as is described at length, they are comprehensively treated via the Wigner-Stratonovich formulation of the quantum mechanics of spins via their orientational quasi-probability distributions on a classically meaningful representation space. Here, as suggested by the relevant Weyl symbols, the latter is the configuration space of the polar angles. Hence, one is led, by mapping the reduced density matrix equation onto that space, to a master equation for the quasi-probability evolution akin to the Fokker-Planck equation which may be solved in a similar way. Thus, one may study in a classical-like manner the evolution of observables with spin number ranging from an elementary spin to molecular clusters to the classical limit, viz. a nanoparticle. The entire discussion hinges on the one-to-one correspondence between polarization operators in Hilbert space and the spherical harmonics allied to concepts of spin coherent states long familiar in quantum optics.Catering for the reader with only a passing knowledge of statistical and quantum mechanics, the book serves as an introductory text on a complicated subject where the literature is remarkably sparse.
Автор: Gianfranco Capriz; A. Barrat; Pasquale Giovine; A. Название: Mathematical Models of Granular Matter ISBN: 3540782761 ISBN-13(EAN): 9783540782766 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. This title features chapters that collect results on the analysis of the inelastic Boltzmann equations. It discusses Gallavotti-Cohen symmetry.
Автор: Brilliantov Nikolai V., Poschel Thorsten Название: Kinetic Theory of Granular Gases ISBN: 0199588139 ISBN-13(EAN): 9780199588138 Издательство: Oxford Academ Цена: 8395.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In contrast to molecular gases (for example, air), the particles of granular gases, such as a cloud of dust, lose part of their kinetic energy when they collide, giving rise to many exciting physical properties. The book provides a self-contained introduction to the theory of granular gases for advanced undergraduates and beginning graduates.
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