Fluctuation Theorems under Divergent Entropy Production and their Applications for Fundamental Problems in Statistical Physics, Murashita Yыto
Автор: Lemons Название: A Student`s Guide to Entropy ISBN: 1107653975 ISBN-13(EAN): 9781107653979 Издательство: Cambridge Academ Рейтинг: Цена: 4118.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy, and is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics. Nearly 50 end-of-chapter exercises test readers` understanding.
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.
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: Sethna, James P. (cornell University) Название: Statistical mechanics: entropy, order parameters, and complexity ISBN: 0198865252 ISBN-13(EAN): 9780198865254 Издательство: Oxford Academ Рейтинг: Цена: 6018.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.
Автор: Sethna, James P. (cornell University) Название: Statistical mechanics: entropy, order parameters, and complexity ISBN: 0198865244 ISBN-13(EAN): 9780198865247 Издательство: Oxford Academ Рейтинг: Цена: 11405.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.
Автор: Goodstein Название: Thermal Physics ISBN: 1107080118 ISBN-13(EAN): 9781107080119 Издательство: Cambridge Academ Рейтинг: Цена: 8237.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by distinguished physics educator David Goodstein, this fresh introduction to thermodynamics, statistical mechanics, and the study of matter is ideal for undergraduate courses. Favoring intuitive descriptions over mathematical derivations, the textbook uses numerous problems and worked examples to help readers get to grips with the subject.
Автор: Goodstein Название: Thermal Physics ISBN: 1107465494 ISBN-13(EAN): 9781107465497 Издательство: Cambridge Academ Рейтинг: Цена: 4118.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by distinguished physics educator David Goodstein, this fresh introduction to thermodynamics, statistical mechanics, and the study of matter is ideal for undergraduate courses. Favoring intuitive descriptions over mathematical derivations, the textbook uses numerous problems and worked examples to help readers get to grips with the subject.
Автор: Lemons Название: A Student`s Guide to Entropy ISBN: 1107011566 ISBN-13(EAN): 9781107011564 Издательство: Cambridge Academ Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy, and is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics. Nearly 50 end-of-chapter exercises test readers` understanding.
Автор: Shore, Graham Название: C and a-theorems and the local renormalisation group ISBN: 331953999X ISBN-13(EAN): 9783319539997 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG).
The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail.
A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented.
Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT.
Автор: Brenig Название: Nonequilibrium Thermodynamics and Fluctuation Kinetics ISBN: 3031044576 ISBN-13(EAN): 9783031044571 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book addresses research challenges in the rapidly developing area of nonequilibrium thermodynamics and fluctuation kinetics. This cross-disciplinary field comprises various topics, ranging from fundamental problems of nonequilibrium statistical mechanics and thermodynamics to multiple applications in plasma, fluid mechanics, nonlinear science, systems of dissipative particles, and high-Q resonators. The purpose of this book is to bring together world-leading experts in the above fields to initiate a cross-fertilization among these active research areas. The book is dedicated to and honours the memory of Professor Slava Belyi who passed away unexpectedly on May 20, 2020. He was pioneering the theory of nonequilibrium fluctuations, in particular the application of the Callen-Welton fluctuation-dissipation theorem to nonequilibrium systems and its generalization. This and related problems also feature in the book.
Автор: Kiyoshi Kanazawa Название: Statistical Mechanics for Athermal Fluctuation ISBN: 9811063303 ISBN-13(EAN): 9789811063305 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
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