Sergei V Titov's Books

Thermal Fluctuations And Relaxation Processes In Nanomagnets

By: William T Coffey,Yuri P Kalmykov,Sergei V Titov

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Thermal Fluctuations And Relaxation Processes In Nanomagnets

By: William T Coffey,Yuri P Kalmykov,Sergei V Titov

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.

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709

Publisher

World Scientific

Published Date

ISBN 10

9811217297

ISBN 13

9789811217296

Low-Temperature Behaviour of Elastomers

By: Maya F. Bukhina,Mai︠a︡ Faddeevna Bukhina,Sergei K. Kurlyand

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Low-Temperature Behaviour of Elastomers

By: Maya F. Bukhina,Mai︠a︡ Faddeevna Bukhina,Sergei K. Kurlyand

This book focuses on the effect the composition of rubbers and the conditions of their processing have on low-temperature resistance. It considers the nature and development of two physical processes, glass transition and crystallization, determining low-temperature behavior of elastomers. The book addresses the effects of deformation, pressure, and temperature on these processes. It discusses the contribution of different factors in frost-resistance of elastomeric materials and articles and the possibility of increasing frost-resistance by optimization of composition and design.

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Page Count

197

Publisher

BRILL

Published Date

ISBN 10

9004157204

ISBN 13

9789004157200

Evolution Equations and Lagrangian Coordinates

By: Anvarbek M. Meirmanov,Vladislav V. Pukhnachov,Sergei I. Shmarev

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Evolution Equations and Lagrangian Coordinates

By: Anvarbek M. Meirmanov,Vladislav V. Pukhnachov,Sergei I. Shmarev

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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Page Count

329

Publisher

Walter de Gruyter

Published Date

ISBN 10

311087444X

ISBN 13

9783110874440

Thermal Fluctuations And Relaxation Processes In Nanomagnets

By: William T Coffey,Yuri P Kalmykov,Sergei V Titov

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Thermal Fluctuations And Relaxation Processes In Nanomagnets

By: William T Coffey,Yuri P Kalmykov,Sergei V Titov

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Write a review

Solve jigsaw puzzle

Age

Page Count

709

Publisher

World Scientific

Published Date

ISBN 10

9811217297

ISBN 13

9789811217296

Book's by Sergei V Titov

Thermal Fluctuations And Relaxation Processes In Nanomagnets

Thermal Fluctuations And Relaxation Processes In Nanomagnets

Low-Temperature Behaviour of Elastomers

Low-Temperature Behaviour of Elastomers

Evolution Equations and Lagrangian Coordinates

Evolution Equations and Lagrangian Coordinates

Thermal Fluctuations And Relaxation Processes In Nanomagnets

Thermal Fluctuations And Relaxation Processes In Nanomagnets

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