Thermal Fluctuations And Relaxation Processes In Nanomagnets
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A01=Sergei V Titov
A01=William T Coffey
A01=Yuri P Kalmykov
Antiferromagnetics
Author_Sergei V Titov
Author_William T Coffey
Author_Yuri P Kalmykov
Category=PHS
Coherent State
Debye Relaxation
Dynamic Magnetic Hysteresis
Dynamic Susceptibility
Energy-Controlled Diffusion
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Ferrofluids
Ferromagnetic Resonance Frequency
Fokker-Planck Equation
FokkerAcAEURA"Planck Equation
Fokker–Planck Equation
Kramers' Escape Rate
Landau-Lifshitz Equation
LandauAcAEURA"Lifshitz Equation
Landau–Lifshitz Equation
Langevin Equation
Magnetic Nanoparticles
Magnetization Dynamics
Magnetization Relaxation Time
Magnetization Reversal
Magnetocrystalline Anisotropy
Mean First Passage Time
Method of Statistical Moments
Multiwell Potential
NAfA(C)elAcAEURA"Brown Model
Nanomagnets
Neel-Brown Model
Néel–Brown Model
Phase-Space Method
Quantum Mechanics of Spins
Quasi-Probability Distributions
Reaction Rate Theory
Representation Space
Rotational Brownian Motion
Single Domain Nanoparticles
Spin Dynamics
Spin Relaxation
Spin-Transfer Torque
Spintronics
Stochastic Motion of Magnetization
Stochastic Resonance
Stoner-Wolhfarth Astroid
StonerAcAEURA"Wolhfarth Astroid
Stoner–Wolhfarth Astroid
Switching Field Curve
Thermal Fluctuations
Transition Rate Theory
Weyl Symbols
Wigner Function
Product details
- ISBN 9789811217272
- Publication Date: 21 Aug 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
