Fluctuating Nonlinear Oscillators

Download or read book Fluctuating Nonlinear Oscillators written by Mark Dykman and published by Oxford University Press. This book was released on 2012-07-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a unifying insight into a broad range of phenomena displayed by vibrational systems of current interest. The chapters complement each other to give an account of the major fundamental results and applications in quantum information, condensed matter physics, and engineering.

Download or read book Psychology of Time written by Simon Grondin and published by Emerald Group Publishing. This book was released on 2008-11-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in the field of timing and time perception have multiplied the number of relevant questions regarding psychological time, and helped to provide answers and open many avenues of thought. This book brings together presentations of many of the main ideas, findings, hypotheses and theories that experimental psychology offers to the field.

Download or read book Thermal Fluctuations And Relaxation Processes In Nanomagnets written by William T Coffey and published by World Scientific. This book was released on 2020-05-21 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Quantum Machines written by Michel H. Devoret and published by Oxford University Press, USA. This book was released on 2014 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a quantum machine? Can we say that lasers and transistors are quantum machines? After all, physicists advertise these devices as the two main spin-offs of the understanding of quantum physics. In a true quantum machine, the signal collective variables must themselves be treated as quantum operators. Other engineered quantum systems based on natural, rather than artificial, degrees of freedom can also qualify as quantum machines. This book provides the basic knowledge needed to understand and investigate the physics of these novel systems.

Download or read book Langevin Equation, The: With Applications To Stochastic Problems In Physics, Chemistry And Electrical Engineering (Fourth Edition) written by William T Coffey and published by World Scientific. This book was released on 2017-03-22 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our original objective in writing this book was to demonstrate how the concept of the equation of motion of a Brownian particle — the Langevin equation or Newtonian-like evolution equation of the random phase space variables describing the motion — first formulated by Langevin in 1908 — so making him inter alia the founder of the subject of stochastic differential equations, may be extended to solve the nonlinear problems arising from the Brownian motion in a potential. Such problems appear under various guises in many diverse applications in physics, chemistry, biology, electrical engineering, etc. However, they have been invariably treated (following the original approach of Einstein and Smoluchowski) via the Fokker-Planck equation for the evolution of the probability density function in phase space. Thus the more simple direct dynamical approach of Langevin which we use and extend here, has been virtually ignored as far as the Brownian motion in a potential is concerned. In addition two other considerations have driven us to write this new edition of The Langevin Equation. First, more than five years have elapsed since the publication of the third edition and following many suggestions and comments of our colleagues and other interested readers, it became increasingly evident to us that the book should be revised in order to give a better presentation of the contents. In particular, several chapters appearing in the third edition have been rewritten so as to provide a more direct appeal to the particular community involved and at the same time to emphasize via a synergetic approach how seemingly unrelated physical problems all involving random noise may be described using virtually identical mathematical methods. Secondly, in that period many new and exciting developments have occurred in the application of the Langevin equation to Brownian motion. Consequently, in order to accommodate all these, a very large amount of new material has been added so as to present a comprehensive overview of the subject.

Download or read book Computational Neuroscience written by James M. Bower and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes papers presented at the Sixth Annual Computational Neurosci ence meeting (CNS*97) held in Big Sky, Montana, July 6-10, 1997. This collection includes 103 of the 196 papers presented at the meeting. Acceptance for meeting presentation was based on the peer review of preliminary papers originally submitted in January of 1997. The papers in this volume represent final versions of this work submitted in January of 1998. Taken together they provide a cross section of computational neuroscience and represent well the continued vitality and growth of this field. The meeting in Montana was unusual in several respects. First, to our knowledge it was the first international scientific meeting with opening ceremonies on horseback. Second, after five days of rigorous scientific discussion and debate, meeting participants were able to resolve all remaining conflicts in barrel race competitions. Otherwise the magnificence of Montana and the Big Sky Ski Resort assured that the meeting will not soon be forgotten. Scientifically, this volume once again represents the remarkable breadth of subjects that can be approached with computational tools. This volume and the continuing CNS meet ings make it clear that there is almost no subject or area of modem neuroscience research that is not appropriate for computational studies.

Download or read book The Nonequilibrium Statistical Mechanics of Open and Closed Systems written by Katja Lindenberg and published by Wiley-VCH. This book was released on 1990 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first unified treatment of the properties of thermodynamically open and closed systems. It provides the theory and methodology that are necessary to understand nonlinear processes. The section on Classical Systems covers topics ranging from the evolution of probability to open and closed systems and non-Hamiltonian systems. The concluding section on Quantum Systems is equally detailed, treating the evolution of quantum systems, c-number fluctuations and operator fluctuations. The material covered is applicable to weather systems, ocean currents, dye lasers and many other nonequilibrium systems. The text is also suitable for students in graduate course. Numerous physical chemical examples facilitate self-study.