Download or read book Semiclassical Dynamics and Relaxation written by D.S.F. Crothers and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condensed-matter physics plays an ever increasing role in photonics, electronic and atomic collisions research. Dispersion (Dynamics and Relaxation) includes scattering/collisions in the gaseous phase. It also includes thermal agitation, tunneling and relaxation in the liquid and solid phases. Classical mechanics, classical statistical mechanics, classical relativity and quantum mechanics are all implicated. 'Semiclassical' essentially means that there is a large or asymptotic real parameter. 'Semiclassical' can also mean 'classical with first-order quantal correction', based on an exponentiated Liouville series commencing with a simple pole in the -plane, being Planck's reduced constant and coming with all the attendant connection problems associated with the singularity at the turning or transition point and with the Stokes phenomenon. Equally,' semiclassical' can mean 'electrons described quantally and the heavy particles classically'. This latter gives rise to the so-called impact parameter method based on a pre-assigned classical trajectory. With evermore sophisticated experiments, it has become equally more important to test theory over a wider range of parameters. For instance, at low impact energies in heavy-particle collisions, the inverse velocity is a large parameter; in single-domain ferromagnetism, thermal agitation (including Brownian motion and continuous-time random walks) is faced with a barrier of height 'sigma', a possibly large parameter. Methods of solution include phase-integral analysis, integral transforms and change-of-dependent variable. We shall consider the Schrödinger time-independent and time-dependent equations, the Dirac equation, the Fokker Planck equation, the Langevin equation and the equations of Einstein's classical general relativity equations. There is an increasing tendency among physicists to decry applied mathematics and theoretical physics in favour of computational blackboxes. One may say applied mathematics concerns hard sums and products (and their inverses) but unless one can simplify and sum infinite series of products of infinite series, can one believe the results of a computer program? The era of the polymath has passed; this book proposal aims to show the relevance to, and impact of theory on, laboratory scientists.

Download or read book Relaxation and Thermalization of Nonequilibrium Quantum Systems in the Semiclassical Limit written by Rafael Stockschneider Hipolito and published by . This book was released on 2012 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: We discuss the development and application of semiclassical techniques to study dynamics and relaxation in quantum mechanical systems out of equilibrium, relevant to ultracold atomic gases. Due to the unprecedented amount of control in these systems, experimentalists have a lot of freedom in designing Hamiltonians, including the spatial dimension. Another advantage present in these systems is the fact that time scales are slow enough, in contradistinction with usual condensed matter systems, so that it is possible to follow nonequilibrium dynamics and relaxation after quantum quenches. The advent of these experiments has motivated us to further understand these systems. With this goal in mind, we apply a semiclassical phase space technique called Truncated Wigner Approximation (TWA) to study dynamics in the weakly interacting, semiclassical limit. In our study, we will further confine ourselves to one dimensional systems where thermalization is poorly understood due to the fact that generic one dimensional Hamiltonians lie close to integrable models. Due to the peculiarity of systems in low dimensions, such as the prohibition of true long range order, these systems relax in an interesting way, and we generically find the emergence of long-lived metastable states. In particular, we find it is possible to design Hamiltonians that share features with the Fermi-Pasta-Ulam model, and these systems relax to a metastable state where different momentum mode energies live at different temperatures.

Download or read book Molecular Excitation Dynamics and Relaxation written by Leonas Valkunas and published by John Wiley & Sons. This book was released on 2013-10-04 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work brings together quantum theory and spectroscopy to convey excitation processes to advanced students and specialists wishing to conduct research and understand the entire fi eld rather than just single aspects. Written by experienced authors and recognized authorities in the field, this text covers numerous applications and offers examples taken from different disciplines. As a result, spectroscopists, molecular physicists, physical chemists, and biophysicists will all fi nd this a must-have for their research. Also suitable as supplementary reading in graduate level courses.

Download or read book Intermolecular and Intramolecular Vibrational Relaxation and Energy Transfer written by Shaul Mukamel and published by . This book was released on 1988 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research program resulted in 53 publications. 43 already appeared, 4 are accepted for publication, and 6 were submitted. These publications are listed at the end of the final report. The research focused in the following major areas: (1) molecular semi-classical dynamics in Liouville space; a unified description of vibrational relaxation nonlinear spectroscopy and rate processes; (ii) intramolecular vibrational redistribution; (iii) vibrational and radiative dynamics in molecular clusters; (iv) coherent and spontaneous Raman, fluorescence and four-wave mixing spectroscopy; (v) excitation transport, electron transfer, and localization in disordered molecular systems. The main accomplishments are summarized in the final report. Molecular semiclassical dynamics, Vibrational relaxation, Nonlinear spectroscopy, Energy transfer, Molecular systems. (MJM).

Download or read book Quantum and Semi classical Percolation and Breakdown in Disordered Solids written by Asok K. Sen and published by Springer Science & Business Media. This book was released on 2009-03-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture notes in physics volume mainly focuses on the semi classical and qu- tum aspects of percolation and breakdown in disordered, composite or granular s- tems. The main reason for this undertaking has been the fact that, of late, there have been a lot of (theoretical) work on quantum percolation, but there is not even a (single) published review on the topic (and, of course, no book). Also, there are many theoretical and experimental studies on the nonlinear current-voltage characteristics both away from, as well as one approaches, an electrical breakdown in composite materials. Some of the results are quite intriguing and may broadly be explained utilising a semi classical (if not, fully quantum mechanical) tunnelling between - cron or nano-sized metallic islands dispersed separated by thin insulating layers, or in other words, between the dangling ends of small percolation clusters. There have also been several (theoretical) studies of Zener breakdown in Mott or Anderson in- lators. Again, there is no review available, connecting them in any coherent fashion. A compendium volume connecting these experimental and theoretical studies should be unique and very timely, and hence this volume. The book is organised as follows. For completeness, we have started with a short and concise introduction on classical percolation. In the ?rst chapter, D. Stauffer reviews the scaling theory of classical percolation emphasizing (biased) diffusion, without any quantum effects. The next chapter by A. K.

Download or read book Dielectric Relaxation and Dynamics of Polar Molecules written by Vladimir I. Ga?duk and published by World Scientific. This book was released on 1999 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics covered in this book provide a qualitative and sometimes quantitative classic description of the wide-band 0-THz dielectric spectra of polar liquids, molecular libration-rotation (which is the reason for dielectric loss and absorption of electromagnetic waves), simple molecular models differing by the intermolecular-potential profiles, and present a comparison between the theoretical and experimental dependencies and derivation of the main results. A new feature is the application of a number of analytical models to different substances, including strongly absorbing nonassociating liquids, liquid water, water bound by macromolecules, and gas-like liquids. The presentation of the theory in this book is also new. It is based on the dynamic method in which the Brownian reorientations are considered implicitly, without direct solution of stochastic equations. This approach simplifies the theory. Senior students and experimentalists will find many of the results valuable.

Download or read book Chaotic Dynamics and Transport in Fluids and Plasmas written by Ilya Prigogine and published by Springer Science & Business Media. This book was released on 1992-10-31 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market: Students and researchers in chaos, plasma physics, and fluid transport. This superb collection of invited papers offers an excellent overview of the current status and future trends in chaotic dynamics, plasma and fluid physics, nonlinear phenomena and chaos, and transport and turbulence studies.

Download or read book The Coupled Water protein Dynamics Within Hydration Layer Surrounding Protein and Semiclassical Approximation for Optical Response Funtion written by Tanping Li and published by . This book was released on 2011 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear response theory has been reported to give good approximations with the nonequilibrium relaxation of Stokes shift in the studies of solvation dynamics. It breaks down for Trp-140 (W140) in Staphylococcus nuclease. Two isomers are found in the electronic ground state of Trp on the time scale of 35 nanosecond simulation. Isomerization of local structure around W151 is crucial to explain the mechanism how linear response theory deviates from the nonequilibrium process.

Download or read book Spin Dynamics in Radical Pairs written by Alan Lewis and published by Springer. This book was released on 2018-09-12 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sheds new light on the dynamical behaviour of electron spins in molecules containing two unpaired electrons (i.e. a radical pair). The quantum dynamics of these spins are made complicated by the interaction between the electrons and the many nuclear spins of the molecule; they are intractable using analytical techniques, and a naïve numerical diagonalization is not remotely possible using current computational resources. Hence, this book presents a new method for obtaining the exact quantum-mechanical dynamics of radical pairs with a modest number of nuclear spins. Readers will learn how a calculation that would take 13 years using conventional wavepacket propagation can now be done in 1 day, and will also discover a new semiclassical method for approximating the dynamics in the presence of many nuclear spins. The new methods covered in this book are shown to provide significant insights into three topical and diverse areas: charge recombination in molecular wires (which can be used in artificially mimicking photosynthesis), magnetoelectroluminescence in organic light-emitting diodes, and avian magnetoreception (how birds sense the Earth’s magnetic field in order to navigate).

Download or read book Dynamics of Relaxing Gases written by John Frederick Clarke and published by . This book was released on 1975 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computer Simulations in Condensed Matter From Materials to Chemical Biology Volume 1 written by Mauro Ferrario and published by Springer. This book was released on 2007-03-09 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive collection of lectures by leading experts in the field introduces and reviews all relevant computer simulation methods and their applications in condensed matter systems. Volume 1 is an in-depth introduction to a vast spectrum of computational techniques for statistical mechanical systems of condensed matter. Volume 2 is a collection of state-of-the-art surveys on numerical experiments carried out for a great number of systems.

Download or read book Relaxation Phenomena in Condensed Matter written by William T. Coffey and published by John Wiley & Sons. This book was released on 2009-09-09 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russian contributors provide a synthesis of ideas drawn from dielectric, magnetic and elastic relaxation. Divided into three sections, the book commences with dielectric and related processes in simple liquids. Part two deals with the structure and dielectric relaxation of aqueous solutions. Lastly, it addresses magnetic and dielectric relaxation in liquid crystals and elastic relaxation in orientable polymers.

Download or read book Advances in Chemical Physics Volume 153 written by Stuart A. Rice and published by John Wiley & Sons. This book was released on 2013-03-19 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed reviews of new and emerging topics in chemical physics presented by leading experts The Advances in Chemical Physics series is dedicated to reviewing new and emerging topics as well as the latest developments in traditional areas of study in the field of chemical physics. Each volume features detailed comprehensive analyses coupled with individual points of view that integrate the many disciplines of science that are needed for a full understanding of chemical physics. Volume 153 of Advances in Chemical Physics features six expertly written contributions: Recent advances of ultrafast X-ray absorption spectroscopy for molecules in solution Scaling perspective on intramolecular vibrational energy flow: analogies, insights, and challenges Longest relaxation time of relaxation processes for classical and quantum Brownian motion in a potential escape rate theory approach Local fluctuations in solution: theory and applications Macroscopic effects of microscopic heterogeneity Ab initio methodology for pseudospin Hamiltonians of anisotropic magnetic centers Reviews published in Advances in Chemical Physics are typically longer than those published in journals, providing the space needed for readers to fully grasp the topic: the fundamentals as well as the latest discoveries, applications, and emerging avenues of research. Extensive cross-referencing enables readers to explore the primary research studies underlying each topic. Advances in Chemical Physics is ideal for introducing novices to topics in chemical physics. Moreover, the series provides the foundation needed for more experienced researchers to advance their own research studies and continue to expand the boundaries of our knowledge in chemical physics.

Download or read book Dynamical Processes in Condensed Matter Volume 63 written by Myron W. Evans and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring the work of an international group of scholars, this volume covers the transport properties and Soliton models of Polyacetylene, development and application of the theory of Brownian Motion, the fading of memory during the regression of structural fluctuations, the breakdown of the Kramers Theory as a problem of correct modeling, and more.

Download or read book Energy Research Abstracts written by and published by . This book was released on 1988 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Encyclopedia of Chemical Physics and Physical Chemistry Fundamentals written by John H. Moore and published by Taylor & Francis. This book was released on 2001 with total page 1178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Encyclopedia of Chemical Physics and Physical Chemistry written by John H. Moore and published by CRC Press. This book was released on 2023-07-03 with total page 1161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Physical Chemistry and Chemical Physics introduces possibly unfamiliar areas, explains important experimental and computational techniques, and describes modern endeavors. The encyclopedia quickly provides the basics, defines the scope of each subdiscipline, and indicates where to go for a more complete and detailed explanation. Particular attention has been paid to symbols and abbreviations to make this a user-friendly encyclopedia. Care has been taken to ensure that the reading level is suitable for the trained chemist or physicist. The encyclopedia is divided in three major sections: FUNDAMENTALS: the mechanics of atoms and molecules and their interactions, the macroscopic and statistical description of systems at equilibrium, and the basic ways of treating reacting systems. The contributions in this section assume a somewhat less sophisticated audience than the two subsequent sections. At least a portion of each article inevitably covers material that might also be found in a modern, undergraduate physical chemistry text. METHODS: the instrumentation and fundamental theory employed in the major spectroscopic techniques, the experimental means for characterizing materials, the instrumentation and basic theory employed in the study of chemical kinetics, and the computational techniques used to predict the static and dynamic properties of materials. APPLICATIONS: specific topics of current interest and intensive research. For the practicing physicist or chemist, this encyclopedia is the place to start when confronted with a new problem or when the techniques of an unfamiliar area might be exploited. For a graduate student in chemistry or physics, the encyclopedia gives a synopsis of the basics and an overview of the range of activities in which physical principles are applied to chemical problems. It will lead any of these groups to the salient points of a new field as rapidly as possible and gives pointers as to where to read about the topic in more detail.