Download or read book Modeling Phase Transitions in the Brain written by D. Alistair Steyn-Ross and published by Springer Science & Business Media. This book was released on 2010-03-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foreword by Walter J. Freeman. The induction of unconsciousness using anesthetic agents demonstrates that the cerebral cortex can operate in two very different behavioral modes: alert and responsive vs. unaware and quiescent. But the states of wakefulness and sleep are not single-neuron properties---they emerge as bulk properties of cooperating populations of neurons, with the switchover between states being similar to the physical change of phase observed when water freezes or ice melts. Some brain-state transitions, such as sleep cycling, anesthetic induction, epileptic seizure, are obvious and detected readily with a few EEG electrodes; others, such as the emergence of gamma rhythms during cognition, or the ultra-slow BOLD rhythms of relaxed free-association, are much more subtle. The unifying theme of this book is the notion that all of these bulk changes in brain behavior can be treated as phase transitions between distinct brain states. Modeling Phase Transitions in the Brain contains chapter contributions from leading researchers who apply state-space methods, network models, and biophysically-motivated continuum approaches to investigate a range of neuroscientifically relevant problems that include analysis of nonstationary EEG time-series; network topologies that limit epileptic spreading; saddle--node bifurcations for anesthesia, sleep-cycling, and the wake--sleep switch; prediction of dynamical and noise-induced spatiotemporal instabilities underlying BOLD, alpha-, and gamma-band Hopf oscillations, gap-junction-moderated Turing structures, and Hopf-Turing interactions leading to cortical waves.
Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 1994-01-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Download or read book Statistical Mechanics of Phases and Phase Transitions written by Steven A. Kivelson and published by Princeton University Press. This book was released on 2024-04-09 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging undergraduate introduction to the statistical mechanics of phase transitions Statistical mechanics deploys a powerful set of mathematical approaches for studying the thermodynamic properties of complex physical systems. This textbook introduces students to the statistical mechanics of systems undergoing changes of state, focusing on the basic principles for classifying distinct thermodynamic phases and the critical phenomena associated with transitions between them. Uniquely designed to promote active learning, Statistical Mechanics of Phases and Phase Transitions presents some of the most beautiful and profound concepts in physics, enabling students to obtain an essential understanding of a computationally challenging subject without getting lost in the details. Provides a self-contained, conceptually deep introduction to the statistical mechanics of phases and phase transitions from a modern perspective Carefully leads students from spontaneously broken symmetries to the universality of phase transitions and the renormalization group Encourages student-centric active learning suitable for both the classroom and self-study Features a wealth of guided worksheets with full solutions throughout the book that help students learn by doing Includes informative appendixes that cover key mathematical concepts and methods Ideal for undergraduate physics majors and beginning graduate students Solutions manual for all end-of-chapter problems (available only to instructors)
Download or read book Thermodynamics And Statistical Mechanics written by Richard Fitzpatrick and published by World Scientific. This book was released on 2020-07-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive exposition of the theory of equilibrium thermodynamics and statistical mechanics at a level suitable for well-prepared undergraduate students. The fundamental message of the book is that all results in equilibrium thermodynamics and statistical mechanics follow from a single unprovable axiom — namely, the principle of equal a priori probabilities — combined with elementary probability theory, elementary classical mechanics, and elementary quantum mechanics.
Download or read book Phase Transitions in Solids Under High Pressure written by Vladimir Davydovich Blank and published by CRC Press. This book was released on 2013-10-25 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of high-pressure techniques has become popular for studying the nature of substances and phenomena occurring in them, especially as a means of obtaining new materials (synthesis under high pressure) and processing known materials (hydroextrusion). A product of many years of research by the authors and their colleagues, Phase Transitions in
Download or read book Science and Technology of High Pressure written by Murli H. Manghnani and published by Universities Press. This book was released on 2000 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: These books presents a wide spectrum of research and development activities in the field of High Pressure Science and Technology. These book provide comprehensive and interdisciplinary descriptions of recent research accomplishments in the biological, chemical, Earth, materrals, physical, physiological and related sciences.
Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.
Download or read book Phase Transitions and Relaxation in Systems with Competing Energy Scales written by T. Riste and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems with competing energy scales are widespread and exhibit rich and subtle behaviour, although their systematic study is a relatively recent activity. This text presents lectures given at a NATO Advanced Study Institute reviewing the current knowledge and understanding of this fascinating subject, particularly with regard to phase transitions and dynamics, at an advanced tutorial level. Both general and specific aspects are considered, with competitions having several origins; differences in intrinsic interactions, interplay between intrinsic and extrinsic effects, such as geometry and disorder; irreversibility and non-equilibration. Among the specific physical application areas are supercooled liquids and glasses, high-temperature superconductors, flux or vortex pinning and motion, charge density waves, domain growth and coarsening, and electron solidification.
Download or read book The B L Phase Transition written by Kai Schmitz and published by Springer Science & Business Media. This book was released on 2013-10-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several of the very foundations of the cosmological standard model — the baryon asymmetry of the universe, dark matter, and the origin of the hot big bang itself — still call for an explanation from the perspective of fundamental physics. This work advocates one intriguing possibility for a consistent cosmology that fills in the theoretical gaps while being fully in accordance with the observational data. At very high energies, the universe might have been in a false vacuum state that preserved B-L, the difference between the baryon number B and the lepton number L as a local symmetry. In this state, the universe experienced a stage of hybrid inflation that only ended when the false vacuum became unstable and decayed, in the course of a waterfall transition, into a phase with spontaneously broken B-L symmetry. This B-L Phase Transition was accompanied by tachyonic preheating that transferred almost the entire energy of the false vacuum into a gas of B-L Higgs bosons, which in turn decayed into heavy Majorana neutrinos. Eventually, these neutrinos decayed into massless radiation, thereby producing the entropy of the hot big bang, generating the baryon asymmetry of the universe via the leptogenesis mechanism and setting the stage for the production of dark matter. Next to a variety of conceptual novelties and phenomenological predictions, the main achievement of the thesis is hence the fascinating notion that the leading role in the first act of our universe might have actually been played by neutrinos.
Download or read book From Fields to Strings written by Misha Shifman and published by World Scientific. This book was released on 2005 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Naval Research Reviews written by and published by . This book was released on 1983 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Phase Behavior of Two Dimensional Water Confined in Graphene Nanocapillaries written by YinBo Zhu and published by Springer Nature. This book was released on 2020-10-07 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors use molecular dynamics simulations to conduct a comprehensive study of the compression/superheating limit and phase transition of 2D (monolayer, bilayer, and trilayer) water/ice constrained in graphene nanocapillaries. When subjected to nanoscale confinement and under ultrahigh pressure, water and ice behave quite differently than their bulk counterparts, partly because the van der Waals pressure can spark a water-to-ice transformation, known as the metastability limit of two-dimensional (2D) liquids. From a mechanical standpoint, this liquid-to-solid transformation characterizes the compression limit (or metastability limit) of 2D water. The findings presented here could help us to better understand the phase behavior of 2D confined water/ice.
Download or read book Phenomena Beyond the Standard Model What Do We Expect for New Physics to Look Like written by Roman Pasechnik and published by Frontiers Media SA. This book was released on 2020-09-03 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.
Download or read book Reconstructive Phase Transitions In Crystals And Quasicrystals written by Vladimir Dmitriev and published by World Scientific. This book was released on 1996-09-30 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.
Download or read book M3D III written by Alan Wolfenden and published by ASTM International. This book was released on 1997 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises 27 papers from the November 1995 symposium in Norfolk, Virginia. Covers the intersection of the fields of mechanics of solids and materials science. Representative topics: internal friction associated with discontinuous precipitation in lead-tin alloys, magnetomechanical damping in thermal
Download or read book Dynamics Of First Order Phase Transitions Proceedings Of The Workshop written by Hans J Herrmann and published by World Scientific. This book was released on 1992-11-10 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scale Invariance written by Annick LESNE and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.
