Author: D. Alistair Steyn-Ross
Publisher: Springer Science & Business Media
ISBN: 1441907963
Category : Medical
Languages : en
Pages : 325
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Book Description
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.
Author: G.R. Grimmett
Publisher: Springer Science & Business Media
ISBN: 9780792327202
Category : Language Arts & Disciplines
Languages : en
Pages : 350
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Book Description
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.
Author: Steven A. Kivelson
Publisher: Princeton University Press
ISBN: 0691249725
Category : Science
Languages : en
Pages : 473
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Book Description
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)
Author: H. K. Henisch
Publisher: Elsevier
ISBN: 1483158624
Category : Science
Languages : en
Pages : 455
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Book Description
Phase Transitions - 1973 is a collection of the proceedings of the Conference on Phase Transitions and Their Applications in Materials Science, held at Pennsylvania State University, Pennsylvania, on May 23-25, 1973. The papers explore some of the practical applications of solid-state phase transitions and consequent precursor property modifications in metals, ceramics, glasses, polymers, macromolecules, and biological systems. Comprised of 41 chapters, this book begins with an introduction to applications of phase transitions in materials science, followed by a syncretist classification of phase transitions. Subsequent chapters discuss phase transitions in materials such as liquid crystals, PLZT ceramics, disordered semiconductors, silver iodide single crystals, and aluminum alloys. The structural aspects of phase transitions are also considered, along with the statistical mechanics of glass transition; thermal expansion and phase transitions in silica; phase transformation of Fe-Mn alloys induced by shock loading; and order-disorder transitions in biopolymers. This monograph will be of interest to physicists and materials scientists.
Author: Virgil Baran
Publisher: World Scientific
ISBN: 9814476730
Category : Science
Languages : en
Pages : 690
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Book Description
This volume contains the invited contributions that were presented at the Predeal International Summer School in Nuclear Physics 2006. It covers the recent achievements in the fields of nuclear structure, double beta decay, nuclear multifragmentation, kaon and dilepton production in heavy ion collisions, and the quark-gluon plasma. The treatment is both theoretical and experimental, with emphasis on the collective aspects and related phase transitions. The papers are authored by many leading researchers in the field.
Author: Nigel Goldenfeld
Publisher: CRC Press
ISBN: 0429962045
Category : Science
Languages : en
Pages : 417
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Book Description
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.
Author: Hans J Herrmann
Publisher: World Scientific
ISBN: 9814553565
Category :
Languages : en
Pages : 403
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Book Description
Author: Vladimir Davydovich Blank
Publisher: CRC Press
ISBN: 146659425X
Category : Science
Languages : en
Pages : 451
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Book Description
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
Author: Murli H. Manghnani
Publisher: Universities Press
ISBN: 9788173713385
Category : Science
Languages : en
Pages : 650
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Book Description
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.
Author: Malte Henkel
Publisher: Springer Science & Business Media
ISBN: 1402087659
Category : Science
Languages : en
Pages : 385
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Book Description
This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.
