Download or read book Microcanonical Thermodynamics written by Dieter H. E. Gross and published by World Scientific. This book was released on 2001 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boltzmann's formula S = In(W(E) defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quickly switch to the canonical ensemble introduced by Gibbs. This has the main advantage of easier analytical calculations, but there is a price to pay -- for example, phase transitions can only be defined in the thermodynamic limit of infinite system size. The question how phase transitions show up from systems with, say, 100 particles with an increasing number towards the bulk can only be answered when one finds a way to define and classify phase transitions in small systems. This is all possible within Boltzmann's original definition of the microcanonical ensemble. Starting from Boltzmann's formula, the book formulates the microcanonical thermodynamics entirely within the frame of mechanics. This way the thermodynamic limit is avoided and the formalism applies to small as well to other nonextensive systems like gravitational ones. Phasetransitions of first order, continuous transitions, critical lines and multicritical points can be unambiguously defined by the curvature of the entropy S(E, N). Special attention is given to the fragmentation of nuclei and atomic clusters as a peculiar phase transition of small systems controlled, among others, by angular momentum. The dependence of the liquid-gas transition of small atomic clusters under prescribed pressure is treated. Thus the analogue to the bulk transition can be studied. New insights into the many facets of the many-body physics of the critical point are presented. The book also describes the microcanonical statistics of the collapse of a self-gravitating system under large angular momentum.
Download or read book Microcanonical Thermodynamics Phase Transitions In Small Systems written by Dieter H E Gross and published by World Scientific. This book was released on 2001-03-15 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boltzmann's formula S = In[W(E)] defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quickly switch to the canonical ensemble introduced by Gibbs. This has the main advantage of easier analytical calculations, but there is a price to pay — for example, phase transitions can only be defined in the thermodynamic limit of infinite system size. The question how phase transitions show up from systems with, say, 100 particles with an increasing number towards the bulk can only be answered when one finds a way to define and classify phase transitions in small systems. This is all possible within Boltzmann's original definition of the microcanonical ensemble.Starting from Boltzmann's formula, the book formulates the microcanonical thermodynamics entirely within the frame of mechanics. This way the thermodynamic limit is avoided and the formalism applies to small as well to other nonextensive systems like gravitational ones. Phase transitions of first order, continuous transitions, critical lines and multicritical points can be unambiguously defined by the curvature of the entropy S(E,N). Special attention is given to the fragmentation of nuclei and atomic clusters as a peculiar phase transition of small systems controlled, among others, by angular momentum.The dependence of the liquid-gas transition of small atomic clusters under prescribed pressure is treated. Thus the analogue to the bulk transition can be studied. The book also describes the microcanonical statistics of the collapse of a self-gravitating system under large angular momentum.
Download or read book Phase Transitions of Simple Systems written by Boris M. Smirnov and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops a unified microscopic basis for phases and phase changes of bulk matter and small systems, based on classical physics. It describes the thermodynamics of ensembles of particles and explains phase transition in gaseous and liquid systems. The origins are derived from simple but physically relevant models of how transitions occur between rigid and fluid states, of how phase equilibria arise, and how they differ for small and large systems.
Download or read book Thermodynamics and Statistical Mechanics of Small Systems written by Andrea Puglisi and published by MDPI. This book was released on 2018-09-04 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy
Download or read book Statistical Mechanics of Phase Transitions written by J. M. Yeomans and published by Clarendon Press. This book was released on 1992-05-07 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -
Download or read book Nonequilibrium Physics at Short Time Scales written by Klaus Morawetz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales.
Download or read book Thermodynamics of Finite Systems and the Kinetics of First Order Phase Transitions written by Juern Schmelzer and published by Vieweg+Teubner Verlag. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This booklet is devoted to the thermodynamic and kinetic description of first-order phase transitions. In general, the matter of the world exists in different phases. Normally phase ctlanges take place in ther modynamic equilibrium, which will be considered here. Typically,the system is rapidly quenched from a one-phase thermal equilibrium state to a nonequilibrium situation. During the so-ca lIed equilibrium phase transformation process the quenched supersaturated system evolves from the nonequilibrium state to an equilibrium one which consists of two coexisting phases. In aseries of books on phase transitions and critical phenomena (DDMB, GREEN, lEBDWITZ, 1972 - 19B3) an immense amount of material to different aspects of ttlis topic is summarized. The other type of phase transitions takes place in systems far from equilibrium. Due to 'the nonequi1ibrium boundary conditions and the flu xes from the environment into the system the final state of this so called nonequilibrium phase transition is a stable nonequilibrium si tuation. Such interesting processes (e. g. pattern formation, multista bi1ity) do not appear only in physics but also in chemistry, meteorolo gy, biology and many areas of engineering. Concerning questions in this context we recommend the reader to the monographs by HAKEN (197B), and EBElING, FEISTEl (1982). An overview of the problems of recent interest in this field is given in the Proceedings of the Third International Conference on Irreversible Processes and Dissipative Structures, edited by EBElING and Ul8RICHT (1986).
Download or read book Critical Phenomena And Collective Observables Cris 96 written by Antonio Insolia and published by World Scientific. This book was released on 1996-11-09 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: CRIS (Catania Relativistic Ion Studies) is a new series of Topical Conferences to be held at regular intervals in Catania or in its environs. Aim of the CRIS Conferences is to gather active researchers from several countries to discuss specific hot topics in the field of heavy ion physics.The first CRIS Conference, CRIS '96, has been devoted to “Critical Phenomena and Collective Observables”, a quite hot topic after the recent experimental evidences of a liquid-gas phase transition in finite nuclei found by the EOS and ALADiN Collaborations and the progress made in the understanding of the relevance of collective observables, like flow and balance energy for the study of the Nuclear Equation of State.
Download or read book Statistical Mechanics And The Physics Of Many particle Model Systems written by Alexander Leonidovich Kuzemsky and published by World Scientific. This book was released on 2017-02-24 with total page 1259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
Download or read book Generalised Thermostatistics written by Jan Naudts and published by Springer Science & Business Media. This book was released on 2011-02-07 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required.
Download or read book Proceedings of the Conference Foundations of Probability and Physics written by Andre? I?U?r?evich Khrennikov and published by World Scientific. This book was released on 2001 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts in experimental as well as theoretical physics (both classical and quantum) and probability theory give their views on many intriguing (and still mysterious) problems regarding the probabilistic foundations of physics. The problems discussed during the conference include Einstein?Podolsky?Rosen paradox, Bell's inequality, realism, nonlocality, role of Kolmogorov model of probability theory in quantum physics, von Mises frequency theory, quantum information, computation, ?quantum effects? in classical physics.
Download or read book Foundations Of Probability And Physics Proceedings Of The Conference written by Andrei Yu Khrennikov and published by World Scientific. This book was released on 2001-12-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts in experimental as well as theoretical physics (both classical and quantum) and probability theory give their views on many intriguing (and still mysterious) problems regarding the probabilistic foundations of physics. The problems discussed during the conference include Einstein-Podolsky-Rosen paradox, Bell's inequality, realism, nonlocality, role of Kolmogorov model of probability theory in quantum physics, von Mises frequency theory, quantum information, computation, “quantum effects” in classical physics.
Download or read book Proceedings of the Conference Foundations of Probability and Physics written by A. Khrennikov and published by World Scientific. This book was released on 2001 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts in experimental as well as theoretical physics (both classical and quantum) and probability theory give their views on many intriguing (and still mysterious) problems regarding the probabilistic foundations of physics. The problems discussed during the conference include EinsteinOCoPodolskyOCoRosen paradox, Bell's inequality, realism, nonlocality, role of Kolmogorov model of probability theory in quantum physics, von Mises frequency theory, quantum information, computation, OC quantum effectsOCO in classical physics. Contents: Locality and Bell's Inequality (L Accardi & M Regoli); Refutation of Bell's Theorem (G Adenier); Forcing Discretization and Determination in Quantum History Theories (B Coecke); Some Remarks on Hardy Functions Associated with Dirichlet Series (W Ehm); Ensemble Probabilistic Equilibrium and Non-Equilibrium Thermodynamics without the Thermodynamic Limit (D H E Gross); An Approach to Quantum Probability (S Gudder); Innovation Approach to Stochastic Processes and Quantum Dynamics (T Hida); Origin of Quantum Probabilities (A Khrennikov); OC ComplementarityOCO or Schizophrenia: Is Probability in Quantum Mechanics Information or Onta? (A F Kracklauer); A Probabilistic Inequality for the KochenOCoSpecker Paradox (J-A Larsson); Quantum Stochastics. The New Approach to the Description of Quantum Measurements (E Loubenets); Is Random Event a Core Question? Some Remarks and a Proposal (P Rocchi); Quantum Cryptography in Space and Bell's Theorem (I Volovich); and other papers. Readership: Graduate students and researchers in quantum physics, mathematical physics, theoretical physics, stochastic processes, and probability & statistics."
Download or read book Geometry and Phase Transitions in Colloids and Polymers written by William Kung and published by World Scientific. This book was released on 2009 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions. Book jacket.
Download or read book Nanoalloys written by Florent Calvo and published by Elsevier. This book was released on 2020-06-26 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanoalloys, Second Edition, provides a self-contained reference on the physics and chemistry of nanoscale alloys, dealing with all important aspects that range from the theoretical concepts and the practical synthesis methods to the characterization tools. The book also covers modern applications of nanoalloys in materials science, catalysis or nanomedicine and discusses their possible toxicity. - Covers fundamentals and applicative aspects of nanoalloys in a balanced presentation, including theoretical and experimental perspectives - Describes physical and chemical approaches, synthesis and characterization tools - Illustrates the potential benefit of alloying on various applications ranging from materials science to energy production and nanomedicine - Updates and adds topics not fully developed at the time of the 1st edition, such as toxicity and energy applications
Download or read book Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics written by Julio Antonio Gonzalo and published by World Scientific. This book was released on 2006 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins by introducing the effective field approach, the simplest approach to phase transitions. It provides an intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's theory is stressed.The main coverage is devoted to specific applications of the effective field concept to ferroelectric systems, both hydrogen bonded ferroelectrics, like those in the TGS family, and oxide ferroelectrics, like pure and mixed perovskites.
Download or read book Effective Field Approach To Phase Transitions And Some Applications To Ferroelectrics 2nd Edition written by Julio A Gonzalo and published by World Scientific. This book was released on 2006-08-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins by introducing the effective field approach, the simplest approach to phase transitions. It provides an intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's theory is stressed.The main coverage is devoted to specific applications of the effective field concept to ferroelectric systems, both hydrogen bonded ferroelectrics, like those in the TGS family, and oxide ferroelectrics, like pure and mixed perovskites.
