Microcanonical Thermodynamics Phase Transitions In Small Systems

Author : Dieter H. E. Gross
Publisher : World Scientific
ISBN 13 : 9810242158
Total Pages : 287 pages
Book Rating : 4.52/5 ( download)

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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.

Author : Dieter H E Gross
Publisher : World Scientific
ISBN 13 : 9814493643
Total Pages : 287 pages
Book Rating : 4.42/5 ( download)

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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.

Author : Boris M. Smirnov
Publisher : Springer Science & Business Media
ISBN 13 : 3540715142
Total Pages : 249 pages
Book Rating : 4.46/5 ( download)

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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.

Author : Terrell L. Hill
Publisher : Courier Corporation
ISBN 13 : 0486681092
Total Pages : 417 pages
Book Rating : 4.92/5 ( download)

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Download or read book Thermodynamics of Small Systems written by Terrell L. Hill and published by Courier Corporation. This book was released on 1994-01-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative summary introduces basics, explores environmental variables, examines binding on macromolecules and aggregation, and includes brief summaries of electric and magnetic fields, spherical drops and bubbles, and polydisperse systems. 1963 and 1964 editions.

Author : Andrea Puglisi
Publisher : MDPI
ISBN 13 : 3038970573
Total Pages : 335 pages
Book Rating : 4.76/5 ( download)

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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

Author : Klaus Morawetz
Publisher : Springer Science & Business Media
ISBN 13 : 3662089904
Total Pages : 499 pages
Book Rating : 4.03/5 ( download)

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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.

Author : S Costa
Publisher : World Scientific
ISBN 13 : 9814547301
Total Pages : 444 pages
Book Rating : 4.07/5 ( download)

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Download or read book Critical Phenomena and Collective Observables written by S Costa 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. Contents: The Nuclear Liquid-Gas Phase Transition: Present Status and Future Perspectives (J Pochodzalla et al.)Universal Features in the Nuclear Multifragmentation Phase Transition (A Atalmi et al.)Probing Low Density Nuclear Matter (M B Tsang et al.)Instabilities in Finite Systems (M Belkacem et al.)Caloric Curve in Molecular Dynamics (J P Bondorf et al.)Collective Observables in Heavy-Ion Collisions (D Keane)Fragment-Fragment Correlations and Fragment Flow in Heavy Ion Collisions Described within Molecular Dynamics (H W Barz et al.)Reaction Mechanisms in Medium Energy Collisions: Influence of Dynamical Fluctuations (M Colonna et al.)Microscopic Nuclear EOS and Neutron Star Structure (M Baldo et al.)and other papers Readership: Scientists and researchers in nuclear physics. keywords:

Author : Yu. K. Tovbin
Publisher : CRC Press
ISBN 13 : 0429995385
Total Pages : 416 pages
Book Rating : 4.85/5 ( download)

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Download or read book Small Systems and Fundamentals of Thermodynamics written by Yu. K. Tovbin and published by CRC Press. This book was released on 2018-07-17 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small systems are a very active area of research and development due to improved instrumentation that allows for spatial resolution in the range of sizes from one to 100 nm. In this size range, many physical and chemical properties change, which opens up new approaches to the study of substances and their practical application. This affects both traditional fields of knowledge and many other new fields including physics, chemistry, biology, etc. This book highlights new developments in statistical thermodynamics that answer the most important questions about the specifics of small systems - when one cannot apply equations or traditional thermodynamic models.

Author : Terrell L. Hill
Publisher :
ISBN 13 : 9781258402945
Total Pages : 182 pages
Book Rating : 4.47/5 ( download)

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Download or read book Thermodynamics of Small Systems, Part written by Terrell L. Hill and published by . This book was released on 2012-06 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Kuzemsky Alexander Leonidovich
Publisher : World Scientific
ISBN 13 : 981314565X
Total Pages : 1260 pages
Book Rating : 4.58/5 ( download)

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Download or read book Statistical Mechanics And The Physics Of Many-particle Model Systems written by Kuzemsky Alexander Leonidovich and published by World Scientific. This book was released on 2017-02-24 with total page 1260 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.