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Author: T. L. Hill
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: T. L. Hill
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Terrell L. Hill
Publisher: Courier Corporation
ISBN: 0486681092
Category : Science
Languages : en
Pages : 417
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Book Description
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: Terrell L. Hill
Publisher:
ISBN: 9781258402945
Category :
Languages : en
Pages : 182
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Author: Dieter H. E. Gross
Publisher: World Scientific
ISBN: 9810242158
Category : Science
Languages : en
Pages : 287
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Book Description
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: Terrell L. Hill
Publisher: Courier Corporation
ISBN: 0486783170
Category : Science
Languages : en
Pages : 417
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Book Description
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: Yu. K. Tovbin
Publisher: CRC Press
ISBN: 0429995385
Category : Science
Languages : en
Pages : 244
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Book Description
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: Andrea Puglisi
Publisher: MDPI
ISBN: 3038970573
Category : Mathematics
Languages : en
Pages : 335
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Book Description
This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy
Author: Terrell L. Hill
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Terrell L. Hill
Publisher: Courier Corporation
ISBN: 0486130908
Category : Science
Languages : en
Pages : 546
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Book Description
Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.
Author: T. L. Hill
Publisher:
ISBN:
Category :
Languages : en
Pages :
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