Microcanonical Thermodynamics

Microcanonical Thermodynamics
Author :
Publisher : World Scientific
Total Pages : 287
Release :
ISBN-10 : 9789810242152
ISBN-13 : 9810242158
Rating : 4/5 (158 Downloads)

Book Synopsis Microcanonical Thermodynamics by : Dieter H. E. Gross

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.


Microcanonical Thermodynamics Related Books

Microcanonical Thermodynamics
Language: en
Pages: 287
Authors: Dieter H. E. Gross
Categories: Science
Type: BOOK - Published: 2001 - Publisher: World Scientific

DOWNLOAD EBOOK

Boltzmann's formula S = In(W(E) defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quickl
Microcanonical Thermodynamics: Phase Transitions In
Language: en
Pages: 287
Authors: Dieter H E Gross
Categories: Science
Type: BOOK - Published: 2001-03-15 - Publisher: World Scientific

DOWNLOAD EBOOK

Boltzmann's formula S = In[W(E)] defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quick
Phase Transitions of Simple Systems
Language: en
Pages: 249
Authors: Boris M. Smirnov
Categories: Science
Type: BOOK - Published: 2007-10-24 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 Small Systems
Language: en
Pages: 417
Authors: Terrell L. Hill
Categories: Science
Type: BOOK - Published: 1994-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Authoritative summary introduces basics, explores environmental variables, examines binding on macromolecules and aggregation, and includes brief summaries of e
Thermodynamics and Statistical Mechanics of Small Systems
Language: en
Pages: 335
Authors: Andrea Puglisi
Categories:
Type: BOOK - Published: 2018-09-04 - Publisher: MDPI

DOWNLOAD EBOOK

This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy