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Free energy

Dennis Sherwood and Paul Dalby

in Modern Thermodynamics for Chemists and Biochemists

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198782957
eISBN:
9780191826177
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198782957.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

A critical chapter, explaining how the principles of thermodynamics can be applied to real systems. The central concept is the Gibbs free energy, which is explored in depth, with many examples. ... More


Quantum Mechanical Ensemble Averages and Statistical Thermodynamics

Norman J. Morgenstern Horing

in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198791942
eISBN:
9780191834165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791942.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 6 introduces quantum-mechanical ensemble theory by proving the asymptotic equivalence of the quantum-mechanical, microcanonical ensemble average with the quantum grand canonical ensemble ... More


Extremum Principles

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0015
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter derives the energy minimum principle from the entropy maximum principle. It postulates and consider the consequences of extensivity. From this are further derived minimum principles for ... More


Thermodynamic Potentials

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0012
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

Thermodynamics specifies the relation between an independent, predictor variable, and what is predicted. It is often the case that changing the variables regarded as independent can greatly simplify ... More


Basic laws of thermodynamics

Boris S. Bokstein, Mikhail I. Mendelev, and David J. Srolovitz

in Title Pages

Published in print:
2005
Published Online:
November 2020
ISBN:
9780198528036
eISBN:
9780191916632
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198528036.003.0003
Subject:
Chemistry, Thermochemistry and Chemical Thermodynamics

In this chapter, we first introduce the basic laws of thermodynamics and R17the most important thermodynamic functions. Even though many of the concepts introduced ... More


Overview and Some Fundamental Information

Burak Erman and James E. Mark

in Structures and Properties of Rubberlike Networks

Published in print:
1997
Published Online:
November 2020
ISBN:
9780195082371
eISBN:
9780197560433
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195082371.003.0003
Subject:
Chemistry, Materials Chemistry

This chapter is a brief overview of the topics treated in the book. It is aimed, in particular, at providing some qualitative information on rubber elasticity theories and their relationships to ... More


Classical Theories of Rubber Elasticity

Burak Erman and James E. Mark

in Structures and Properties of Rubberlike Networks

Published in print:
1997
Published Online:
November 2020
ISBN:
9780195082371
eISBN:
9780197560433
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195082371.003.0004
Subject:
Chemistry, Materials Chemistry

This chapter describes three molecular theories of rubber elasticity. Section 2.1 outlines the elementary theory of Kuhn and Treloar, which is of particular importance since it presents the basic ... More


Intermolecular Effects: II. Constraints along Network Chains

Burak Erman and James E. Mark

in Structures and Properties of Rubberlike Networks

Published in print:
1997
Published Online:
November 2020
ISBN:
9780195082371
eISBN:
9780197560433
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195082371.003.0006
Subject:
Chemistry, Materials Chemistry

In the constrained-junction model presented in chapter 3, intermolecular correlations were assumed to suppress the fluctuations of junctions. According to this model, the elastic free energy of a ... More


Swelling of Networks

Burak Erman and James E. Mark

in Structures and Properties of Rubberlike Networks

Published in print:
1997
Published Online:
November 2020
ISBN:
9780195082371
eISBN:
9780197560433
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195082371.003.0008
Subject:
Chemistry, Materials Chemistry

In the preceding chapter, the stress-strain behavior of networks was described for the case where the swollen network was assumed to be a thermodynamically closed system (such that solvent ... More


Networks Having Multimodal Chain-Length Distributions

Burak Erman and James E. Mark

in Structures and Properties of Rubberlike Networks

Published in print:
1997
Published Online:
November 2020
ISBN:
9780195082371
eISBN:
9780197560433
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195082371.003.0015
Subject:
Chemistry, Materials Chemistry

As was mentioned in chapter 10, end-linking reactions can be used to make networks of known structures, including those having unusual chain-length distributions. One of the uses of networks having ... More


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