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Phase Transitions

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0017
Subject:
Physics, Condensed Matter Physics / Materials

The violation of the stability conditions discussed in the previous chapter leads to phase transitions. To illustrate the important ideas related to phase transitions, this chapter introduces the van ... More


Phase Transitions

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/9780198853237.003.0017
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

Phase transitions are introduced using the van der Waals gas as an example. The equations of state are derived from the Helmholtz free energy of the ideal gas. The behavior of this model is analyzed, ... More


Phase equilibria

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/9780198782957.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter extends the discussion of gas phase equilibria to phase equilibria. The central concept is the vapour pressure, and the key proof is that the criterion for phase equilibrium is the ... More


Modelling real gases

Andrew M. Steane

in Thermodynamics: A complete undergraduate course

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198788560
eISBN:
9780191830426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198788560.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The behaviour of real (as opposed to ideal) gases is described and modelled. The van der Waals, Redlich–Kwong, Dieterici, and Peng–Robinson equations are all described, and the virial expansion is ... More


Shocks

S. G. Rajeev

in Fluid Mechanics: A Geometrical Point of View

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198805021
eISBN:
9780191843136
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805021.003.0006
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

When the speed of a fluid exceeds that of sound, discontinuities in density occur, called shocks.The opposite limit from incompressibility (constant density) is constant pressure. In this limit, we ... More


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