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## Advanced Statistical Mechanics

*Barry M McCoy*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199556632
- eISBN:
- 9780191723278
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556632.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book begins where elementary books and courses leave off and covers the advances made in statistical mechanics in the past fifty years. The book is divided into three parts. The first part is on ... More

## Ree–Hoover virial expansion and hard particles

*Barry M. McCoy*

### in Advanced Statistical Mechanics

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199556632
- eISBN:
- 9780191723278
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556632.003.0007
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter derives the modification of the Mayer expansion made by Ree and Hoover. Analytic expressions for the virial coefficients B2,B3, and B4 are given and Monte–Carlo results for Bn for 5 ≤ n ... More

## Foundations of the Mode-Coupling Theory for the Evolution of Glassy Dynamics in Liquids

*Wolfgang Götze*

### in Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780199235346
- eISBN:
- 9780191715600
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199235346.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials

In this chapter, mode-coupling equations of motion for a correlation-function description of the dynamics of simple liquids and colloids are derived and their mathematical properties are analysed. ... More

## High density expansions

*Barry M. McCoy*

### in Advanced Statistical Mechanics

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199556632
- eISBN:
- 9780191723278
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556632.003.0008
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter sketches the basic principles of molecular dynamics computations. It presents the results of high density computations for hard spheres and discs. It provides data for the freezing ... More

## Pseudo-Liouville and Binary Collision Operators in Dissipative Gas Dynamics

*Nikolai V. Brilliantov and Thorsten Pöschel*

### in Kinetic Theory of Granular Gases

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198530381
- eISBN:
- 9780191713057
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198530381.003.0013
- Subject:
- Physics, Condensed Matter Physics / Materials

For hard spheres the interaction potential diverges, that is, an infinite force arises when two particles are brought into contact. This causes serious problems when the standard tools of kinetic ... More

## Perturbation Theory

*C. G. Gray and K. E. Gubbins*

### in Theory of Molecular Fluids: I: Fundamentals

- Published in print:
- 1984
- Published Online:
- November 2020
- ISBN:
- 9780198556022
- eISBN:
- 9780191919251
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198556022.003.0010
- Subject:
- Chemistry, Theoretical Chemistry

In perturbation theory one relates the properties (e.g. the distribution functions or free energy) of the real system, for which the intermolecular potential energy is u(rN ωN), to those of a ... More

## Integral Equation Methods

*C. G. Gray and K. E. Gubbins*

### in Theory of Molecular Fluids: I: Fundamentals

- Published in print:
- 1984
- Published Online:
- November 2020
- ISBN:
- 9780198556022
- eISBN:
- 9780191919251
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198556022.003.0011
- Subject:
- Chemistry, Theoretical Chemistry

In this chapter we describe some of the integral equation methods which have been devised for calculating the angular pair correlation function g(rω1ω2) and the site-site pair correlation function ... More

## Gravitational Scattering

*John A. Adam*

### in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691148373
- eISBN:
- 9781400885404
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148373.003.0016
- Subject:
- Mathematics, Applied Mathematics

This chapter discusses Kepler's laws of planetary motion in relation to gravitational scattering. Gravitational scattering occurs when the paths of particles passing near a massive body are ... More

## Properties of Non-Instant and Nonlocal Corrections

*Klaus Morawetz*

### in Interacting Systems far from Equilibrium: Quantum Kinetic Theory

- Published in print:
- 2017
- Published Online:
- February 2018
- ISBN:
- 9780198797241
- eISBN:
- 9780191838743
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198797241.003.0014
- Subject:
- Physics, Condensed Matter Physics / Materials

The derived nonlocal and non-instant shifts are discussed with respect to various symmetries and gauges. The classical counterparts are derived and found in agreement with the expected ... More

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