## On the equation of state of an imperfect hard core gas |

### From inside the book

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Page 10

where indicates a sum over all

long range order or magnetization. Since N is a large number, the sum over R in

Equation 1.12 can be replaced by an integral. Furthermore, the integrand is

highly ...

where indicates a sum over all

**configurations**[jl-J such that |^=W (1.13 R is thelong range order or magnetization. Since N is a large number, the sum over R in

Equation 1.12 can be replaced by an integral. Furthermore, the integrand is

highly ...

Page 22

Clearly, the sum t fit, <*ii over

of C *V* » J since the sum in the exponent of the first expression ranges from 1 to

N and the sum in the exponent of the second expression ranges from 1 to N0.

Clearly, the sum t fit, <*ii over

**configurations**of C ' V 'is equivalent to a sum over £of C *V* » J since the sum in the exponent of the first expression ranges from 1 to

N and the sum in the exponent of the second expression ranges from 1 to N0.

Page 23

The factor l/NI appears here in order to make the connection later on with the real

gas. The prime on the sum over

possible permutations of the particles in a given

The factor l/NI appears here in order to make the connection later on with the real

gas. The prime on the sum over

**configurations**indicates that we must include allpossible permutations of the particles in a given

**configuration**on the lattice.### What people are saying - Write a review

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### Contents

THREE DIMENSIONAL LATTICE GAS | 21 |

THREE DIMENSIONAL HARD CORE GAS WITH | 39 |

CHAPTER k RESULTS OF THE THEORY OF THE REAL GAS | 52 |

3 other sections not shown

### Common terms and phrases

applied magnetic field base points Brout calculation canonical ensemble cluster expansion configuration Consequently critical temperature cross term Curie point Curie temperature curve defined Density Expansion derivation Diagrams Occuring diagrams of Figure dimensional Ising model dotted line bonds dotted line diagram dotted lines connected equivalent external dotted factor Figure A.l Figure B.2a fluctuations following diagrams Fourier transform free energy full semi-invariant Gaussian model given grand partition function hard core gas Horwitz Identical Diagrams internal dotted lines irreducible diagrams contribute irreducible graphs lattice gas Lennard-Jones Lennard-Jones potential logarithm loops Mayer model of ferromagnetism molecular field theory number of particles obtained overcounting phase transition Phys polynomial potential pressure real gas reducible combination Reducibly linked graphs renormalized represents result ring graphs saddle parameter solid lines spherical model graphs spin sum rule summation superposition approximation theorem theory of condensation three dimensional tion translational invariance vertex containing vertices zero applied magnetic