On the Equation of State of an Imperfect Hard Core Gas |
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Page 26
... following diagrams denote how this is done . A solid line represents a factor unger and a dotted line a factor -der • 3 3 4 +4 41 4 3 +21 3 +4 +41 4 2 Figure 2.1 Diagrams Showing the Unlinked Terms of M2 The fourth diagram in Figure 2.1 ...
... following diagrams denote how this is done . A solid line represents a factor unger and a dotted line a factor -der • 3 3 4 +4 41 4 3 +21 3 +4 +41 4 2 Figure 2.1 Diagrams Showing the Unlinked Terms of M2 The fourth diagram in Figure 2.1 ...
Page 73
... diagram to arrive at the same diagram . This is done in the following way . ( a ) ( b ) Figure B. 2 Identical Diagrams Produced by Breaking up Diagrams B.la and B. 1b Consider Figure B. 2a occuring in the cluster expansion . diagram has ...
... diagram to arrive at the same diagram . This is done in the following way . ( a ) ( b ) Figure B. 2 Identical Diagrams Produced by Breaking up Diagrams B.la and B. 1b Consider Figure B. 2a occuring in the cluster expansion . diagram has ...
Page 78
... diagrams in all orders follows . We consider first the following diagrams in second and third order . 3 2 6 45 . 3 13 2 3 ( a ) ( b ) Figure D.1 Diagrams Contributing to Second and Third Orders If the diagrams of Figure D.la are ...
... diagrams in all orders follows . We consider first the following diagrams in second and third order . 3 2 6 45 . 3 13 2 3 ( a ) ( b ) Figure D.1 Diagrams Contributing to Second and Third Orders If the diagrams of Figure D.la are ...
Contents
ISING MODEL OF FERROMAGNETISM | 4 |
THREE DIMENSIONAL LATTICE | 21 |
WEAK ATTRACTIVE TAIL | 39 |
4 other sections not shown
Common terms and phrases
applied magnetic field attractive tail base points BRARY Brout calculation canonical ensemble cluster expansion coefficient configurations CORNE CORNELL LIBRARY CORNELL UNIVERSITY CORNELL critical temperature Curie point Curie temperature defined denote Diagrams Occuring diagrams of Figure dotted line diagram dotted lines connected Equation equivalent external dotted factor ferromagnetism Figure A.1 fluctuations Fourier transform free energy given grand ensemble grand partition function hard core gas Identical Diagrams infinite interaction internal dotted lines irreducible graphs Ising model isotherms lattice gas LIBRARY CORNELL CORNELL LIBRARY LIBRARY line vertex loops Mayer molecular field theory non-crossing obtained overcounting phase transition Phys potential pressure r₁-r real gas reducible Reducibly linked graphs renormalized result ri-rj ring graphs saddle parameter solid lines spherical model spins sum rule summation theorem Theory of Condensation tion UNIVER UNIVERSITY CORNELL UNIVERSITY unlinked vertex containing vertices W(pva