By G.H. A. Cole

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**Extra resources for An Introduction to the Statistical Theory of Classical Simple Dense Fluids**

**Sample text**

5, it is found that the distance OA is to be identified with the distance o while ε is to be identified with the depth BC. 4): a is still the particle size and A is still associated with the depth of the potential at its minimum value. 6) 0 FIG. 5. General form of the interparticle force potential for simple spherical particles. Many alternative values of m have been suggested for special problems :4 these usually lie in the range 10-15, although m = 28 has been used in connection with polar molecules.

29) the micro- and macroworlds are therefore formally related theoretically. This relation involves a knowledge of the distribution functions appropriate to a fluid under specific macroscopic conditions: the determination of the appropriate distribution functions for a specific fluid state is, therefore, one of the central problems of microscopic statistical physics. 36 STATISTICAL THEORY OF CLASSICAL FLUIDS If the particle interaction forces are primarily those between small groupings of particles, for instance between pairs of particles, a knowledge of the full phase distribution / ( i V ) may not always be necessary in the calculation of phase averages appropriate to certain physical situations.

R^). If the interaction between any two particles is not directly influenced by the presence of a third particle, the total potential Ψ can be replaced by the sum of the separate pair interactions. For this case2, Ψ(τΐ9 r 2 , r3, .. 1) where ψ is the interaction potential for the representative pair of particles i and j : ip is usually called the pair potential. 1) is to N(N-1) include all the contributions from the —L— pairs of particles that can be constructed from the N particles of the system.