Statistical approach to the domain of action of collective co-ordinates in the many body problem

Percus, J. K.; Yevick, George J.

doi:10.1007/bf02731613

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Nuovo Cim

1957

DOI: 10.1007/bf02731613

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Statistical approach to the domain of action of collective co-ordinates in the many body problem

J. K. Percus

George J. Yevick

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Cited by 4 publications

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A derivation of the hydrodynamic equations from the equations of motion of collective coordinates

Jepsen

Haar

1962

Physica

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A derivation of the hydrodynamic equations from the equations of motion of collective coordinates

Jepsen

Haar

1962

Physica

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Linked cluster expansions in the density fluctuation formulation of the many-body problem

Campbell

1975

Journal of Mathematical Physics

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A perturbation theory is developed for the logarithm of the normalization integral (or partition function) of an N-body system which is either a Bose liquid in its ground state or a classical fluid in the canonical ensemble. The perturbation in the former is an n-body factor in the ground state wavefunction and in the latter is an n-body potential. The normalization function serves as a generating function for the cumulants (or static correlation functions) of the density fluctuation operator ρk. The expansions of the perturbed partition function and correlation functions are shown to be linked cluster expansions involving the correlation functions in the unperturbed system; each term in these expansions is manifestly of the proper order in N. Several approximations involving truncations of the cumulants and/or resummation of part of the terms in the linked cluster expansions are discussed.

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Principle of corresponding states for hard polyhedron fluids

Glotzer

2019

Molecular Physics

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Statistical approach to the domain of action of collective co-ordinates in the many body problem

Cited by 4 publications

References 3 publications

A derivation of the hydrodynamic equations from the equations of motion of collective coordinates

A derivation of the hydrodynamic equations from the equations of motion of collective coordinates

Linked cluster expansions in the density fluctuation formulation of the many-body problem

Principle of corresponding states for hard polyhedron fluids

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