Classical-map hypernetted-chain method: Difference between revisions

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Revision as of 09:48, 27 August 2007

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method (HNC) introduced by van Leeuwen et al.<ref>J. M. J. van Leeuwen, J. Groenveld, J. de Boer: Physica '''25''', 792 (1959)</ref> to [[quantum fluid]]s as well. The classical HNC, together with the Percus-Yevik (PY) equation, are the two pillars which bear the brunt of most calculations in the theory of interacting [[classical fluids]]. Also, HNC and PY have become important in providing basic reference schemes in the theory of fluids<ref> R. Balescu, ''Equilibrium and Non-equilibrium Statistical Mechanics'' (Wiley 1975) p257-277 </ref>, and hence they are of great importance to the physics of many-particle systems.

The HNC and PY intergralintegral equations provide the pair-distribution functions of the particles in a classical fluid, even for very high coupling strengths. The coupling strength is measured by the ratio of the potential energy to the kinetic energy. In a classical fluid, the kinetic energy is proportional to the temperature. In a quantum fluid, the situation is very complicated as one needs to deal with quantum operators, and matrix elements of such operators, which appear in various perturbation methods based on [[Feynman]] diagrams.

The CHNC method provides an approximate "escape" from these difficulties, and applies to regimes beyond perturbation theory.

In [[Laughlin]]'s famous Nobel Laureate work on the fractional

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== References ==

{{reflist}}

==See Alsoalso==

[[Fermi liquid]]

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[[Category:Theoretical physics]]

[[categoryCategory:Classical fluids]]

[[Category:Quantum fluids]]