Abstract
We study a Fermi gas with general translation-invariant many-body interactions on a (v≥3)-dimensional lattice. A complete analysis is given of the perturbative terms up to second order and the program put forward by N. M. Hugenholtz for the derivative of the Boltzmann equation is verified to second order.
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References
N. M. Hugenholtz, Derivation of the Boltzmann equation for a Fermi gas,J. Stat. Phys. 32:231 (1983).
N. M. Hugenholtz, How theC *-algebraic formulation of statistical mechanics helps understanding the approach to equilibrium, inAMS Contemporary Mathematics, Vol. 62, P. E. T. Jorgensen and P. S. Muhly, eds. (American Mathematical Society, Providence, Rhode Island, 1987), p. 167.
T. G. Ho, L. J. Landau, and A. J. Wilkins, On the weak coupling limit for a Fermi gas in a random potential,Rev. Math. Phys. 5:209 (1992).
N. Bleistein and R. H. Handelsman,Asymptotic Expansions of Integrals (Holt Rinehart and Wilson, New York, 1975).
L. J. Landau and J. Luswili, In preparation.
B. J. Stoyanov and R. A. Farrel, On the asymptotic evoluation of ∫ π/20 J 20 (λsinx)dx,Math. Comp. 49:275 (1977).
T. G. Ho, Ph.D. Thesis, King's College London (1993).
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Ho, T.G., Landau, L.J. Fermi gas on a lattice in the van Hove limit. J Stat Phys 87, 821–845 (1997). https://doi.org/10.1007/BF02181246
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DOI: https://doi.org/10.1007/BF02181246