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1998 | 43 | 1 | 381-393
Tytuł artykułu

A model of dense fluids

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We obtain coupled reaction-diffusion equations for the density and temperature of a dense fluid, starting from a discrete model in which at most one particle can be present at each site. The model is constructed by the methods of statistical dynamics. We verify that the theory obeys the first and second laws of thermodynamics. Some remarks on measurement theory for the position of a particle are offered.
Słowa kluczowe
Rocznik
Tom
43
Numer
1
Strony
381-393
Opis fizyczny
Daty
wydano
1998
Twórcy
  • Department of Mathematics, King's College, Strand, London
Bibliografia
  • [1] S.-i. Amari, Differential Geometric Methods in Statistics, Lecture Notes in Statistics, 28, Springer-Verlag, Berlin, 1985.
  • [2] R. Balian, Y. Alhassid and H. Reinhardt, Physics Reports 131, 2-146, North Holland (1986).
  • [3] A. Fick, On Liquid Diffusion, Phil. Mag. 10 (4th series) (1855), 30-35.
  • [4] H. Hasagawa, Rep. Math. Phys. 33 (1993), 87.
  • [5] H. Hasagawa, Noncommutative extension of the information geometry, in: Quantum Communication and Measurement, Eds. V. P. Belavkin, O. Hirota, and R. L. Hudson, Plenum Press, New York, (1995); 327.
  • [6] H. Hasagawa, Rep. Math. Phys. 39 (1997), 49-68.
  • [7] H. Nagaoka, IEICE Tech. Report 89 (1989), 9.
  • [8] H. Nagaoka, Differential geometrical aspects of quantum state estimation and relative entropy, in: Quantum Communication and Measurement, Eds. V. P. Belavkin, O. Hirota and R. L. Hudson, Plenum Press, new York (1995), 449.
  • [9] R. F. Streater, Statistical Dynamics, Rep. Math. Phys. 33 (1993), 203-219.
  • [10] R. F. Streater, Convection in a gravitational field, J. Stat. Phys. 77 (1994), 441-448.
  • [11] R. F. Streater, Statistical Dynamics, pp 275, Imperial College Press, 1995.
  • [12] R. F. Streater, Information Geometry and Reduced Quantum Description, Rep. Math. Phys. 38 (1996), 419-436.
  • [13] R. F. Streater, Statistical Dynamics and Information Geometry, in: Geometry and Nature, Eds. H. Nencka and J.-P. Bourguignon, Contemporary Mathematics 203, 117-131, 1997. Amer. Math. Soc.
  • [14] R. F. Streater, A gas of Brownian particles in statistical dynamics, J. Stat. Phys. 88 (1997), 447-469.
  • [15] R. F. Streater, Nonlinear heat equations, to appear in Rep. Math. Phys.
  • [16] R. F. Streater, Dynamics of Brownian particles in a potential, J. Math. Phys. 38(9) (1997), 4570-4575.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv43i1p381bwm
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