A model of dense fluids

R. Streater

Banach Center Publications (1998)

  • Volume: 43, Issue: 1, page 381-393
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

Streater, R.. "A model of dense fluids." Banach Center Publications 43.1 (1998): 381-393. <http://eudml.org/doc/208859>.

@article{Streater1998,
abstract = {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.},
author = {Streater, R.},
journal = {Banach Center Publications},
keywords = {coupled reaction-diffusion equations for density and temperature; discrete model; methods of statistical dynamics; first and second laws of thermodynamics},
language = {eng},
number = {1},
pages = {381-393},
title = {A model of dense fluids},
url = {http://eudml.org/doc/208859},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Streater, R.
TI - A model of dense fluids
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 381
EP - 393
AB - 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.
LA - eng
KW - coupled reaction-diffusion equations for density and temperature; discrete model; methods of statistical dynamics; first and second laws of thermodynamics
UR - http://eudml.org/doc/208859
ER -

References

top
  1. [1] S.-i. Amari, Differential Geometric Methods in Statistics, Lecture Notes in Statistics, 28, Springer-Verlag, Berlin, 1985. 
  2. [2] R. Balian, Y. Alhassid and H. Reinhardt, Physics Reports 131, 2-146, North Holland (1986). 
  3. [3] A. Fick, On Liquid Diffusion, Phil. Mag. 10 (4th series) (1855), 30-35. 
  4. [4] H. Hasagawa, Rep. Math. Phys. 33 (1993), 87. 
  5. [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. [6] H. Hasagawa, Rep. Math. Phys. 39 (1997), 49-68. 
  7. [7] H. Nagaoka, IEICE Tech. Report 89 (1989), 9. 
  8. [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. Zbl0942.81585
  9. [9] R. F. Streater, Statistical Dynamics, Rep. Math. Phys. 33 (1993), 203-219. Zbl0817.60098
  10. [10] R. F. Streater, Convection in a gravitational field, J. Stat. Phys. 77 (1994), 441-448. Zbl0837.60098
  11. [11] R. F. Streater, Statistical Dynamics, pp 275, Imperial College Press, 1995. Zbl0822.60093
  12. [12] R. F. Streater, Information Geometry and Reduced Quantum Description, Rep. Math. Phys. 38 (1996), 419-436. Zbl0888.46053
  13. [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. Zbl0892.60095
  14. [14] R. F. Streater, A gas of Brownian particles in statistical dynamics, J. Stat. Phys. 88 (1997), 447-469. Zbl0939.82026
  15. [15] R. F. Streater, Nonlinear heat equations, to appear in Rep. Math. Phys. Zbl0907.60094
  16. [16] R. F. Streater, Dynamics of Brownian particles in a potential, J. Math. Phys. 38(9) (1997), 4570-4575. Zbl0887.58063

NotesEmbed ?

top

You must be logged in to post comments.