Non-equilibrium phase transitions, coherence and chaos

Geoffrey Sewell

Banach Center Publications (1998)

  • Volume: 43, Issue: 1, page 349-358
  • ISSN: 0137-6934

Abstract

top
We present a scheme for the theory of phase transitions in open dissipative systems, and show that its demands are fulfilled by quantum stochastic models of open systems, such as the laser.

How to cite

top

Sewell, Geoffrey. "Non-equilibrium phase transitions, coherence and chaos." Banach Center Publications 43.1 (1998): 349-358. <http://eudml.org/doc/208856>.

@article{Sewell1998,
abstract = {We present a scheme for the theory of phase transitions in open dissipative systems, and show that its demands are fulfilled by quantum stochastic models of open systems, such as the laser.},
author = {Sewell, Geoffrey},
journal = {Banach Center Publications},
keywords = {phase transitions; open dissipative systems; quantum stochastic models},
language = {eng},
number = {1},
pages = {349-358},
title = {Non-equilibrium phase transitions, coherence and chaos},
url = {http://eudml.org/doc/208856},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Sewell, Geoffrey
TI - Non-equilibrium phase transitions, coherence and chaos
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 349
EP - 358
AB - We present a scheme for the theory of phase transitions in open dissipative systems, and show that its demands are fulfilled by quantum stochastic models of open systems, such as the laser.
LA - eng
KW - phase transitions; open dissipative systems; quantum stochastic models
UR - http://eudml.org/doc/208856
ER -

References

top
  1. [1] R. Graham and H. Haken, Z. Phys. 237 (1970), 31. 
  2. [2] H. Haken, Handbuch der Physik, Bd. XXV/2C, Springer, Heidelberg, Berlin, New York, 1970; and Rev. Mod. Phys. 47 (1975), 67. 
  3. [3] P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations, Wiley-Interscience, London, New York, Sidney, Toronto, 1974. 
  4. [4] H. Fröhlich, Int. J. Quant. Chem. 2 (1968), 641. 
  5. [5] K. Hepp and E. H. Lieb, Helv. Phys. Acta 46 (1973), 573; and J. Moser (ed.), Dynamical Systems, Theory and Applications, Springer Lecture Notes in Physics 38, Springer, Heidelberg, New York, 1975, pp. 178-208. 
  6. [6] G. Alli and G. L. Sewell, J. Math. Phys. 36 (1995), 5598. 
  7. [7] F. Bagarello and G. L. Sewell, J. Math. Phys. 39 (1998), 2730. 
  8. [8] G. L. Sewell, Helv. Phys. Acta 67 (1994), 4; and Lett. Mat. Phys. 40 (1997), 203. 
  9. [9] N. G. Duffield, Phys. Lett. 110 A (1985), 332; and J. Phys. A 21 (1988), 625. 
  10. [10] D. Ruelle, Statistical Mechanics, W. A. Benjamin Inc., New York, 1969. 
  11. [11] G. G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory, J. Wiley, New York, London, 1972. Zbl0235.46085
  12. [12] G. L. Sewell, Quantum Theory of Collective Phenomena, Oxford University Press, Oxford, New York, Toronto, 1989. 
  13. [13] O. E. Lanford and D. Ruelle, Commun. Math. Phys. 13 (1969), 194. 
  14. [14] H. Callen, Thermodynamics and an Introduction to Thermostatistics, J. Wiley, New York, Chichester, Brisbane, 1985. Zbl0989.80500
  15. [15] D. Ruelle and F. Takens, Commun. Math. Phys. 20 (1971), 167. Zbl0227.76084
  16. [16] P. Vanheuverzwijn, Ann. Inst. H. Poincare A 29 (1978), 123; Erratum ibid 30 (1979), 83; and B. de Moen, P. Vanheuverzwijn and A. Verbeure, Rep. Math. Phys. 15 (1979) 27. 
  17. [17] L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon, Oxford, New York, Toronto, Sydney, Paris, 1984. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.