Abstract
It has become clear in recent years that bistable macrosystems play a fundamental role in many fields of physics, chemistry, biology and also sociology. Among the vast literature we mention only a few: BROWNIAN motion in a field of force [l], fluctuations in tunnel diodes [2] and cooperative phenomena in data processing [3] one-mode laser [4], optical bistability [5], autocatalytic chemical reactions[6] and interacting social groups [7].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.A. Kramers, Physica 7: 284 (1940)
R. Landauer and J.A. Swanson, Phys. Rev. 121: 1668 (1961); R.Landauer, J.Phys.Soc.Japan 41: 695 (1976)
R. Landauer and J.W.F. Woo, in “Synergetics”, H.Haken, ed. ( Teubner, Stuttgart 1973 )
H. Haken, Synergetics, An Introduction, 2nd ed., Springer Series in Synergetics, Vol. 1 ( Springer Berlin, Heidelberg, New York 1978 )
R. Bonifacio et al., IEEE Journal of Quantum Electronics, QE-17: 357(1981) and references therein
F. Schlögl, Z. Phys. 253: 147 (1972); I.Matheson, D.F.Walls and C.W.Gardiner, J.Stat.Phys. 12: 21 (1975)
W. Weidlich, “Progress in Synergetics” (Erice Summer School, 1974 ), H. Haken, ed. ( North-Holland, Amsterdam, 1974 )
M. Suzuki, J.Stat.Phys. 16: 11 (1977); M. Suzuki, in Systems Far From Equilibrium, 1980 Sitges Int. Conf. on Statistical Mechanics, ed. by L. Garrido, Lecture Notes in Physics, Vol. 132 ( Springer Berlin, Heidelberg, New York 1980 )
F. Haake, Phys.Rev.Lett. 41: 1685 (1978); F. de Pasquale and P.Tombesi, Phys.Lett. 72A: 45 (1979)
B. Caroli, C. Caroli and B. Roulet, J.Stat.Phys. 21: 415 (1979)
U. Weiss and W. Haeffner, in “Functional Integration”, ed. by J.P. Antoine and E. Tirapegui ( Plenum, New York, 1980 )
R.S. Larson and M.D. Kostin, J. Chem. Phys. 69: 4821 (1978); W.Weidlich and H.Grabert, Z.Phys. B36: 283 (1980); W.Bez and P.Talkner, Phys.Lett. 82A: 313 (1981)
B. Caroli, C. Caroli and B. Roulet, “Diffusion in a Bistable Potential: The Functional Integral Approach”, preprint 1980
J.L. Gervais and B. Sakita, Phys.Rev. D11: 2943 (1975)
A.M. Polyakov, Nucl. Phys. B121: 429 (1977); E. Gildener and A. Patrascioiu, Phys. Rev. D16: 423 (1977)
S. Coleman, “The Uses of Instantons”, Lectures delivered at the 1977 International School of Subnuclear Physics, Ettore Majorana,(Plenum, New York 1979 )
J.H. van Vleck, Proc. Natl. Acad. Sci. 14: 178(1928); F.Langouche, D. Roekaerts and E. Tirapegui, Physi ca97A: 195(1979)
U. Weiss, to be published
M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, ( Dover Publications, New York, 1965 )
R.F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D10, 4114 (1974)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Weiss, U. (1981). The Uses of Path Integrals for Diffusion in Bistable Potentials. In: Haken, H. (eds) Chaos and Order in Nature. Springer Series in Synergetics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68304-6_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-68304-6_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-68306-0
Online ISBN: 978-3-642-68304-6
eBook Packages: Springer Book Archive