Abstract
We consider the phenomenon of dispersive optical bistability as an example of a non-equilibrium steady state lacking detailed balance. The Fokker Planck equation for the transmitted electromagnetic field is derived. For a special case of parameters we present an exact solution of the stationary distribution. In the limit of small fluctuations the Folkker Planck equation is reduced to the form of a Hamilton Jacobi equation for a, “non-equilibrium thermodynamic potential”. This equation is solved approximately by analytical methods. The “non-equilibrium thermodynamic potential” acts like a free energy for the first order type phase transitions far from thermodynamic equilibrium lacking the property of detailed balance.
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© 1981 Plenum Press, New York
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Graham, R., Schenzle, A. (1981). Dispersive Optical Bistability with Fluctuations. In: Bowden, C.M., Ciftan, M., Robl, H.R. (eds) Optical Bistability. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3941-0_18
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DOI: https://doi.org/10.1007/978-1-4684-3941-0_18
Publisher Name: Springer, Boston, MA
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