Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Statistical Dynamics of the Gunn Instability near Threshold
Ki-ichi Nakamura
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ジャーナル 認証あり

1975 年 38 巻 1 号 p. 46-50

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The threshold behavior of the Gunn instability is investigated. A coupled mode equation for the fluctuating electric field is reduced to a nonlinear Langevin equation that describes the stochastic motion of a single mode. The steady-state probability density for the field fluctuations is expressed in a simple exponential form, as in the case of a single mode laser. It is found that the probability density has two peaks in a region below threshold, one of which appears at the zero field and the other at a nonzero value of the field intensity. This gives rise to a hysteresis effect for the threshold behavior of the Gunn instability. The conclusion is that the Gunn instability is an example of first-order phase transitions in systems far from thermal equilibrium.
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