Non-equilibrium Phase Transitions in a Single-Mode Laser Model Driven by Non-Gaussian Noise
The non-equilibrium phase transition of a single-mode laser model driven by non-Gaussian noise is studied in this paper. The stationary probability distribution (SPD) and its extremal equation are derived by using the path integral approach and the unified colored noise approximation. It is found that there is a critical relation between the noise intensity and the correlation time so that there is a transition line separating the mono-stable region and the bi-stable region. Given the noise intensity and the correlation time, the single-mode laser system undergoes a successive phase transition by varying the departure of the non-Gaussian noise from the Gaussian noise. Meanwhile, as indicated in the phase diagram, when the noise intensity and the correlation time are varied, the system undergoes a reentrance phenomenon.
This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 10702025, 10972032, and 70771005, in part by the Excellent Young Scholars Research Fund of Beijing Institute of Technology under Grant No. 2008Y0175, Beijing Municipal Commission of Education Project under Grant No. 20080739027, and the Ministry of Education Foundation of China under Grant No. 20070004045.
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