تقرير
Enhancement of stability of metastable states in the presence of L\'{e}vy noise
| العنوان: | Enhancement of stability of metastable states in the presence of L\'{e}vy noise |
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| المؤلفون: | Dubkov, A. A., Guarcello, C., Spagnolo, B. |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics |
| الوصف: | The barrier crossing event for superdiffusion in the form of symmetric L\'{e}vy flights is investigated. We derive from the fractional Fokker-Planck equation a general differential equation with the corresponding conditions useful to calculate the mean residence time of a particle in a fixed interval for an arbitrary smooth potential profile, in particular metastable, with a sink and a L\'{e}vy noise with an arbitrary index $\alpha$. A closed expression in quadrature of the nonlinear relaxation time for L\'{e}vy flights with the index $\alpha =1$ in cubic metastable potential is obtained. Enhancement of the mean residence time in the metastable state, analytically derived, due to L\'{e}vy noise is found. Comment: 7 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2311.13464Test |
| رقم الانضمام: | edsarx.2311.13464 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |