تقرير
Phenomenological picture of fluctuations in branching random walks
| العنوان: | Phenomenological picture of fluctuations in branching random walks |
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| المؤلفون: | Mueller, A. H., Munier, S. |
| المصدر: | Phys. Rev. E 90, 042143 (2014) |
| سنة النشر: | 2014 |
| المجموعة: | Condensed Matter High Energy Physics - Phenomenology |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks, High Energy Physics - Phenomenology |
| الوصف: | We propose a picture of the fluctuations in branching random walks, which leads to predictions for the distribution of a random variable that characterizes the position of the bulk of the particles. We also interpret the $1/\sqrt{t}$ correction to the average position of the rightmost particle of a branching random walk for large times $t\gg 1$, computed by Ebert and Van Saarloos, as fluctuations on top of the mean-field approximation of this process with a Brunet-Derrida cutoff at the tip that simulates discreteness. Our analytical formulas successfully compare to numerical simulations of a particular model of branching random walk. Comment: 32 pages, 6 figures. v2: one Appendix added to provide more calculation details, misprints corrected, figure layout improved. To appear in Phys.Rev.E |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.90.042143 |
| URL الوصول: | http://arxiv.org/abs/1404.5500 |
| رقم الأكسشن: | edsarx.1404.5500 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.90.042143 |
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