تقرير
Flux-conserving directed percolation
| العنوان: | Flux-conserving directed percolation |
|---|---|
| المؤلفون: | Cucurull, Barto, Huber, Greg, Kawagoe, Kyle, Pradas, Marc, Pumir, Alain, Wilkinson, Michael |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks |
| الوصف: | We discuss a model for directed percolation in which the flux of material along each bond is a dynamical variable. The model includes a physically significant limiting case where the total flux of material is conserved. We show that the distribution of fluxes is asymptotic to a power law at small fluxes. We give an implicit equation for the exponent, in terms of probabilities characterising site occupations. In one dimension the site occupations are exactly independent, and the model is exactly solvable. In two dimensions, the independent-occupation assumption gives a good approximation. We explore the relationship between this model and traditional models for directed percolation. Comment: 30 pages, 16 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.01933 |
| رقم الأكسشن: | edsarx.2310.01933 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |