تقرير
Time and space generalized diffusion equation on graphs/networks
| العنوان: | Time and space generalized diffusion equation on graphs/networks |
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| المؤلفون: | Diaz-Diaz, Fernando, Estrada, Ernesto |
| المصدر: | Chaos, Solitons and Fractals 156 111791 (2022) |
| سنة النشر: | 2022 |
| المجموعة: | Condensed Matter Physics (Other) |
| مصطلحات موضوعية: | Physics - Physics and Society, Condensed Matter - Disordered Systems and Neural Networks, Physics - Biological Physics |
| الوصف: | Normal and anomalous diffusion are ubiquitous in many complex systems [1] . Here, we define a time and space generalized diffusion equation (GDE), which uses fractional-time derivatives and transformed d-path Laplacian operators on graphs/networks. We find analytically the solution of this equation and prove that it covers the regimes of normal, sub- and superdiffusion as a function of the two parameters of the model. We extend the GDE to consider a system with temporal alternancy of normal and anomalous diffusion which can be observed for instance in the diffusion of proteins along a DNA chain. We perform computational experiments on a one-dimensional system emulating a linear DNA chain. It is shown that a subdiffusive-superdiffusive alternant regime allows the diffusive particle to explore more slowly small regions of the chain with a faster global exploration, than a subdiffusive-subdiffusive regime. Therefore, an alternancy of sliding (subdiffusive) with hopping and intersegmental transfer (superdiffusive) mechanisms show important advances for protein-DNA interactions. Comment: 15 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.chaos.2022.111791 |
| URL الوصول: | http://arxiv.org/abs/2202.00318 |
| رقم الأكسشن: | edsarx.2202.00318 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.chaos.2022.111791 |
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