تقرير
Open reaction-diffusion systems: bridging probabilistic theory across scales
| العنوان: | Open reaction-diffusion systems: bridging probabilistic theory across scales |
|---|---|
| المؤلفون: | del Razo, Mauricio J. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Physics (Other) Quantitative Biology |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics, Physics - Chemical Physics, Quantitative Biology - Quantitative Methods, 82Dxx, 82-10, 92-10, 60Gxx, 37N05, 65Pxx, 60-08, J.2, J.3, G.3 |
| الوصف: | Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual particle/agent level, and in realistic applications, they often display interaction with their environment through energy or material exchange with a reservoir. This requires intricate mathematical considerations, especially in the case of material exchange since the varying number of particles/agents results in ``on-the-fly'' modification of the system dimension. In this work, we first overview the probabilistic description of reaction-diffusion processes at the particle level, which readily handles varying numbers of particles. We then extend this model to consistently incorporate interactions with macroscopic material reservoirs. Based on the resulting expressions, we bridge the probabilistic description with macroscopic concentration-based descriptions for linear and nonlinear reaction-diffusion systems, as well as for an archetypal open reaction-diffusion system. This establishes a methodological workflow to bridge particle-based probabilistic descriptions with macroscopic concentration-based descriptions of reaction-diffusion in open settings, laying the foundations for a multiscale theoretical framework upon which to construct theory and simulation schemes that are consistent across scales. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.07119 |
| رقم الأكسشن: | edsarx.2404.07119 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |