Report
Box-scaling as a proxy of finite-size correlations
| العنوان: | Box-scaling as a proxy of finite-size correlations |
|---|---|
| المؤلفون: | Martin, Daniel A., Ribeiro, Tiago L., Cannas, Sergio A., Grigera, Tomas S., Plenz, Dietmar, Chialvo, Dante R. |
| سنة النشر: | 2020 |
| المجموعة: | Condensed Matter Quantitative Biology |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks, Quantitative Biology - Neurons and Cognition |
| الوصف: | The scaling of correlations as a function of system size provides important hints to understand critical phenomena on a variety of systems. Its study in biological systems offers two challenges: usually they are not of infinite size, and in the majority of cases sizes can not be varied at will. Here we discuss how finite-size scaling can be approximated in an experimental system of fixed and relatively small size by computing correlations inside of a reduced field of view of various sizes (i.e., "box-scaling"). Numerical simulations of a neuronal network are used to verify such approximation, as well as the ferromagnetic 2D Ising model. The numerical results support the validity of the heuristic approach, which should be useful to characterize relevant aspects of critical phenomena in biological systems. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2007.08236 |
| رقم الانضمام: | edsarx.2007.08236 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |