کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7375634 1480073 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Patterns of a spatial exploration under time evolution of the attractiveness: Persistent nodes, degree distribution, and spectral properties
ترجمه فارسی عنوان
الگوهای اکتشاف فضایی تحت تکامل زمان جذابیت: گره های پایدار، توزیع درجه و خواص طیفی
کلمات کلیدی
اکتشاف فضایی، ماندگاری، شبکه های، ماتریسهای تصادفی،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
This work explores the features of a graph generated by agents that hop from one node to another node, where the nodes have evolutionary attractiveness. The jumps are governed by Boltzmann-like transition probabilities that depend both on the euclidean distance between the nodes and on the ratio (β) of the attractiveness between them. It is shown that persistent nodes, i.e., nodes that never been reached by this special random walk are possible in the stationary limit differently from the case where the attractiveness is fixed and equal to one for all nodes (β=1). Simultaneously, one also investigates the spectral properties and statistics related to the attractiveness and degree distribution of the evolutionary network. Finally, a study of the crossover between persistent phase and no persistent phase was performed and it was also observed the existence of a special type of transition probability which leads to a power law behaviour for the time evolution of the persistence.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 500, 15 June 2018, Pages 60-71
نویسندگان
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