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http://bura.brunel.ac.uk/handle/2438/290
Title: | Bose-Einstein condensation in random directed networks |
Authors: | Sotolongo-Costa, O Rodgers, GJ |
Keywords: | Statistical mechanics;Bose-Einstein condensation |
Issue Date: | 2004 |
Publisher: | American Physical Society |
Citation: | Oscar Sotolongo-Costa, G. J. Rodgers, Bose-Einstein condensation in random directed networks, Physical Review E, 68 (5), Jun 2004 |
Abstract: | We consider the phenomenon of Bose-Einstein condensation in a random growing directed net- work. The network grows by the addition of vertices and edges. At each time step the network gains a vertex with probabilty p and an edge with probability 1 − p. The new vertex has a fitness (a, b) with probability f(a, b). A vertex with fitness (a, b), in-degree i and out-degree j gains a new incoming edge with rate a(i + 1) and an outgoing edge with rate b(j + 1). The Bose-Einstein condensation occurs as a function of fitness distribution f(a, b). |
URI: | https://bura.brunel.ac.uk/handle/2438/290 |
DOI: | https://doi.org/10.1103/PhysRevE.68.056118 |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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