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. 2003 Nov;68(5 Pt 2):056118.
doi: 10.1103/PhysRevE.68.056118. Epub 2003 Nov 21.

Bose-Einstein condensation in random directed networks

O Sotolongo-Costa  1 , G J Rodgers
Affiliations

Bose-Einstein condensation in random directed networks

O Sotolongo-Costa et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Nov.

Abstract

We consider the phenomenon of Bose-Einstein condensation in a random growing directed network. The network grows by the addition of vertices and edges. At each time step the network gains a vertex with probability p and an edge with probability 1-p. The new vertex has a fitness (a,b) a,b>0, with probability f(a,b). A vertex with fitness (a,b), with 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).

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