A thermostatistical approach to scale-free networks

摘要: We describe an ensemble of growing scale-free networks in equilibrium framework, providing insight into why the exponent empirical nature is typically robust. In analogy to thermostatistics, canonical and microcanonical ensembles, we introduce a functional, whose maximum corresponds configuration. then identify equivalents energy, Zeroth-law, entropy heat capacity for networks. Discussing merging networks, also establish exact relation predict their final "equilibrium" degree exponent. All analytic results are complemented with Monte Carlo simulations. Our approach illustrates possibility apply tools statistical physics study properties it supports recent arguments on complementarity between nonequilibrium systems.