Equilibrium distributions in entropy driven balanced processes

Abstract

For entropy driven balanced processes we obtain final states with Poisson, Bernoulli, negative binomial and Pólya distributions. We apply this both for complex networks and particle production. For random networks we follow the evolution of the degree distribution, $P_n$, in a system where a node can activate $k$ fixed connections from $K$ possible partnerships among all nodes. The total number of connections, $N$, is also fixed. For particle physics problems $P_n$ is the probability of having $n$ particles (or other quanta) distributed among $k$ states (phase space cells) while altogether a fixed number of $N$ particles reside on $K$ states.

12 pages no figures

References in corpus (5)

• Zeroth Law compatibility of non-additive thermodynamics
• Unified model for network dynamics exhibiting nonextensive statistics
• Statistical Power Law due to Reservoir Fluctuations and the Universal Thermostat Independence Principle
• Reducing Degeneracy in Maximum Entropy Models of Networks
• Abstract composition rule for relativistic kinetic energy in the thermodynamical limit

Cited by in corpus (1)

• Dynamical Stationarity as a Result of Sustained Random Growth