28 citations · 59 across the 8 of their papers we have counts for
10 papers
Quantum Probability and the Born Ensemble
Themis Matsoukas
We formulate a discrete two-state stochastic process with elementary rules that give rise to Born statistics and reproduce the probabilities from the Schrödinger equation under an…
The Fragmentation Kernel in Multinary/Multicomponent Fragmentation
Themis Matsoukas
The fragmentation equation is commonly expressed in terms of two functions, the rate of fragmentation and the mean number of fragments. In the case of binary fragmentation an alter…
Stochastic Processes and Statistical Mechanics
Themis Matsoukas
Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elega…
The Smoluchowski Ensemble: Statistical Mechanics of Aggregation
Themis Matsoukas
We present a rigorous thermodynamic treatment of irreversible binary aggregation. We construct the Smoluchowski ensemble as the set of discrete finite distributions generated from…
Thermodynamics and the Evolution of Stochastic Populations
Themis Matsoukas
The appeal of thermodynamics to problems outside physics is undeniable, as is the growing recognition of its apparent universality, yet in the absence of a rigorous formalism divor…
Statistical Mechanics of Discrete Multicomponent Fragmentation
Themis Matsoukas
We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible dis…