Stochastic Chemical Kinetics with Energy Parameters
Guy Fayolle (INRIA Rocquencourt), Vadim Malyshev, Serguei Pirogov
TL;DR
This paper introduces new stochastic chemical kinetics models incorporating energy parameters, identifies conditions for product form measures, and explicitly finds invariant measures with convergence proofs.
Contribution
It presents novel models of energy redistribution in stochastic chemical kinetics and characterizes their invariant measures and convergence properties.
Findings
Explicit invariant measures for certain models
Conditions for product form measures identified
Proven convergence to invariant measures
Abstract
Abstact: We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations when there are product form measures. Using a probabilistic interpretation of the related Boltzmann equation, we find some invariant measures explicitly and prove convergence to them.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGas Dynamics and Kinetic Theory · Advanced Thermodynamics and Statistical Mechanics · Mathematical Biology Tumor Growth