4 papers · 2 filters
The variational principle for a marked Gibbs point process with infinite-range multibody interactions
Benedikt Jahnel, Jonas Köppl, Yannic Steenbeck +1
We prove the Gibbs variational principle for the Asakura--Oosawa model in which particles of random size obey a hardcore constraint of non-overlap and are additionally subject to a…
Dynamical Gibbs Variational Principles for Irreversible Interacting Particle Systems with Applications to Attractor Properties
Benedikt Jahnel, Jonas Köppl
We consider irreversible translation-invariant interacting particle systems on the -dimensional cubic lattice with finite local state space, which admit at least one Gibbs measu…
Reversible birth-and-death dynamics in continuum: free-energy dissipation and attractor properties
Yannic Steenbeck, Alexander Zass, Jonas Köppl +1
We consider continuous-time birth-and-death dynamics in that admit at least one infinite-volume Gibbs point process based on area interactions as a reversible measur…
On the long-time behaviour of reversible interacting particle systems in one and two dimensions
Benedikt Jahnel, Jonas Köppl
By refining Holley's free energy technique, we show that, under quite general assumptions on the dynamics, the attractor of a (possibly non-translation-invariant) interacting parti…