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Equivalence and nonequivalence of ensembles: Thermodynamic, macrostate, and measure levels
We present general and rigorous results showing that the microcanonical and canonical
ensembles are equivalent at all three levels of description considered in statistical …
ensembles are equivalent at all three levels of description considered in statistical …
Anomalous scaling of dynamical large deviations
The typical values and fluctuations of time-integrated observables of nonequilibrium
processes driven in steady states are known to be characterized by large deviation …
processes driven in steady states are known to be characterized by large deviation …
Metastable markov chains
C Landim - 2019 - projecteuclid.org
Metastable Markov chains Page 1 Probability Surveys Vol. 16 (2019) 143–227 ISSN: 1549-5787
https://doi.org/10.1214/18-PS310 Metastable Markov chains Claudio Landim IMPA, Estrada …
https://doi.org/10.1214/18-PS310 Metastable Markov chains Claudio Landim IMPA, Estrada …
Condensation and metastable behavior of non-reversible inclusion processes
In this article, we perform quantitative analyses of metastable behavior of an interacting
particle system known as the inclusion process. For inclusion processes, it is widely …
particle system known as the inclusion process. For inclusion processes, it is widely …
Yang-Lee zeros for real-space condensation
Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero
distribution in the random allocation model of general weights. This exhibits a real-space …
distribution in the random allocation model of general weights. This exhibits a real-space …
Random allocation models in the thermodynamic limit
We discuss the phase transition and critical exponents in the random allocation model (urn
model) for different statistical ensembles. We provide a unified presentation of the statistical …
model) for different statistical ensembles. We provide a unified presentation of the statistical …
On a class of solvable stationary non equilibrium states for mass exchange models
We consider a family of models having an arbitrary positive amount of mass on each site
and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We …
and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We …
Variational convergence of exchange-driven stochastic particle systems in the thermodynamic limit
We consider the thermodynamic limit of mean-field stochastic particle systems on a
complete graph. The evolution of occupation number at each vertex is driven by particle …
complete graph. The evolution of occupation number at each vertex is driven by particle …
Structure of the condensed phase in the inclusion process
We establish a complete picture of condensation in the inclusion process in the
thermodynamic limit with vanishing diffusion, covering all scaling regimes of the diffusion …
thermodynamic limit with vanishing diffusion, covering all scaling regimes of the diffusion …
Size-biased diffusion limits and the inclusion process
We consider the inclusion process on the complete graph with vanishing diffusivity, which
leads to condensation of particles in the thermodynamic limit. Describing particle …
leads to condensation of particles in the thermodynamic limit. Describing particle …