2015/12/02 by Elena Pulvirenti, Dimitrios Tsagkarogiannis, Pulvirenti, Elena +1
Materials Science · Mathematics · Physics and Astronomy · #82B05 #FOS: Physical sciences #Material Dynamics and Properties #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #msc:82B05
paper · pdf · doi:10.48550/arxiv.1512.00781
16 pages. Submitted to the Proceedings for PS-PDEs III (Braga, 17-19 December 2014)
arxiv created 2015/12/02 · openalex publication_date 2015/12/02 · arxiv updated 2015/12/03 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We revisit the proof of the liquid-vapor phase transition for systems with finite-range interaction by Lebowitz, Mazel and Presutti and extend it to the case where we additionally include a hard-core interaction to the Hamiltonian. We establish the phase transition for the mean field limit and then we also prove it when the interaction range is long but finite, by perturbing around the mean-field theory. A key step in this procedure is the construction of a density (coarse-grained) model via cluster expansion. In this note we present the overall result but we mainly focus on this last issue.