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Strong and weak field criticality of 2D liquid gas transition

2018/06/27 by Max Yarmolinsky, Yarmolinsky, Max, Anatoly Kuklov +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Meteorological Phenomena and Simulations #Phase Equilibria and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1806.10590

arxiv created 2018/06/27 · openalex publication_date 2018/06/27 · arxiv updated 2018/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Finite size scaling (FSS) analysis of the liquid gas criticality is complicated by the absence of any broken symmetry. This, in particular, does not allow a straightforward finding of the coexistence line and the critical point. The numerical flowgram (NF) method is adapted for a controlled determination of the coexistence line and the critical point, with the critical indices μ, ν measured within 1-2% of the total error. The approach based on the NF for measuring the non-analytical corrections to the diameter - the mean density of the liquid and gas phases along the coexistence line - is outlined. Our analysis is a first step toward a general evaluation of isolated critical and multicritical points.

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