Strong and weak field criticality of 2D liquid gas transition

Max Yarmolinsky; Anatoly Kuklov

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arXiv · 1806.10590

Strong and weak field criticality of 2D liquid gas transition

Max Yarmolinsky·Anatoly Kuklov

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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 $\mu,\, \nu$ 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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Max Yarmolinsky, Anatoly Kuklov. 2018-06-27. Strong and weak field criticality of 2D liquid gas transition. https://arxiv.org/abs/1806.10590

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