The nature of the rectilinear diameter singularity

dc.creatorKulinskii, V. L.
dc.creatorMalomuzh, N. P.
dc.date2007-03-17
dc.date2008-12-27
dc.date.accessioned2026-07-07T12:22:07Z
dc.date.available2026-07-07T12:22:07Z
dc.descriptionThe rigorous explanation for the term $| t |^{2β}$ in the rectilinear diameter equation is given ($t = (T_c-T)/T_c$, $β$ is the critical exponent for the asymptotic form of the equation of state). The optimal order parameter, for which the branches of binodal are symmetric is constructed within the canonical formalism. It is shown that the ratio of the amplitudes $\f{D_{2β}}{D_{1-α}}$ before $|t|^{2β}$ and $|t|^{1-α}$ where $α$ determines the behavior of the heat capacity, takes the universal character. The analysis of entropy for argon and water leads to $β= 0.33$ and $\f{D_{2-β}}{D_{1-α}}\approx - 3.5$.
dc.description6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0703459
dc.identifierhttp://arxiv.org/abs/cond-mat/0703459
dc.identifierPhysica A: Statistical Mechanics and its Applications 388 (2009) pp. 621-627
dc.identifierdoi:10.1016/j.physa.2008.11.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213546
dc.subjectStatistical Mechanics
dc.titleThe nature of the rectilinear diameter singularity
dc.typetext

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