Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model

التفاصيل البيبلوغرافية
العنوان: Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model
المؤلفون: Wu, X. T., Abraham, D. B., Indekeu, J. O.
المصدر: Phys. Rev. Lett. 116, 046101 (2016)
سنة النشر: 2014
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics
الوصف: The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included. The wetting transition is critical (second order) for any finite ratio of surface coupling J_s to bulk coupling J, and turns first order in the limit J_s/J to infinity. However, for J_s/J much larger than 1 the critical region is exponentially small and practically invisible to numerical studies. A distinct pre-asymptotic regime exists in which the transition displays first-order character. Surprisingly, in this regime the surface susceptibility and surface specific heat develop a divergence and show anomalous scaling with an exponent equal to 3/2.
Comment: This new version presents the exact solution and its properties whereas the older version was based on an approximate numerical study of the model
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevLett.116.046101
URL الوصول: http://arxiv.org/abs/1410.8574
رقم الأكسشن: edsarx.1410.8574
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevLett.116.046101