Passive advection of percolation process: Two-loop approximation

التفاصيل البيبلوغرافية
العنوان: Passive advection of percolation process: Two-loop approximation
المؤلفون: Birnšteinová, Š., Hnatič, M., Lučivjanský, T., Mižišin, L., Škultéty, V.
المصدر: Theor. Math. Phys. 200, (2019) 1335
سنة النشر: 2019
المجموعة: Condensed Matter
Nonlinear Sciences
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Chaotic Dynamics
الوصف: The paradigmatic model of the directed percolation process is studied near its second order phase transition between an absorbing and an active state. The model is first expressed in a form of Langevin equation and later rewritten into a field-theoretic formulation. The ensuing response functional is then analyzed employing Feynman diagrammatic technique and perturbative renormalization group method. Percolation process is assumed to occur in external velocity field, which has an additional effect on spreading properties. Kraichnan rapid change ensemble is used for generation of velocity fluctuations. The structure of the fixed points structure is obtained within the two-loop approximation.
Comment: Accepted for publication in Theor. Math. Phys
نوع الوثيقة: Working Paper
DOI: 10.1134/S0040577919090071
URL الوصول: http://arxiv.org/abs/1905.01237
رقم الأكسشن: edsarx.1905.01237
قاعدة البيانات: arXiv
الوصف
DOI:10.1134/S0040577919090071