3 articles for “Renormalization Group”

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Research ArticleOpen accessPhrase in the titleConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,012 accessesView PDF Cite

Research ArticleOpen accessIn the abstractConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDF Cite

Research ArticleOpen accessIn the abstractEffect of Wall Roughness and Concentration of Clay on Erosion in the Hole Erosion TestKissi Benaissa, Parron Vera Miguel Angel, Rubio Cintas Maria Dolores et al.Problem statement: Internal soil erosion is a real threat for hydraulic infrastructures. In its final stage it develops in piping involving the formation and progression of a continuous void inside the soil between the upstream and downstream sides. The hole erosion test was introduced to characterize kinematics of piping in terms of the time left to rupture. Actual modeling approaches … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 4 · 22 Nov 2010 · 8,506 accessesView PDF Cite