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Related papers: Blume-Emery-Griffiths Model in a Random Crystal Fi…

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A percolation argument and a dilute compressible random field Ising model are used to present a simple model for mixed cyanide crystals. The model reproduces quantitatively several features of the phase diagrams altough some crude…

Disordered Systems and Neural Networks · Physics 2016-08-31 Serge Galam

We have revisited the mean-field treatment for the Blume-Capel model under the presence of a discrete random magnetic field as introduced by Kaufman and Kanner. The magnetic field ($H$) versus temperature ($T$) phase diagrams for given…

Statistical Mechanics · Physics 2018-03-14 P. V. Santos , F. A. da Costa , J. M. de Araújo

The universal critical behavior of the driven-dissipative non-equilibrium Bose-Einstein condensation transition is investigated employing the field-theoretical renormalization group method. Such criticality may be realized in broad ranges…

Statistical Mechanics · Physics 2014-04-18 Uwe C. Tauber , Sebastian Diehl

We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalization group (RG) methods. We show that the presence of a…

Pattern Formation and Solitons · Physics 2007-05-23 Badrinarayan P. Athreya , Nigel Goldenfeld , Jonathan A. Dantzig

We present a detailed analysis of glass transitions induced by pinning particles at random from an equilibrium configuration. We first develop a mean-field analysis based on the study of p-spin spherical disordered models and then obtain…

Disordered Systems and Neural Networks · Physics 2014-10-13 Chiara Cammarota , Giulio Biroli

We establish the functional Renormalization Group as an exploratory tool to investigate a possible phase transition between a pre-geometric discrete phase and a geometric continuum phase in quantum gravity. In this paper, based on the…

General Relativity and Quantum Cosmology · Physics 2014-12-03 Astrid Eichhorn , Tim Koslowski

We consider formulations of the functional renormaliztion-group flow for correlated electronic systems, having the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those…

Strongly Correlated Electrons · Physics 2015-08-04 A. A. Katanin

We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the…

Strongly Correlated Electrons · Physics 2022-12-05 G. Camacho , C. Klöckner , D. M. Kennes , C. Karrasch

The critical behavior of the semi-infinite Blume-Capel and Blume-Emery-Griffiths models is investigated in the pair approximation of the Cluster Variation Method. Equations for bulk and surface order parameters and n.n. correlation…

Condensed Matter · Physics 2009-10-22 Carla Buzano , Alessandro Pelizzola

We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some…

Disordered Systems and Neural Networks · Physics 2013-04-30 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

Conventional renormalization methods in statistical physics and lattice quantum field theory assume a flat metric background. We outline here a generalization of such methods to models on discretized spaces without metric background.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Robert Oeckl

Criticality in the class of disordered systems comprising the random-field Ising model (RFIM) and elastic manifolds in a random environment is controlled by zero-temperature fixed points that must be treated through a functional…

Disordered Systems and Neural Networks · Physics 2020-01-29 Ivan Balog , Gilles Tarjus , Matthieu Tissier

The Blume - Emery - Griffiths model is investigated by use of the cluster variation method in the pair approximation. We determine the regions of the phase space where reentrant phenomenon takes place. Two regions are found, depending on…

Condensed Matter · Physics 2009-10-22 Carla Buzano , Alessandro Pelizzola

We use the numerical renormalization group method to investigate the spectral properties of a single-impurity Anderson model with a gap {\delta} across the Fermi level in the conduction-electron spectrum. For any finite {\delta} > 0, at…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Catalin Pascu Moca , Adrian Roman

Based on static and dynamical density functional theory, a phase-field-crystal model is derived which involves both the translational density and the orientational degree of ordering as well as a local director field. The model exhibits…

Soft Condensed Matter · Physics 2015-05-19 Hartmut Löwen

The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel (BC) model are discussed. The calculation of ground states at strong disorder and large values…

Statistical Mechanics · Physics 2015-05-14 A. Malakis , A. Nihat Berker , I. A. Hadjiagapiou , N. G. Fytas , T. Papakonstantinou

Psychological disorders like major depressive disorder can be seen as complex dynamical systems. By looking at symptom activation patterns, we can investigate the dynamic behaviour of individuals to see whether or not they are at risk for…

Applications · Statistics 2018-07-11 Jolanda J Kossakowski , Marijke CM Gordijn , Harriette Riese , Lourens J Waldorp

The asymmetric simple exclusion process with random-force disorder is studied within the mean field approximation. The stationary current through a domain with reversed bias is analyzed and the results are found to be in accordance with…

Disordered Systems and Neural Networks · Physics 2015-05-30 Róbert Juhász

Two very different problems that can be studied by renormalization group methods are discussed with the aim of showing the conceptual unity that renormalization group has introduced in some areas of theoretical Physics. The two problems…

Statistical Mechanics · Physics 2008-02-26 Giovanni Gallavotti

We demonstrate the full power of nonperturbative renormalisation group methods for nonequilibrium situations by calculating the quantitative phase diagrams of simple branching and annihilating random walks and checking these results against…

Statistical Mechanics · Physics 2009-11-10 L. Canet , H. Chaté , B. Delamotte