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In this work we investigate the critical behavior of physical systems with competing interactions that present points Lifshitz m-axial. For this study we used the techniques of Quantum Field Theory with Massive Scalar interactions of type…

Other Condensed Matter · Physics 2014-03-11 Emanuel V. Souza

We investigate the Eulerian bond-cubic model on the square lattice by means of Monte Carlo simulations, using an efficient cluster algorithm and a finite-size scaling analysis. The critical points and four critical exponents of the model…

Statistical Mechanics · Physics 2015-05-30 Cheng-Xiang Ding , Gui-Yuan Yao , Song Li , Youjin Deng , Wen-An Guo

We investigate the asymptotic and effective static and dynamic critical behavior of (d=3)-dimensional magnets with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. Blavats'ka , M. Dudka , R. Folk , Yu. Holovatch

We consider the low-temperature limit of the long-distance asymptotic behavior of the finite temperature density-density correlation function in the one-dimensional Bose gas derived recently in the algebraic Bethe ansatz framework. Our…

Mathematical Physics · Physics 2011-03-31 K. K. Kozlowski , J. M. Maillet , N. A. Slavnov

Multiplicative logarithmic corrections frequently characterize critical behaviour in statistical physics. Here, a recently proposed theory relating the exponents of such terms is extended to account for circumstances which often occur when…

Statistical Mechanics · Physics 2009-11-11 R. Kenna , D. A. Johnston , W. Janke

For an ideal D-dimensional Fermi gas under generic external confinement we derive the correcting coefficient $(D-2)/3D$ of the von Weizsacker term in the kinetic energy density. To obtain this coefficient we use the Kirzhnits semiclassical…

Statistical Mechanics · Physics 2009-11-13 Luca Salasnich

An explicit relation between the dimensional loss ($\Delta D$), entropy production and transport is established under thermal gradients, relating the microscopic and macroscopic behaviors of the system. The extensivity of $\Delta D$ in…

Chaotic Dynamics · Physics 2007-05-23 Kenichiro Aoki , Dimitri Kusnezov

Using Monte Carlo techniques, the surface critical behaviour of three-dimensional semi-infinite ANNNI models with different surface orientations with respect to the axis of competing interactions is investigated. Special attention is…

Condensed Matter · Physics 2009-11-07 Michel Pleimling

The $P$-$V$ phase transition and critical behavior in the extended phase space of asymptotic Anti-de Sitter (AdS) black holes have been widely investigated, in which four critical exponents around critical point are found to be consistent…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Ya-Peng Hu , Liang Cai , Xiao Liang , Shi-Bei Kong , Hongsheng Zhang

We study the critical behavior of the Ising model in three dimensions on a lattice with site disorder by using Monte Carlo simulations. The disorder is either uncorrelated or long-range correlated with correlation function that decays…

Statistical Mechanics · Physics 2020-11-25 Stanislav Kazmin , Wolfhard Janke

We study the quantum analogue of primary fields and their descendants on fuzzy AdS_2, proposed in hep-th/0004072. Three-point vertices are calculated and shown to exhibit the conventional 1/N expansion as well as nonperturtive effects in…

High Energy Physics - Theory · Physics 2009-10-31 Pei-Ming Ho , Miao Li

We investigate deformations of Lifshitz holography in $(n+1)$ dimensional spacetime. After discussing the situation for general Lifshitz scaling symmetry parameter $z$, we consider $z=n-1$ and the associated marginally relevant operators.…

High Energy Physics - Theory · Physics 2012-10-16 Miok Park , Robert B. Mann

We study a flavour-violating four-fermion interaction in the Lifshitz context, in 3+1 dimensions and with a critical exponent z=3. This model is renormalizable, and features dynamical mass generation, as well as asymptotic freedom. At…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. Alexandre , J. Brister , N. Houston

We present a field-theoretical treatment of the critical behavior of three-dimensional weakly diluted quenched Ising model. To this end we analyse in a replica limit n=0 5-loop renormalization group functions of the $\phi^4$-theory with…

Condensed Matter · Physics 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent $z\geq 1$. We numerically explore black…

High Energy Physics - Theory · Physics 2013-05-29 Gaetano Bertoldi , Benjamin A. Burrington , Amanda Peet

We compute critical exponents governing universal features of supercooled liquids through the effective theory of an overlap field. The correlation length diverges with the Ising exponent; the size of dynamically heterogeneous patches grows…

Disordered Systems and Neural Networks · Physics 2014-07-25 Ethan Dyer , Jaehoon Lee , Sho Yaida

We consider a special case of the n-component cubic model on the square lattice, for which an expansion exists in Ising-like graphs. We construct a transfer matrix and perform a finite-size-scaling analysis to determine the critical points…

Statistical Mechanics · Physics 2009-11-11 Wenan Guo , Xiaofeng Qian , Henk W. J. Blöte , F. Y. Wu

We study nonequilibrium critical relaxation properties of systems with quenched extended defects, correlated in $\epsilon_d$ dimensions and randomly distributed in the remaining $d-\epsilon_d$ dimensions. Using a field-theoretic…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrei A. Fedorenko

We investigate the critical properties of d-dimensional magnetic systems with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. Blavatska , C. von Ferber , Yu. Holovatch

We present a differential formulation of the recursion formula of the hierarchical model which provides a recursive method of calculation for the high-temperature expansion. We calculate the first 30 coefficients of the high temperature…

High Energy Physics - Lattice · Physics 2008-02-03 Y. Meurice , G. Ordaz
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