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We calculate the relaxational dynamical critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry including conservation of magnetization by renormalization group (RG) theory within the minimal subtraction scheme in two loop…

Statistical Mechanics · Physics 2009-11-13 R. Folk , Yu. Holovatch , G. Moser

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck

An order parameter description of the Anderson-Mott transition (AMT) is given. We first derive an order parameter field theory for the AMT, and then present a mean-field solution. It is shown that the mean-field critical exponents are exact…

Condensed Matter · Physics 2009-10-22 D. Belitz , T. R. Kirkpatrick

We investigate the phase diagram and, in particular, the nature of the the multicritical point in three-dimensional frustrated $N$-component spin models with noncollinear order in the presence of an external field, for instance easy-axis…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

In the framework of the renormalization-group (RG) approach, critical phenomena can be investigated by studying the RG flow of multi-parameter $\Phi^4$ field theories with an $N$-component fundamental field, containing up to 4th-order…

High Energy Physics - Lattice · Physics 2009-04-14 Ettore Vicari

We discuss the critical behavior of several three-dimensional magnetic systems, such as pure and randomly dilute (anti)ferromagnets and stacked triangular antiferromagnets. We also discuss the nature of the multicritical points that arise…

Statistical Mechanics · Physics 2007-05-23 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The…

Statistical Mechanics · Physics 2012-05-10 J. Ricardo G. Mendonça

In this work we have studied the QCD phase structure and critical dynamics related to the 3-$d$ $O(4)$ and $Z(2)$ symmetry universality classes in the two-flavor quark-meson low energy effective theory within the functional renormalization…

High Energy Physics - Phenomenology · Physics 2021-09-15 Yong-rui Chen , Rui Wen , Wei-jie Fu

First-order phase transitions in many-fermion systems are not detected in the susceptibility analysis of common renormalization-group (RG) approaches. Here we introduce a counterterm technique within the functional renormalization-group…

Strongly Correlated Electrons · Physics 2007-05-23 R. Gersch , J. Reiss , C. Honerkamp

The paper is devoted to a study of phase transitions in the Hermitian random matrix models with a polynomial potential. In an alternative equivalent language, we study families of equilibrium measures on the real line in a polynomial…

Classical Analysis and ODEs · Mathematics 2014-10-28 A. Martinez-Finkelshtein , R. Orive , E. A. Rakhmanov

The critical dynamics of conformal field theories on random surfaces is investigated beyond the previously studied dynamics of the overall area and the genus. It is found that the evolution of the order parameter in physical time performs a…

High Energy Physics - Theory · Physics 2025-11-04 Christof Schmidhuber

The asymptotic behaviour near phase transitions can be suitably characterized by the scaling of $\Delta s/Q^2$ with $\epsilon=1-T/T_c$, where $\Delta s$ is the excess entropy and $Q$ is the order parameter. As $\Delta s$ is obtained by…

Condensed Matter · Physics 2007-05-23 J. M. Martin-Olalla , F. J. Romero , S. Ramos , M. C. Gallardo , J. M. Perez-Mato , E. K. H. Salje

The multifractal analysis of disorder induced localization-delocalization transitions is reviewed. Scaling properties of this transition are generic for multi parameter coherent systems which show broadly distributed observables at…

Condensed Matter · Physics 2015-06-25 Martin Janssen

The critical behaviour of semi-infinite $d$-dimensional systems with short-range interactions and an O(n) invariant Hamiltonian is investigated at an $m$-axial Lifshitz point with an isotropic wave-vector instability in an $m$-dimensional…

Statistical Mechanics · Physics 2008-11-26 H. W. Diehl , S. Rutkevich , A. Gerwinski

The problem of critical behaviour of three dimensional random anisotropy magnets, which constitute a wide class of disordered magnets is considered. Previous results obtained in experiments, by Monte Carlo simulations and within different…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Dudka , R. Folk , Yu. Holovatch

We study a non linear sigma model $O(N)\otimes O(2)/O(N-2)\otimes O(2)$ describing the phase transition of N-components helimagnets up to two loop order in $D=2+\epsilon$ dimensions. It is shown that a stable fixed point exists as soon as…

Condensed Matter · Physics 2010-03-25 P. Azaria , B. Delamotte , F. Delduc , Th. Jolicoeur

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in…

Strongly Correlated Electrons · Physics 2009-01-06 Thomas Vojta , Chetan Kotabage , J. A. Hoyos

We present a unified dynamical mean-field theory for stochastic self-organized critical models. We use a single site approximation and we include the details of different models by using effective parameters and constraints. We identify the…

Statistical Mechanics · Physics 2009-10-28 Alessandro Vespignani , Stefano Zapperi

We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O($N$)-symmetric universality classes, including the $N\to 0$ limit that describes the critical behavior of…

Statistical Mechanics · Physics 2008-11-26 Andrea Pelissetto , Ettore Vicari

We consider the critical behavior of the most general system of two N-vector order parameters that is O(N) invariant. We show that it may a have a multicritical transition with enlarged symmetry controlled by the chiral O(2)xO(N) fixed…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Pelissetto , Ettore Vicari