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We numerically investigate the non-equilibrium critical dynamics in three-dimensional anisotropic antiferromagnets in the presence of an external magnetic field. The phase diagram of this system exhibits two critical lines that meet at a…

Statistical Mechanics · Physics 2020-11-18 Riya Nandi , Uwe C. Täuber

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

Statistical Mechanics · Physics 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

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

Phase transitions in non-equilibrium steady states of O(n)-symmetric models with reversible mode couplings are studied using dynamic field theory and the renormalization group. The systems are driven out of equilibrium by dynamical…

Statistical Mechanics · Physics 2011-12-24 Uwe C. Täuber , Jaime E. Santos , Zoltán Rácz

We study the critical behavior of the $O(n)$ model under steady shear flow using a dynamical renormalization group (RG) method. Incorporating the strong anisotropy in scaling ansatz, which has been neglected in earlier RG analyses, we…

Statistical Mechanics · Physics 2026-05-20 Harukuni Ikeda , Hiroyoshi Nakano

We investigate the critical dynamics of the $n$-component relaxational models C and D which incorporate the coupling of a nonconserved and conserved order parameter S, respectively, to the conserved energy density rho, under nonequilibrium…

Statistical Mechanics · Physics 2009-11-10 Vamsi K. Akkineni , Uwe C. Tauber

We study the behavior of the antiferromagnetic RP$^2$ model in $d=3$. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical…

High Energy Physics - Lattice · Physics 2011-02-21 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

The critical behavior of a complex N-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

We numerically investigate the stationary and non-equilibrium critical dynamics in three-dimensional isotropic Heisenberg antiferromagnets. Since the non-conserved staggered magnetization couples dynamically to the conserved magnetization…

Statistical Mechanics · Physics 2019-02-27 Riya Nandi , Uwe C. Täuber

We study (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method with the infinite limit of the bond dimension $D_{\rm cut}\rightarrow \infty$. At the vanishing chemical potential $\mu=0$, we investigate…

High Energy Physics - Lattice · Physics 2024-12-05 Xiao Luo , Yoshinobu Kuramashi

We study the dynamics of critical spin fluctuations and hot electrons at the metallic antiferromagnetic quantum critical points with $Z_2$ and $O(2)$ spin symmetries, building upon earlier works on the $O(3)$ symmetric theory. The…

Strongly Correlated Electrons · Physics 2025-04-15 Anton Borissov , Vladimir Calvera , Sung-Sik Lee

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

Strongly Correlated Electrons · Physics 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order…

Statistical Mechanics · Physics 2009-10-31 A. I. Sokolov , K. B. Varnashev

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 study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis. For the random axis anisotropic…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

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

The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach…

High Energy Physics - Phenomenology · Physics 2024-10-08 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

By applying the recently developed nonperturbative functional renormalization group (FRG) approach, we study the interplay between ferromagnetism, quasi-long range order (QLRO) and criticality in the $d$-dimensional random field O(N) model…

Other Condensed Matter · Physics 2009-11-11 Matthieu Tissier , Gilles Tarjus

We investigate nonequilibrium critical properties of $O(n)$-symmetric models with reversible mode-coupling terms. Specifically, a variant of the model of Sasv\'ari, Schwabl, and Sz\'epfalusy is studied, where violation of detailed balance…

Statistical Mechanics · Physics 2016-08-31 Uwe C. Täuber , Zoltán Rácz

We present antiferromagnetism as a mechanism capable of modifying substantially the phase diagram and the critical behaviour of statistical mechanical models. This is particularly relevant in four dimensions, due to the connection between…

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