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Critical behaviour of the O(n)-symmetric $\phi^{4}$-model with an antisymmetric tensor order parameter is studied by means of the field-theoretic renormalization group (RG) in the leading order of the $\varepsilon=4-d$-expansion (one-loop…

统计力学 · 物理学 2013-10-01 N. V. Antonov , M. V. Kompaniets , N. M. Lebedev

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…

统计力学 · 物理学 2009-10-31 A. I. Sokolov , K. B. Varnashev

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

统计力学 · 物理学 2009-10-31 S. A. Antonenko , A. I. Sokolov

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…

统计力学 · 物理学 2009-11-07 Andrei Mudrov , Konstantin Varnashev

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

高能物理 - 唯象学 · 物理学 2014-11-18 B. Stokic , B. Friman , K. Redlich

After a quench of transverse field, the asymptotic long-time state of Ising model displays a transition from a ferromagnetic phase to a paramagnetic phase as the post-quench field strength increases, which is revealed by the vanishing of…

量子气体 · 物理学 2020-01-08 Bin Li , Chao Gao , Gao Xianlong , Pei Wang

This article concludes a series of papers (R. Folk, Yu. Holovatch, and G. Moser, Phys. Rev. E 78, 041124 (2008); 78, 041125 (2008); 79, 031109 (2009)) where the tools of the field theoretical renormalization group were employed to explain…

统计力学 · 物理学 2015-07-02 R. Folk , Yu. Holovatch , G. Moser

We have developed a very efficient numerical algorithm of the strong disorder renormalization group method to study the critical behaviour of the random transverse-field Ising model, which is a prototype of random quantum magnets. With this…

无序系统与神经网络 · 物理学 2011-09-21 István A. Kovács , Ferenc Iglói

New field theoretic renormalization group methods are developed to describe in a unified fashion the critical exponents of an m-fold Lifshitz point at the two-loop order in the anisotropic (m not equal to d) and isotropic (m=d close to 8)…

统计力学 · 物理学 2015-06-24 Marcelo M. Leite

Since Weinberg's proposal two decades ago, chiral effective field theory in the NN sector has been developed and applied up to order $O((Q/M_{hi})^4)$. In principle it could provide a model-independent description of nuclear force from QCD.…

核理论 · 物理学 2017-08-23 C. J. Yang , Bingwei Long

When studying the collective motion of biological groups a useful theoretical framework is that of ferromagnetic systems, in which the alignment interactions are a surrogate of the effective imitation among the individuals. In this context,…

统计力学 · 物理学 2023-01-13 Andrea Cavagna , Antonio Culla , Tomás S. Grigera

The infinite disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we…

无序系统与神经网络 · 物理学 2015-05-19 Istvan A. Kovacs , Ferenc Igloi

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain…

统计力学 · 物理学 2009-11-10 Yurij Holovatch , Dmytro Ivaneyko , Bertrand Delamotte

We employ the nonperturbative functional Renormalization Group to study models with an O(N_1)+O(N_2) symmetry. Here, different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the…

统计力学 · 物理学 2013-10-29 Astrid Eichhorn , David Mesterházy , Michael M. Scherer

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…

统计力学 · 物理学 2026-05-20 Harukuni Ikeda , Hiroyoshi Nakano

We study some analytical properties of the solutions of the non perturbative renormalization group flow equations for a scalar field theory with $Z_2$ symmetry in the ordered phase, i.e. at temperatures below the critical temperature. The…

统计力学 · 物理学 2011-11-15 Jean-Michel Caillol

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…

高能物理 - 格点 · 物理学 2009-04-14 Ettore Vicari

Large order asymptotic behaviour of renormalization constants in the minimal subtraction scheme for the $\phi ^4$ $(4-\epsilon)$ theory is discussed. Well-known results of the asymptotic $4-\epsilon $ expansion of critical indices are shown…

高能物理 - 理论 · 物理学 2007-05-23 J. Honkonen , M. Komarova , M. Nalimov

The critical behaviour of the O(n)-symmetric model with two n-vector fields is studied within the field-theoretical renormalization group approach in a D=4-2 epsilon expansion. Depending on the coupling constants the beta-functions, fixed…

统计力学 · 物理学 2009-02-09 Yuri M. Pis'mak , Alexej Weber , Franz J. Wegner

We study the surface critical behavior of semi-infinite systems belonging to the bulk universality class of the Ising model. Special attention is paid to the local behavior of experimentally relevant quantities such as the order parameter…

凝聚态物理 · 物理学 2009-10-28 A. Ciach , U. Ritschel
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