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A field-theoretical description of the behavior of disordered, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. The description is performed in the…

统计力学 · 物理学 2007-05-23 S. V. Belim

The behaviour of uniform elastically isotropic compressible systems in critical and tricritical points is described in field-theoretical terms. Renormalizationgroup equations are analyzed for the case of three-dimensional systems in a…

统计力学 · 物理学 2007-05-23 S. V. Belim

A field-theoretic approach is applied to describe behavior of three-dimensional, weakly disordered, elastically isotropic, compressible systems with long-range interactions at various values of a long-range interaction parameter.…

统计力学 · 物理学 2007-05-23 S. V. Belim

A field-theoretic approach is applied to describe behavior of homogeneous three-dimensional systems with long-range interactions defined by two order parameters at bicritical and tetracritical points. Renormalization- group equations are…

统计力学 · 物理学 2009-11-11 S. V. Belim

A field-theoretical description of the behavior of compressible Ising systems with long-range interactions is presented. The description is performed in the two-loop approximation in three dimensions with the use of the Pade-Borel…

统计力学 · 物理学 2007-05-23 S. V. Belim

We use a mixed-spin model, with aperiodic ferromagnetic exchange interactions and crystalline fields, to investigate the effects of deterministic geometric fluctuations on first-order transitions and tricritical phenomena. The interactions…

统计力学 · 物理学 2009-10-31 T. A. S. Haddad , Angsula Ghosh , S. R. Salinas

The critical behavior of many physical systems involves two competing $n^{}_1-$ and $n^{}_2-$component order-parameters, ${\bf S}^{}_1$ and ${\bf S}^{}_2$, respectively, with $n=n^{}_1+n^{}_2$. Varying an external control parameter $g$,…

统计力学 · 物理学 2022-06-22 A. Aharony , O. Entin-Wohlman , A. Kudlis

The influence of disordering upon critical behavior of the system with hidden degrees of freedom is considered. It is shown that there is a tricritical behavior in the constrained system, while in the unconstrained system only phase…

无序系统与神经网络 · 物理学 2009-10-30 Y. N. Skryabin , A. V. Shchanov

The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk…

统计力学 · 物理学 2009-11-13 S. V. Belim

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 discuss the static and dynamic multicritical behavior of three-dimensional systems of $O(n_\|)\oplus O(n_\perp)$ symmetry as it is explained by the field theoretical renormalization group method. Whereas the static renormalization group…

统计力学 · 物理学 2014-11-20 R. Folk , Yu. Holovatch , G. Moser

We calculate the static critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry by renormalization group method within the minimal subtraction scheme in two loop order. Summation methods lead to fixed points describing…

统计力学 · 物理学 2009-11-13 R. Folk , Yu. Holovatch , G. Moser

A system defined by two coupled Ising models, with a bimodal random field acting in one of them, is investigated. The interactions among variables of each Ising system are infinite-ranged, a limit where mean field becomes exact. This model…

统计力学 · 物理学 2014-06-24 Octavio D. Rodriguez Salmon , Fernando Dantas Nobre

Bifurcation of an elastic structure crucially depends on the curvature of the constraints against which the ends of the structure are prescribed to move, an effect which deserves more attention than it has received so far. In fact, we show…

数学物理 · 物理学 2015-06-03 D. Bigoni , D. Misseroni , G. Noselli , D. Zaccaria

It Is realized the theoretic - field description of Ising systems behaviour with effect of long-range interaction in two-loop approximation in three-dimensional space with using Pade-Borel resummation technique. The renorm-group equations…

统计力学 · 物理学 2009-11-10 S. V. Belim

The phase transitions and critical properties of two types of inhomogeneous systems are reviewed. In one case, the local critical behaviour results from the particular shape of the system. Here scale-invariant forms like wedges or cones are…

统计力学 · 物理学 2009-10-22 F. Iglói , I. Peschel , L. Turban

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 analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for…

统计力学 · 物理学 2022-11-09 A. Kudlis , A. Pikelner

Strain correlation functions in two-dimensional isotropic elastic bodies are shown both theoretically (using the general structure of isotropic tensor fields) and numerically (using a glass-forming model system) to depend on the coordinates…

统计力学 · 物理学 2023-08-17 J. P. Wittmer , A. N. Semenov , J. Baschnagel

A field-theoretical description of the behavior of a disordered Ising system with long-range interaction is presented. The description is performed in the two-loop approximation in three dimensions using the Pade-Borel resummation…

统计力学 · 物理学 2007-05-23 S. V. Belim
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