Journal ArticleDOI
Random-Field Instability of the Ordered State of Continuous Symmetry
Yoseph Imry,Shang-keng Ma +1 more
TLDR
In this article, it was shown that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions and the borderline dimensionality above which mean-field-theory results hold is six.Abstract:
Phase transitions are considered in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six. (auth)read more
Citations
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Journal ArticleDOI
Localization Transition of Random Chains at Interfaces
TL;DR: In this paper, a simple model of a random chain at an interface between two fluids, and assuming that its monomers have random affinities with both fluids (e.g., a Gaussian distribution with mean value ζ 0), is considered.
Journal ArticleDOI
Near-critical fluctuations and cytoskeleton-assisted phase separation lead to subdiffusion in cell membranes.
TL;DR: A minimum realistic model for membrane rafts showing the features of both microscopic phase separation and subdiffusion is presented and it is found that near-critical fluctuations in the membrane lead to transient sub Diffusion.
Journal ArticleDOI
Phase transitions in diluted magnets: Critical behavior, percolation, and random fields
TL;DR: In this paper, the results of a series of neutron scattering experiments on transition metal halides are briefly reviewed and the critical behavior in Rb2Mn0.5Ni 0.5F4 and FecZn1−cF2 which correspond to two-dimensional and three-dimensional random Ising systems, respectively.
Journal ArticleDOI
Random fields in relaxor ferroelectrics — a jubilee review
TL;DR: In this article, the coexistence of distinct normal and relaxor ferroelectric phases within the framework of percolation theory has been studied, and it has been shown that a strong frequency dispersion of the dielectric response and an apparent lack of macroscopic symmetry breaking in the low temperature phase are related to mesoscopic RF-driven phase transitions, which give rise to irregularly shaped quasi-stable polar nanoregions below the characteristic temperature T*, but above the global transition temperature Tc.
Book ChapterDOI
Scaling theory of the ordered phase of spin glasses
TL;DR: In this article, the scaling behavior of short-range spin glasses is described in terms of the scaling behaviour associated with a zero-temperature fixed point, and the main ingredient of the theory is the exponent y which describes the growth with length scale L of the characteristic coupling at zero temperature.
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