Search results for "Replica trick"

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Coherent potential approximation for diffusion and wave propagation in topologically disordered systems

2013

Using Gaussian integral transform techniques borrowed from functional-integral field theory and the replica trick we derive a version of the coherent-potential approximation (CPA) suited for describing ($i$) the diffusive (hopping) motion of classical particles in a random environment and ($ii$) the vibrational properties of materials with spatially fluctuating elastic coefficients in topologically disordered materials. The effective medium in the present version of the CPA is not a lattice but a homogeneous and isotropic medium, representing an amorphous material on a mesoscopic scale. The transition from a frequency-independent to a frequency-dependent diffusivity (conductivity) is shown …

PhysicsMesoscopic physicsWave propagationGaussianIsotropyFOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsCondensed Matter::Disordered Systems and Neural NetworksElectronic Optical and Magnetic Materialssymbols.namesakeQuantum mechanicsGaussian integralsymbolsCoherent potential approximationStatistical physicsRayleigh scatteringReplica trick
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Spin glasses: Experimental facts, theoretical concepts, and open questions

1986

This review summarizes recent developments in the theory of spin glasses, as well as pertinent experimental data. The most characteristic properties of spin glass systems are described, and related phenomena in other glassy systems (dielectric and orientational glasses) are mentioned. The Edwards-Anderson model of spin glasses and its treatment within the replica method and mean-field theory are outlined, and concepts such as "frustration," "broken replica symmetry," "broken ergodicity," etc., are discussed. The dynamic approach to describing the spin glass transition is emphasized. Monte Carlo simulations of spin glasses and the insight gained by them are described. Other topics discussed …

PhysicsSpin glassCondensed matter physicsmedia_common.quotation_subjectMonte Carlo methodGeneral Physics and AstronomyFrustrationSpin engineeringCondensed Matter::Disordered Systems and Neural NetworksCondensed Matter::Soft Condensed MatterFerromagnetismMetastateAntiferromagnetismCondensed Matter::Strongly Correlated ElectronsReplica trickmedia_commonReviews of Modern Physics
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