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  • 1
    Electronic Resource
    Electronic Resource
    [s.l.] : Macmillian Magazines Ltd.
    Nature 422 (2003), S. 289-292 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Glasses are amorphous solids, in the sense that they display elastic behaviour. In crystalline solids, elasticity is associated with phonons, which are quantized vibrational excitations. Phonon-like excitations also exist in glasses at very high (terahertz; 1012 Hz) ...
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 14 (2000), S. 535-542 
    ISSN: 1434-6036
    Keywords: PACS. 05.20.-y Classical statistical mechanics - 64.70.Pf Glass transitions - 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The p-adic formulation of replica symmetry breaking is presented. In this approach ultrametricity is a natural consequence of the basic properties of the p-adic numbers. Many properties can be simply derived in this approach and p-adic Fourier transform seems to be a promising tool.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 18 (2000), S. 485-491 
    ISSN: 1434-6036
    Keywords: PACS. 05.20.-y Classical statistical mechanics - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We explore the consequences of Replica Symmetry Breaking at zero temperature. We introduce a repulsive coupling between a system and its unperturbed ground state. In the Replica Symmetry Breaking scenario a finite coupling induces a non trivial overlap probability distribution among the unperturbed ground state and the one in presence of the coupling. We find a closed formula for this probability for arbitrary ultrametric trees, in terms of the parameters defining the tree. The same probability is computed in numerical simulations of a simple model with many ground states, but no ultrametricity: polymers in random media in 1+1 dimension. This gives us an idea of what violation of our formula can be expected in cases when ultrametricity does not hold.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 457-468 
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models – 02.60.Pn Numerical optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We get back to the computation of the leading finite size corrections to some random link matching problems, first adressed by Mézard and Parisi [J. Phys. France 48, 1451 (1987)]. In the so-called bipartite case, their result is in contradiction with subsequent works. We show that they made some mistakes, and correcting them, we get the expected result. In the non bipartite case, we agree with their result but push the analytical treatment further.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 30 (2002), S. 533-541 
    ISSN: 1434-6036
    Keywords: PACS. 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study spin glasses on random lattices with finite connectivity. In the infinite connectivity limit they reduce to the Sherrington Kirkpatrick model. In this paper we investigate the expansion around the high connectivity limit. Within the replica symmetry breaking scheme at two steps, we compute the free energy at the first order in the expansion in inverse powers of the average connectivity (z), both for the fixed connectivity and for the fluctuating connectivity random lattices. It is well known that the coefficient of the 1/z correction for the free energy is divergent at low temperatures if computed in the one step approximation. We find that this annoying divergence becomes much smaller if computed in the framework of the more accurate two steps breaking. Comparing the temperature dependance of the coefficients of this divergence in the replica symmetric, one step and two steps replica symmetry breaking, we conclude that this divergence is an artefact due to the use of a finite number of steps of replica symmetry breaking. The 1/z expansion is well defined also in the zero temperature limit.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 22 (2001), S. 229-237 
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models – 02.60.Pn Numerical optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We consider a class of random matching problems where the distance between two points has a probability law which, for a small distance l, goes like lr. In the framework of the cavity method, in the limit of an infinite number of points, we derive equations for pk, the probability for some given point to be matched to its kth nearest neighbor in the optimal configuration. These equations are solved in two limiting cases: r = 0 -- where we recover p k = 1/2k, as numerically conjectured by Houdayer et al. and recently rigorously proved by Aldous -- and r→ + ∞. For 0 〈 r 〈 + ∞, we are not able to solve the equations analytically, but we compute the leading behavior of pk for large k.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 21 (2001), S. 605-609 
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models – 05.10.Cc Renormalization group methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining transformation, that is performed on the overlap probability measure. Universality classes are thus naturally defined on a large set of models, going from and Gaussian spin glasses to Ising and fully frustrated models, and others. The proposed analysis is tested numerically on the Edwards-Anderson model in d = 4. Good estimates of the critical index ν and of T c are obtained, and an RG flow diagram is sketched for the first time.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 20 (2001), S. 217-233 
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature. Using the cavity method, we propose a general non perturbative solution of the Bethe lattice spin glass problem at a level of approximation which is equivalent to a one step replica symmetry breaking solution. The results compare well with numerical simulations. The method can be used for many finite connectivity problems appearing in combinatorial optimization.
    Type of Medium: Electronic Resource
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  • 9
    ISSN: 1573-143X
    Keywords: Biogenic amines ; biosensors ; fish quality ; K1 value ; sea bass (Dicentrarchus labrax) ; storage conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract Biosensors in the detection of K1 value (a ratiobased on the changes in ATP catabolites contentoccurring in the muscle after death) and biogenicamines for evaluation of fish quality were tested. TheK1 value was determined, every 24 h, from 24 to168 h after death, by HPLC and by a xanthine oxidasebiosensor on 36 sea bass (Dicentrarchus labrax)stored at 1°C with ice covering. TheK1 value by biosensor and the biogenic amines byHPLC and by a diamine-oxidase biosensor were evaluatedevery 24 h after death or thawing until spoilage on150 sea bass, reared under aeration or atsupersaturated oxygen level and stored at 4°C,1°C with ice covering, −20°C × 30 d and−80°C × 90 d. Refrigerated fish were evaluatedby the EU sensory scheme. A close relation betweenHPLC and biosensor-values emerged for K1 value.Reliable estimates by biosensor K1% of both EUfreshness classes and the quality of frozen bass werefound. Biogenic amine levels remained fairly lowwithin the edibility period but putrescine showed moreevident changes, making it promising as a spoilageindicator in frozen fish. Storage conditions markedlyinfluenced changes after death or thawing in K1value or, even less, in biogenic amine levels,putrescine particularly, while dissolved oxygen inwater of rearing did not.
    Type of Medium: Electronic Resource
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