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An important prediction of Mode-Coupling-Theory (MCT) is the relationship between the power- law decay exponents in the {\beta} regime. In the original structural glass context this relationship follows from the MCT equations that are…

Disordered Systems and Neural Networks · Physics 2013-01-30 Francesco Caltagirone , Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

In this paper we examine the change in the estimated spatial power spectra at decoupling due to the effects of our clumpy universe which modify observational distances. We find that scales at decoupling can be significantly underestmated in…

General Relativity and Quantum Cosmology · Physics 2009-09-25 B. A. C. C. Bassett , P. K. S. Dunsby , G. F. R. Ellis

The critical dynamics of Ising spin glasses with Bimodal, Gaussian, and Laplacian interaction distributions are studied numerically in dimensions 3 and 4. The data demonstrate that in both dimensions the critical dynamic exponent $z_{\rm…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michel Pleimling , I. A. Campbell

The refined asymptotic expansion of the confluent hypergeometric function $M(a,b,z)$ on the Stokes line $\arg\,z=\pi$ given in {\it Appl. Math. Sci.} {\bf 7} (2013) 6601--6609 is employed to derive the correct exponentially small…

Classical Analysis and ODEs · Mathematics 2020-01-01 R B Paris

A particle in a random potential with logarithmic correlations in dimensions $d=1,2$ is shown to undergo a dynamical transition at $T_{dyn}>0$. In $d=1$ exact results demonstrate that $T_{dyn}=T_c$, the static glass transition temperature,…

Condensed Matter · Physics 2009-10-31 Horacio Castillo , Pierre Le Doussal

Spin relaxation close to the glass temperature of CuMn and AuFe spin glasses is shown, by neutron spin echo, to follow a generalised exponential function which explicitly introduces hierarchically constrained dynamics and macroscopic…

Disordered Systems and Neural Networks · Physics 2009-02-25 R M Pickup , R Cywinski , C Pappas , B Farago , P Fouquet

We extend the standard droplet scaling theory for isothermal aging in spin glasses assuming that the effective stiffness constant of droplets as large as extended defects is vanishingly small. A novel dynamical order parameter and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hajime Yoshino , Koji Hukushima , Hajime Takayama

The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we…

Disordered Systems and Neural Networks · Physics 2015-05-27 Luis Antonio Fernandez , Victor Martin-Mayor

We report on zero field cooled magnetization relaxation experiments on a concen- trated frozen ferrofluid exhibiting a low temperature superspin glass transition. With a method initially developed for spin glasses, we investigate the field…

Disordered Systems and Neural Networks · Physics 2009-02-09 Elie Wandersman , V. Dupuis , Emmanuelle Dubois , Régine Perzynski , S. Nakamae , Eric Vincent

Mean-field models of glasses that present a random first order transition exhibit highly non-trivial fluctuations. Building on previous studies that focused on the critical scaling regime, we here obtain a fully quantitative framework for…

Disordered Systems and Neural Networks · Physics 2022-08-09 Giampaolo Folena , Giulio Biroli , Patrick Charbonneau , Yi Hu , Francesco Zamponi

We calculate the one-loop contributions to the tau slepton masses in the Minimal Supersymmetric Standard Model in the effective potential approach. For the majority of parameter space under study, those corrections are shown to elevate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. M. Ferreira

We study the one-loop two point functions of the gauge, scalar and spinor fields for a Horava-Lifshitz-like QED with critical exponent $z=2$. It turns out that, in certain cases, the dynamical restoration of the Lorentz symmetry at low…

High Energy Physics - Theory · Physics 2015-11-24 M. Gomes , T. Mariz , J. R. Nascimento , A. Yu. Petrov , J. M. Queiruga , A. J. da Silva

Recent high precision experimental results on spin-glass films ask for a detailed understanding of the domain-growth dynamics of two-dimensional spin glasses. To achieve this goal, we numerically simulate the out-equilibrium dynamics of the…

Disordered Systems and Neural Networks · Physics 2019-05-07 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

In spin glass models one can remove minimization of free energy by some order parameter. One can consider hierarchy of order parameters. It is possible to divide energy among these parts. We can consider relaxation process in glass system…

Disordered Systems and Neural Networks · Physics 2016-08-31 D. B. Saakian

We review the main methods used to study spin glasses. In the first part, we focus on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method,…

Disordered Systems and Neural Networks · Physics 2023-12-01 Ada Altieri , Marco Baity-Jesi

New low frequency ac susceptibility measurements on two different spin glasses show that cooling/heating the sample at a constant rate yields an essentially reversible (but rate dependent) X(T) curve; a downward relaxation of X occurs…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Jonason , E. Vincent , J. Hammann , J. P. Bouchaud , P. Nordblad

The growth of the spin-glass correlation length has been measured as a function of the waiting time $t_{\mathrm{w}}$ on a single crystal of CuMn (6 at.\%), reaching values $\xi\sim 150$ nm, larger than any other glassy correlation-length…

Disordered Systems and Neural Networks · Physics 2020-02-19 Q. Zhai , V. Martin-Mayor , D. L. Schlagel , G. G. Kenning , R. L. Orbach

The relative importance of the contributions of droplet excitations and domain walls on the ordering of short-range Edwards-Anderson spin glasses in three and four dimensions is studied. We compare the overlap distributions of periodic and…

Disordered Systems and Neural Networks · Physics 2017-04-05 Wenlong Wang

By combining the scaling relation of Amoruso {\it et al.}, PRL {\bf 97}, 267202 (2006) with standard droplet model assumptions, a value $\theta = (\sqrt{6} - 3) / 2$ is obtained. This conjecture is reasonably consistent with the best…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ronald Fisch

The \sqrt\epsilon-expansions for critical exponents of the weakly-disordered Ising model are calculated up to the five-loop order and found to possess coefficients with irregular signs and values. The estimate n_c = 2.855 for the marginal…

Statistical Mechanics · Physics 2009-10-31 B. N. Shalaev , S. A. Antonenko , A. I. Sokolov