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The frequency-dependent scaling of the dispersive and dissipative parts of the alternating susceptibility is studied for spin glasses at criticality. An extension of the usual $\omega t$-scaling is proposed. Simulational data from the…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

We take advantage of the approximation of the stretched exponential function with a general Prony series in glass relaxation to give some results about the spectral analysis for the equation of viscoelasticity. Moreover, in the case of the…

Analysis of PDEs · Mathematics 2019-06-26 Paola Loreti , Daniela Sforza

In this work we calculate the dynamical fluctuations at O(1/N) in the low temperature phase of the $p=2$ spherical spin glass model. We study the large-times asymptotic regimes and we find, in a short time-differences regime, a fluctuation…

Condensed Matter · Physics 2009-10-30 Matteo Campellone , Giorgio Parisi , Paola Ranieri

Glassy solids may undergo a fluidization (yielding) transition upon deformation whereby the material starts to flow plastically. It has been a matter of debate whether this process is controlled by a specific time scale, from among…

Soft Condensed Matter · Physics 2020-06-25 Alessio Zaccone , Eugene M. Terentjev

Active glasses refer to a class of driven non-equilibrium systems that share remarkably similar dynamical behavior as conventional glass-formers in equilibrium. Glass-like dynamical characteristics have been observed in various biological…

Soft Condensed Matter · Physics 2024-12-24 Subhodeep Dey , Smarajit Karmakar

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

Boltzmann's H-Theorem, formulated 150 years ago in terms of H-function that also bears his name, is one of the most celebrated theorems of science and paved the way for the development of nonequilibrium statistical mechanics. Nevertheless,…

Statistical Mechanics · Physics 2022-07-05 Shubham Kumar , Subhajit Acharya , Biman Bagchi

The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured…

Statistical Mechanics · Physics 2019-09-05 Anatolii V. Mokshin

We study a dynamic model of relaxor ferroelectrics based on the spherical random-bond---random-field model and the Langevin equations of motion. The solution to these equations is obtained in the long-time limit where the system reaches an…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. Pirc , R. Blinc , V. Bobnar

Liquids near the glass transition exhibit dynamical heterogeneity, i.e. local relaxation rates fluctuate strongly over space and time. Here we introduce a simple continuum model that allows for quantitative predictions for the correlators…

Soft Condensed Matter · Physics 2024-03-20 Rajib K. Pandit , Horacio E. Castillo

Within the mode-coupling theory for the evolution of structural relaxation in glass-forming systems, it is shown that the correlation functions for density fluctuations for states at A_3- and A_4-glass-transition singularities can be…

Soft Condensed Matter · Physics 2007-05-23 W. Götze , M. Sperl

We present time-dependent dielectric loss data at different frequencies for a variety of glass formers after cooling below the glass temperature. The observed aging dynamics is described using a modified Kohlrausch-Williams-Watts law, which…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. Lunkenheimer , R. Wehn , U. Schneider , A. Loidl

The non-Debye, \textit{i.e.,} non-exponential, behavior characterizes a large plethora of dielectric relaxation phenomena. Attempts to find their theoretical explanation are dominated either by considerations rooted in the stochastic…

Statistical Mechanics · Physics 2021-04-14 K. Górska , A. Horzela , T. K. Pogány

We propose a model of a heterogeneous glass forming liquid and compute the low-temperature behavior of a tagged molecule moving within it. This model exhibits stretched-exponential decay of the wavenumber-dependent, self intermediate…

Materials Science · Physics 2009-11-13 J. S. Langer , S. Mukhopadhyay

Amorphous solids or glasses are known to exhibit stretched-exponential decay over broad time intervals in several of their macroscopic observables: intermediate scattering function, dielectric relaxation modulus, time-elastic modulus etc.…

Soft Condensed Matter · Physics 2017-01-19 B. Cui , R. Milkus , A. Zaccone

We develop a sensitivity function for the design of electron optics using an adjoint approach based on a form of reciprocity implicit in Hamilton's equations of motion. The sensitivity function, which is computed with a small number of…

Accelerator Physics · Physics 2018-07-24 Thomas M. Antonsen , David Chernin , John Petillo

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

Electrochemical capacitors are a class of energy devices in which complex mechanisms of accumulation and dissipation of electric energy take place when connected to a charging or discharging power system. Reliably modeling their…

Applied Physics · Physics 2022-10-05 Anis Allagui , Hachemi Benaoum , Ahmed S. Elwakil , Mohammad Alshabi

A model glass is considered with one type of fast ($\beta$-type) of processes, and one type of slow processes ($\alpha$-type). On time-scales where the fast ones are in equilibrium, the slow ones have a dynamics that resembles the one of…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

Glass-forming liquids display strong fluctuations -- dynamical heterogeneities -- near their glass transition. By numerically simulating a binary Weeks-Chandler-Andersen liquid and varying both temperature and timescale, we investigate the…

Disordered Systems and Neural Networks · Physics 2011-08-15 Azita Parsaeian , Horacio E. Castillo