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We present new Neutron Spin Echo (NSE) results and a revisited analysis of historical data on spin glasses, which reveal a pure power-law time decay of the spin autocorrelation function $s(Q,t) = S(Q,t)/S(Q)$ at the glass temperature $T_g$,…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. Pappas , F. Mezei , G. Ehlers , P. Manuel , I. A. Campbell

In this paper, we investigate the scaling limit of heavy-tailed nearly unstable cumulative INAR($\infty$) processes. These processes exhibit a power-law tail of the form $n^{-(1+\alpha)}$ for $\alpha \in (\frac{1}{2}, 1)$, and the $\ell^1$…

Probability · Mathematics 2026-02-17 Yingli Wang , Chunhao Cai , Ping He , QingHua Wang

Time correlation functions in the Lebwohl-Lasher model of nematic liquid crystals are studied using theory and molecular dynamics simulations. In particular, the autocorrelation functions of angular momentum and nematic director…

Soft Condensed Matter · Physics 2017-10-04 Anoop Varghese , Patrick Ilg

Constitutive equations are proposed for the relaxation of a glassy material in contact with a thermal reservoir. The dynamics of a single state variable, identified as an effective temperature accounts for the emergence of glassy behavior…

Disordered Systems and Neural Networks · Physics 2016-08-16 Anaël Lemaître

A simplified nonlinear memory function is proposed in the ideal time-convolutionless mode-coupling theory equation to study the dynamics of glass-forming liquids. The numerical solutions are then compared with the simulation results…

Statistical Mechanics · Physics 2020-01-22 Michio Tokuyama

In classical semi-infinite Coulomb fluids, two-point correlation functions exhibit a slow inverse-power law decay along a uniformly charged wall. In this work, we concentrate on the corresponding amplitude function which depends on the…

Statistical Mechanics · Physics 2017-10-12 Ladislav Šamaj

Hydrodynamic fluctuations at non-zero temperature can cause slow relaxation toward equilibrium even in observables which are not locally conserved. A classic example is the stress-stress correlator in a normal fluid, which, at zero…

High Energy Physics - Theory · Physics 2009-11-10 Pavel Kovtun , Laurence G. Yaffe

We study effective relaxation time of viscous hydrodynamics of strongly coupled non-conformal gauge theory plasma using gauge theory/string theory correspondence. We compute leading corrections to the conformal plasma relaxation time from…

High Energy Physics - Theory · Physics 2009-11-27 Alex Buchel

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

The nano-particle systems under theoretically and experimentally investigation because of the potential applications in the nano-technology such as drug delivery, ferrofluids mechanics, magnetic data storage, sensors, magnetic resonance…

Materials Science · Physics 2021-03-02 E. Aydiner

Most materials age, and their properties change over time. The aging of materials is reflected in their mechanical responses to external stress and strain, which exhibit logarithmic relaxation and universal power-law creep. Those responses…

Soft Condensed Matter · Physics 2026-01-21 Vikash Pandey

We study the effect of temporal correlation in a Langevin equation describing non-adiabatic dynamics at metal surfaces. For a harmonic oscillator the Langevin equation preserves the quantum dynamics exactly and it is demonstrated that…

Materials Science · Physics 2010-10-07 Thomas Olsen , Jakob Schiøtz

Strong and fragile glass relaxation behaviours are obtained simply changing the constraints of the kinetically constrained Ising chain from symmetric to purely asymmetric. We study the out-of-equilibrium dynamics of those two models…

Statistical Mechanics · Physics 2009-11-10 Arnaud Buhot

We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptotics of correlation functions of local fields in the gas…

Condensed Matter · Physics 2009-10-31 F. Göhmann , A. G. Izergin , V. E. Korepin , A. G. Pronko

We study a stochastic process defined by the interaction strength for the return to the mean and a stochastic term proportional to the magnitude of the variable. Its steady-state distribution is the Inverse Gamma distribution, whose…

Statistical Mechanics · Physics 2019-08-01 Z. Liu , R. A. Serota

We have investigated the relaxational dynamics for a protein model at various temperatures. Theoretical analysis of this model in conjunction with numerical simulations suggests several relaxation regimes, including a single exponential, a…

Statistical Mechanics · Physics 2009-10-31 Maksim Skorobogatiy , Hong Guo , Martin Zuckermann

We propose a first-principles theoretical approach for the description of the aging of the linear viscoelastic properties of a colloidal liquid after a sudden quench into a dynamically arrested (glass or gel) state. Specifically, we couple…

Soft Condensed Matter · Physics 2024-02-23 R. Peredo-Ortiz , O. Joaquín-Jaime , L. López-Flores , M. Medina-Noyola , L. F. Elizondo-Aguilera

Using Monte Carlo simulations, we have studied isothermal aging of three-dimensional Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation function. Weak violation of the time translational invariance in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

Using Monte Carlo simulations, we have studied aging phenomena in three-dimensional Gaussian Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation functions. Weak violation of the time translational…

Disordered Systems and Neural Networks · Physics 2015-06-25 H. Takayama , H. Yoshino , T. Komori

In this paper, we study a linear system related to the 2d system of Euler equations with thermal conduction in the quasi-isobaric approximation of Kull-Anisimov [14]. This model is used for the study of the ablation front instability, which…

Analysis of PDEs · Mathematics 2007-07-03 Olivier Lafitte
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