Intermittent quakes and record dynamics in the thermoremanent magnetization of a spin-glass

Abstract

A novel method for analyzing the intermittent behavior of linear response data in aging systems is presented and applied to spin-glass thermoremanent magnetization (TRM) (Rodriguez et al. Phys. Rev. Lett. 91, 037203, 2003). The probability density function (PDF) of magnetic fluctuations is shown to have an asymmetric exponential tail, demonstrating that the demagnetization process is carried by intermittent, significant, spin rearrangements or \emph{quakes}. These quakes are most pronounced shortly after the field removal, $t/t_w\approx 1$ and in the non-equilibrium aging regime $t/t_w>>1$. For a broad temperature range, we study the dependence of the TRM decay rate on $t$, the time since the initial quench and on $t_w$, the time at which the magnetic field is cut. The $t$ and $t_w$ dependence of the rate is extracted numerically from the data and described analytically using the assumption that the linear response is subordinated to the intermittent process which spasmodically release the initial imbalances created by the quench.

8 pages, 9 figures. The paper has been expanded and restructured, the figures have been enlarged and improved. Final version, to appear in Phy. Rev. B

References in corpus (5)

• Evolution in complex systems
• Record dynamics and the observed temperature plateau in the magnetic creep rate of type II superconductors
• Intermittency, aging and record fluctuations
• Aging and intermittency in a p-spin model of a glass
• Mesoscopic fluctuations and intermittency in aging dynamics

Cited by in corpus (41)

• Records in stochastic processes -- Theory and applications
• Record statistics and persistence for a random walk with a drift
• Record statistics of a strongly correlated time series: random walks and Lévy flights
• Record Statistics for Multiple Random Walks
• Record statistics for random walks and Lévy flights with resetting
• Linear response in aging glassy systems, intermittency and the Poisson statistics of record fluctuations
• Evolution and non-equilibrium physics. A study of the Tangled Nature Model
• Record Dynamics: Direct Experimental Evidence from Jammed Colloids
• Exact statistics of record increments of random walks and Lévy flights
• Record-breaking statistics for random walks in the presence of measurement error and noise
• Statistics of the Number of Records for Random Walks and Lévy Flights on a $1D$ Lattice
• Record statistics of financial time series and geometric random walks
• Modeling record-breaking stock prices
• Universal survival probability for a correlated random walk and applications to records
• Origin of `end of aging' and sub-aging scaling behavior in glassy dynamics
• Rounding Effects in Record Statistics
• Aging is a log-Poisson Process, not a Renewal Process
• Aging in Dense Colloids as Diffusion in the Logarithm of Time
• Correlations between record events in sequences of random variables with a linear trend
• Universal Features of Annealing and Aging in Compaction of Granular Piles
• Statistical properties of avalanches via the c-record process
• Aging and intermittency in a p-spin model of a glass
• Conductance noise in an out-of-equilibrium two-dimensional electron system
• Mesoscopic real space structures in aging spin-glasses: the Edwards-Anderson model
• Coarse-graining complex dynamics: Continuous Time Random Walks vs. Record Dynamics
• Record Dynamics in the Parking Lot Model
• Two-Time Correlations for Probing the Aging Dynamics of Jammed Colloids
• Thermal shifts and intermittent linear response of aging systems
• Linear response subordination to intermittent energy release in off-equilibrium aging dynamics
• Record dynamics of evolving metastable systems: theory and applications
• Records in Fractal Stochastic Processes
• Extreme Event Statistics in a Drifting Markov Chain
• Dynamics of dense hard sphere colloidal systems: a numerical analysis
• Extremal fluctuations driving the relaxation in glassy energy landscapes
• Real-space model for activated processes in rejuvenation and memory behavior of glassy systems
• Optimization by Record Dynamics
• Record breaking statistics near second order phase transitions
• Density Fluctuations in Granular Piles Traversing the Glass Transition: A Grain-Scale Characterization of the Transition via the Internal Energy
• Instability cascades in crumpling mylar sheets follow a log-Poisson statistic
• Generalized Khinchin Theorem for a Class of Aging Processes
• Spin-glass thermo-remanent magnetization revisited: a numerical and analytical study