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Fluctuations of the Lyapunov exponent in disordered systems
The fluctuations of the maximum Lyapunov exponent of a product of random matrices are studied analytically and numerically. It is shown that they may be expressed as a sum of two terms, one related
Non-Markovian Magnetization Dynamics for Uniaxial Nanomagnets
A stochastic approach for the description of the time evolution of the magnetization of nanomagnets is proposed, that interpolates between the Landau-Lifshitz-Gilbert and the Landau-Lifshitz-Bloch
Ion-dipole interactions in concentrated organic electrolytes.
An algorithm is proposed for calculating the energy of ion-dipole interactions in concentrated organic electrolytes and a fair agreement between experimental and calculated activation energy has been found for systems composed of gamma-butyrolactone as solvent and lithium perchlorate, lithium tetrafluoroborate, and lithium hexafluorophosphate.
Colored-Noise Magnetization Dynamics: From Weakly to Strongly Correlated Noise
Statistical averaging theorems allow us to derive a set of equations for the averaged magnetization dynamics in the presence of colored (non-Markovian) noise. The non-Markovian character of the noise
Stability-Capacity Diagram of a Neural Network with Ising Bonds
The stability-capacity diagram of a fully connected neural network, whose bonds take the values 1 and -1 with equal probability, is determined numerically. Two different optimization methods
Neural potentials as stimuli for attractor neural networks
It is found that, below saturation of the free network, the persistent stimulus does not damage the retrieval properties of thefree network up to rather high values of the field amplitude, and even above saturation, for all loading levels, the network corrects errors if theField amplitude is not too low.
Hierarchies of Landau-Lifshitz-Bloch equations for nanomagnets: A functional integral framework
A functional calculus approach is applied to the derivation of evolution equations for the moments of the magnetization dynamics of systems subject to stochastic fields. It allows us to derive a
Nutation wave as a platform for ultrafast spin dynamics in ferromagnets
At short time scales the inertia term becomes relevant for the magnetization dynamics of ferromagnets and leads to nutation for the magnetization vector. For the case of spatially extended magnetic