Results 31 to 40 of about 356 (98)
Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels
Fractal and FractionalIn this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties. First, we show that this master equation can be embedded into the framework of continuous time random walks, and we derive an explicit formula ...
Maryam Alkandari +2 more
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Fluctuations of power injection in randomly driven granular gases
, 2005 We investigate the large deviation function pi(w) for the fluctuations of the power W(t)=w t, integrated over a time t, injected by a homogeneous random driving into a granular gas, in the infinite time limit.
Barrat, A. +4 more
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Classical Strongly Coupled QGP: VII. Shear Viscosity and Self Diffusion
, 2009 We construct the Liouville operator for the SU(2) classical colored Coulomb plasma (cQGP) for arbitrary values of the Coulomb coupling $\Gamma=V/K$, the ratio of the mean Coulomb to kinetic energy.
Ismail Zahed +4 more
core +1 more source
Fractional Calculus and Applied AnalysisAbstractThe causal shift-invariant convolution is studied from the point of view of inversion. Abel’s algorithm, used in the tautochrone problem, is considered and Sonin’s existence condition is deduced. To generate pairs of functions verifying Sonin’s condition, the class of Mittag-Leffler type functions is used.
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Polydispersity and optimal relaxation in the hard sphere fluid
, 2013 We consider the mass heterogeneity in a gas of polydisperse hard particles as a key to optimizing a dynamical property: the kinetic relaxation rate. Using the framework of the Boltzmann equation, we study the long time approach of a perturbed velocity ...
Barbier, Matthieu, Trizac, Emmanuel
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Extending Sonine kernels to arbitrary dimensions
Banach Journal of Mathematical AnalysisAbstract The theory of general fractional calculus with Sonine kernels has been well developed by Luchko in the one-dimensional case. Inspired by recent work on Mikusiński’s operational calculus for fractional partial differential operators, we construct a multi-dimensional version of the theory of Sonine kernels, solving a recognised open ...
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Linear hydrodynamics for driven granular gases
, 2012 We study the dynamics of a granular gas heated by the stochastic thermostat. From a Boltzmann description, we derive the hydrodynamic equations for small perturbations around the stationary state that is reached in the long time limit.
de Soria, M. I. Garcia +2 more
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Des equations de Dirac et de Schrodinger pour la transformation de Fourier
, 2003 Dyson a associe aux determinants de Fredholm des noyaux de Dirichlet pairs (resp. impairs) une equation de Schrodinger sur un demi-axe et a employe les methodes du scattering inverse de Gel'fand-Levitan et de Marchenko, en tandem, pour etudier l ...
Burnol +14 more
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Symmetrical Sonin kernels in terms of the hypergeometric functions
, 2023 In this paper, we introduce a new class of the kernels of the integral transforms of the Laplace convolution type that we call symmetrical Sonin kernels. For a symmetrical Sonin kernel given in terms of some elementary or special functions, its associated kernel has the same form with possibly different parameter values.
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Size distribution of particles in Saturn's rings from aggregation and fragmentation
, 2015 Saturn's rings consist of a huge number of water ice particles, with a tiny addition of rocky material. They form a flat disk, as the result of an interplay of angular momentum conservation and the steady loss of energy in dissipative inter-particle ...
Bodrova, Anna +6 more
core +1 more source