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Journal Nonlinear World №5 for 2011 г.
Article in number:
Fractional Wave Equation for Dielectrics with Havriliak-Negami Response
Keywords: dielectric relaxation fractional powers of operators wave equation Monte Carlo method
Authors:
V.V. Uchaikin, R.T. Sibatov, D.V. Uchaikin, D.V. Schulezhko
Abstract:
The fractional generalizations of the relaxation equation and the wave equation in dielectrics with the response function of the Havriliak-Negami type are considered. The obtained fractional wave equation is concordant with the equation obtained in [Tarasov V. E. J. Phys.: Condens. Matter, 20 (2008) 145212] from Jonscher's universal law. The explicit expression for the fractional operator in this equation is obtained and the Monte Carlo algorithm for calculation of actions of this operator and of the inverse one is constructed
Pages: 294-301
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