%0 Book Section %1 statphys23_0261 %A Bainova, A.B. %A Arkhincheev, V.E. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K comb disordered equations fractional homogeneous isotropic model non-maxwell order relaxation statphys23 systems topic-3 %T NonMaxwell relaxation and fractional order relaxation equations %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=261 %X As well known the charge relaxation in homogeneous isotropic systems has the Maxwell exponential character. In the case of inhomogeneous media it seems that it Maxwell is conserved with replacement of medium conductivity for its effective value. But strict study shows that it is not so. In this report it was shown that there are two physical mechanisms of non-Maxwell relaxation in disordered systems. The new fractional order relaxation equations are deduced. The first mechanism is studied at Comb model. In this model non-Maxwell relaxation occurs because motion of charge is possible only along two-dimensional comb structure, but electric field has all three components. This mechanism was established firstly for low-dimensional anisotropic systems and as it will be show it is described by the fractional temporal relaxation equation. Second mechanism is appeared at heterogeneous media with interface boundaries. At these interfaces the surface charge is appeared, which changed with together alternating electric field. It leads to the frequency dependence of effective conductivity of heterogeneous media. In the case of two-phase media the relaxation equation has the form of continuity equation with frequency dependence of conductivity.

@incollection{statphys23_0261, abstract = {As well known the charge relaxation in homogeneous isotropic systems has the Maxwell exponential character. In the case of inhomogeneous media it seems that it Maxwell is conserved with replacement of medium conductivity for its effective value. But strict study shows that it is not so. In this report it was shown that there are two physical mechanisms of non-Maxwell relaxation in disordered systems. The new fractional order relaxation equations are deduced. The first mechanism is studied at Comb model. In this model non-Maxwell relaxation occurs because motion of charge is possible only along two-dimensional comb structure, but electric field has all three components. This mechanism was established firstly for low-dimensional anisotropic systems and as it will be show it is described by the fractional temporal relaxation equation. Second mechanism is appeared at heterogeneous media with interface boundaries. At these interfaces the surface charge is appeared, which changed with together alternating electric field. It leads to the frequency dependence of effective conductivity of heterogeneous media. In the case of two-phase media the relaxation equation has the form of continuity equation with frequency dependence of conductivity.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Bainova, A.B. and Arkhincheev, V.E.}, biburl = {https://www.bibsonomy.org/bibtex/2634ba68017e39630ed4d72cdded557ea/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {2ad92c1045e60bffa4358a8f7749a820}, intrahash = {634ba68017e39630ed4d72cdded557ea}, keywords = {comb disordered equations fractional homogeneous isotropic model non-maxwell order relaxation statphys23 systems topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:15.000+0200}, title = {NonMaxwell relaxation and fractional order relaxation equations}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=261}, year = 2007 }