【摘 要】
:
Recent experiments and numerical simulations have shown that disorder in mesoscopic systems can be of fractal(self-similar)type.Conductance of such systems
【机 构】
:
UlyanovskStateUniversity,DepartmentofTheoreticalPhysics,Russia
【出 处】
:
The 5th International Conference on Nonlinear Science and Co
论文部分内容阅读
Recent experiments and numerical simulations have shown that disorder in mesoscopic systems can be of fractal(self-similar)type.Conductance of such systems can not be described in frames of the quasi-one-dimensional(1D)Dorokhov-Mello Pereyra-Kumar(DMPK)approach and its multidimentional generalizations.We derive a fractional analogue of the DMPK-equation for the joint probability distribution of the transmission eigenvalues in case of fractal disorder characterized by a heavytailed distribution of distances between scatterers.The equation contains fractional derivative describing the non-locality of the process,its solutions are related to the Levy stable statistics.Analytical results agree with Monte-Carlo simulations of disordered wires and with particular results obtained in [C.W.J.Beenakker et al.,Phys.Rev.B 79,024204(2009)] and [F.Falceto & V.Gopar,Europhys.Lett.92,57014(2010)].The results are also applicable to description of conductance through 1D system with sublocalized electrons and light transmission through fractal photonic quasi-1D wires.
其他文献
A matter-element model and correlation functions of running state is established in the paper based on the high-voltage circuit breaker operating state eval
This study develops a nonlinear spatiotemporal dynamic model of vegetation growth and soil erosion.Involving the spatial scale,the new model can be employed
The drawbar mechanism of a motor built-in high speed spindle with ATC is to provide the clamping force to grip the toolholder for high speed cutting.The con
Most of the dynamical systems encountered in engineering are nonlinear continuous dynamic systems,which have rich variety of nonlinear phenomena,such as lar
In this work we suggest the name “multifractional semimartingale” for a recently proposed stochastic process by proving that this semimartingale has long-
A fluid structure interaction method for airfoil with a local flexible structure is presented for flow control of Micro Air Vehicles.An improved ALE-CBS sch
Many experimentalists were accustomed to think that any independent measurement forms a non-correlated(independent)measurement that depends weakly from othe
Intrathermocline anticyclonic eddies of Mediterranean origin(meddies)are regularly met in the Eastern part of the Atlantic Ocean.These vortices are identifi
Analytical solutions of periodic motions in a time-delayed,quadratic nonlinear oscillator with periodic excita-tion are obtained through the finite Fourier
The residual stenosis estimation of an arterio-venous shunt(AVS)is a valuable for evaluating outcomes of percutaneous transluminal angioplasty(PTA)treatment