Time-dependent Landauer–Büttiker formula for transient dynamics

Time-dependent Landauer-Büttiker formula: Application to transient dynamics in graphene nanoribbons

Riku Tuovinen,1 Enrico Perfetto,2 Gianluca Stefanucci,2,3,4 and Robert van Leeuwen1,4 1Department of Physics, Nanoscience Center, FIN 40014, University of Jyväskylä, Finland 2Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Rome, Italy 3Laboratori Nazionali di Frascati, Istituto Nazionale di Fisica Nucleare, Via E. Fermi 40, 00044 Frascati, Italy ...

PRODUCT FORMULA ALGORITHMS FOR SOLVING THE TIME DEPENDENT SCHRiiDINGER EQUATION

Transient shear banding in time-dependent fluids.

We study the dynamics of shear-band formation and evolution using a simple rheological model. The description couples the local structure and viscosity to the applied shear stress. We consider in detail the Couette geometry, where the model is solved iteratively with the Navier-Stokes equation to obtain the time evolution of the local velocity and viscosity fields. It is found that the underlyi...

Transient Loss Guarantees for Long - Range Dependent Multiple Time -

Recent work has demonstrated that long-range dependence (LRD) and multiple timescales are important characteristics of realistic traac. LRD traac that exhibits multiple time scales poses a signiicant challenge to performance guarantee. In this paper, we examine the impact of LRD in traac, and address issues concerning how to compute and guarantee loss performance for LRD multiple timescale traa...

Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...