Canonical perturbation theory shows that orbit-averaged theory only requires the time-scale separation between equilibrium and perturbed motions and verifies the conventional concept that orbit averaging effects greatly reduce the transport of energetic particles by microturbulence in tokamak. Thereafter, a recent claim [Phys. Rev. Lett. 102, 075004 (2009); 107, 239502 (2011)] of the orbit-aver...

The use of rigid body models during frictional contact i s often justified by proving the existence of a unique solution to the forward dynamic equations. The implicit assumption here is that the contact forces so obtained are stable. In this paper, the rigid-body assumption is relaxed and bodyto-body contacts are modeled using springs and dampers. A singular perturbation analysis reveals addit...

Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierential equations. The nonlinearterms can be handled by the use of homotopy perturbation method. The resultsshow the eciency of this me...

Many time-dependent linear partial differential equations of mathematical physics and continuum mechanics can be phrased in the form an abstract evolutionary system defined on a Hilbert space. In this paper we discuss general framework for homogenization (periodic stochastic) such systems. The method combines unified space approach to systems with operator theoretic reformulation well-establish...

We investigate a general scenario for "glassy" or "jammed" systems driven by an external, nonconservative force, analogous to a shear force in a fluid. In this scenario, the drive results in the suppression of the usual aging process, and the correlation and response functions become time translation invariant. The relaxation time and the response functions are then dependent on the intensity o...