Nonlinear Dynamics of the Chaotic Nanostructures and Nanosystems: Quantum Mechanical Approach of Noise Assisted Transport Phenomena In N-Dimensional Bis Manifold

Abstract

The term chaos is used to describe fluctuations about the mean deterministic stationary value of a physical quantity. It is now being increasingly realized that chaos is an important ingredient to bring order in dynamical processes. Though it appears counterintuitive, chaos seems to help in directing transport processes in biological systems at the molecular level. BIS stands for breakdown of integrated system. In this paper, we consider the nanosystems in the n-dimensional BIS manifold and discuss some illustrations of the chaotic nanostructures and nanosystems due to BIS processes. Temperature inhomogenicities will be explained in terms of Laudauer's Blow-torch theorem and thermodynamic efficiency of the nanosystem will be discussed in the BIS manifold. Finally we will justify the applicability of the ratchets with reference to our present studies.