Asymptotic analysis of transport processes

Asymptotic Analysis of Transport Processes

For a large class of processes called transport processes we study in detail a certain asymptotic limit, the diffusion limit. Transport processes arise in linear transport theory, learning theory, nonlinear oscillations in the presence of noise and other problems. We examine closely some examples and give complete proofs for the results stated here.

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic Analysis of Extreme Electrochemical Transport

In the study of electrochemical transport processes, experimental exploration currently outpaces theoretical understanding of new phenomena. Classical electrochemical transport theory is not equipped to explain the behavior of electrochemical systems in the extreme operating conditions required by modern devices. In this thesis, we extend the classical theory to examine the response of two elec...

The Quantum Statistical Mechanical Theory of Transport Processes

A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.

asymptotic behavior of multivariate reward processes with nonlinear reward functions