Fokker-Planck formalism in magnetic resonance simulations.

Stochastic Resonance, Brownian Ratchets and the Fokker-Planck Equation

Our immediate aim is to arrive at quantitative realistic estimates of the optimum noise levels for a complete and feasible Brownian ratchet device. A number of difficult “Unsolved Problems of Noise” naturally arise in the course of this work. We pose a general philosophical question: “Is it is possible to relate stochastic resonance and Brownian ratchets in a formal way, through a consideration...

Numerical Studies and Simulation of the Lower Hybrid Waves Current Drive by using Fokker – Planck Equation in NSST and HT-7 Tokamaks

Recent experiments on the spherical tokamak have discovered the conditions to create a powerful plasma and ensure easy shaping and amplification of stability, high bootstrap current and confinement energy. The spherical tours (ST) fusion energy development path is complementary to the tokamak burning plasma experiment such as NSTX and higher toroidal beta regimes and improves the design of a po...

Memory Formalism, Nonlinear Techniques, and Kinetic Equation Approaches

Distinct applications of the tools of statistical mechanics to address several unconnected complex observations in interdisciplinary science are explained in four parts. The first deals with the memory function formalism and its application to varied topics: the origin of irreversibility, photosynthesis, sensitized luminescence, stress distribution in granular compacts, and magnetic resonance i...

Iterative methods for solving non linear Fokker-Planck equation

Pseudo-spectral ‎M‎atrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation

This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.