56 citations · 96 across the 4 of their papers we have counts for
4 papers
Analytical Solution to Transport in Brownian Ratchets via Gambler's Ruin Model
X. Z. Cheng, M. B. A. Jalil, Hwee Kuan Lee
We present an analogy between the classic Gambler's Ruin problem and the thermally-activated dynamics in periodic Brownian ratchets. By considering each periodic unit of the ratche…
Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics
X. Z. Cheng, M. B. A Jalil, Hwee Kuan Lee
In this paper, we reexamine the validity of using time quantified Monte Carlo (TQMC) method [Phys. Rev. Lett. 84, 163 (2000); Phys. Rev. Lett. 96, 067208 (2006)] in simulating the…
Mapping Monte Carlo to Langevin dynamics: A Fokker-Planck approach
X. Z. Cheng, M. B. A. Jalil, Hwee Kuan Lee +1
We propose a general method of using the Fokker-Planck equation (FPE) to link the Monte-Carlo (MC) and the Langevin micromagnetic schemes. We derive the drift and disusion FPE term…
A new time quantifiable Monte Carlo method in simulating magnetization reversal process
X. Z. Cheng, M. B. A. Jalil, H. K. Lee +1
We propose a new time quantifiable Monte Carlo (MC) method to simulate the thermally induced magnetization reversal for an isolated single domain particle system. The MC method inv…