2005/11/18 by John L. Haller, John L. Haller Jr, Haller, John L.
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fractal and DNA sequence analysis #Gene expression and cancer classification #Medical Physics (physics.med-ph) #Neural Networks and Applications #physics.comp-ph #physics.med-ph
paper · pdf · doi:10.48550/arxiv.physics/0511156
11 pages plus a computer code
arxiv created 2005/11/18 · openalex publication_date 2005/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A computer code is written that simulates the relaxation back to thermal equilibrium of an ensemble of particles after a pi/2 pulse. Beginning with Bloch's equations the exponential relaxation behavior is discussed and the transition into a step by step process (from the continuous process) is made such that it is possible for the computer code to simulate the action. An analysis of Boltzmann's factor is offered and serves as the link between the temperature of the ensemble and the parameter that is used to determine if a spin is in the up state or the down state. The specifics of the code are discussed and the spins are shown to follow the rules of interaction governed by the physical collisions that can take place. Lastly, graphs of the simulation are provided and a discussion of its usefulness is given.