Diffusion of particles along an 1d lattice DocumentsThis material has 3 associated documents. Select a document title to view a document's information. Main DocumentDiffusion of particles along an 1d lattice
written by
Kostas Papamichalis This simulation uses a Markov chain to simulate the diffusion of N particles along an one dimension, finite lattice, toward the state of equilibrium. The particles are distributed along the 1D lattice cells. In a time interval of length Dt, each particle can perform just one jump between neighboring cells with a certain transition probability. The evolution of the system from its initial state to the final state of equilibrium, is described by a master equation. The initial state of the system and the transition probabilities are selected by the user. The main objective of the simulation is the confirmation of the theoretical proposition that "irrespectively of the form of the initial distribution, the system converges to a certain equilibrium state which is determined by the transition probabilities".
Last Modified November 9, 2022
Supplemental DocumentsDiffusion of Partilces Along a 1D Lattice TheoryA description of the Diffusion of Partilces Along a 1D Lattice and the theory of the Markov Process used in this simulation.
Last Modified November 9, 2022
This file is included in the fulltext index. Source Code DocumentsDiffusion of Particles on 1D Lattice Source CodeEJS source code for Diffusion of Particles on 1D Lattice Model.
Last Modified November 9, 2022
