Premium
Diffusion of color in the simple exclusion process
Author(s) -
Quastel Jeremy
Publication year - 1992
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160450602
Subject(s) - mathematics , limiting , diffusion , colored , random walk , simple (philosophy) , statistical physics , diffusion process , limit (mathematics) , scaling , scaling limit , simple random sample , particle (ecology) , mathematical analysis , statistics , innovation diffusion , geometry , thermodynamics , physics , computer science , materials science , philosophy , knowledge management , oceanography , engineering , composite material , epistemology , mechanical engineering , geology , population , sociology , demography
We prove a diffusion scaling limit for the macroscopic densities of colored particles performing the simply excluded random walk, and relate this to the limiting behavior of a test particle in equilibrium.