Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-19
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevE.70.021901
The process of protein synthesis in biological systems resembles a one dimensional driven lattice gas in which the particles (ribosomes) have spatial extent, covering more than one lattice site. Realistic, nonuniform gene sequences lead to quenched disorder in the particle hopping rates. We study the totally asymmetric exclusion process with large particles and quenched disorder via several mean field approaches and compare the mean field results with Monte Carlo simulations. Mean field equations obtained from the literature are found to be reasonably effective in describing this system. A numerical technique is developed for computing the particle current rapidly. The mean field approach is extended to include two-point correlations between adjacent sites. The two-point results are found to match Monte Carlo simulations more closely.
Lee Kelvin H.
Sethna James P.
Shaw Brandon L.
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