Table 1 Definitions of variables.
From: Spatial Competition: Roughening of an Experimental Interface
Symbols | Definitions |
|---|---|
Lx, Ly(=L) | Lattice size (L = interface length = front length) |
hy(t) | Rightmost invader in row y at time t |
| Mean of hy(t) (the average is taken across all rows y) |
hmax(t) | Rightmost invader at time t, front-runner |
| Distance from front-runner to mean of front |
〈w2〉 | Mean squared interface width |
ξ(t) | Correlation length along interface |
t × | Crossover time, where w2 equilibrates |
α | Roughness exponent |
β | Growth exponent |
z | Dynamic exponent |
ρt(h) | Mean invader density at height h(t) |