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)