Quenched random growth rates make FKPP fronts travel faster on average by a universal factor times the disorder variance and produce diffusive position fluctuations whose strength also scales with the square of the variance.
Nonequilibrium processes: Driven lattice gases, interface dynamics, and quenched-disorder effects on density profiles and currents
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FKPP fronts in quenched random media
Quenched random growth rates make FKPP fronts travel faster on average by a universal factor times the disorder variance and produce diffusive position fluctuations whose strength also scales with the square of the variance.