Fisher Equation for a Decaying Brane

Abstract

We consider the inhomogeneous decay of an unstable D-brane. The dynamical equation that describes this process (in light-cone time) is a variant of the non-linear reaction-diffusion equation that first made its appearance in the pioneering work of (Luther and) Fisher and appears in a variety of natural phenomena.

8 pages, 4 figures

References in corpus (4)

• Dynamics with Infinitely Many Derivatives: Variable Coefficient Equations
• Dynamics and Stability of Light-Like Tachyon Condensation
• Rolling Solution for Tachyon Condensation in Open String Field Theory
• Light-like tachyon condensation in Open String Field Theory

Cited by in corpus (7)

• Lump solutions in SFT. Complements
• Travelling Front of a Decaying Brane in String Field Theory
• Standard Cosmology Delayed
• Reaction-diffusion equation for quark-hadron transition in heavy-ion collisions
• Setting Initial Conditions for Inflation with Reaction-Diffusion Equation
• Possibility of DCC formation in pp collisions at LHC energy via reaction-diffusion equation
• Stability of the Travelling Front of a Decaying Brane