Abstract
Abstract In a geometrically thin cloud layer under photon surfing over an infinite disk with uniform brightness, a wavy fluctuation automatically amplifies itself. This is a new type of instability for an inhomogeneous stratus moving at a relativistic speed in intense radiation fields. Under radiative flux and drag forces, the equilibrium speed of a wave top can reach ultra-relativistic speed, although the equilibrium speed of a wave base remains in the mildly relativistic regime ($\sim 0.45 \,c$) due to radiation drag. That is, the equilibrium speed of the wavy stratus with wavelength $\lambda$ becomes $0.99 \,c$ (Lorentz factor $\gamma \sim 10$) at height $z \sim 10 \,\lambda$. As a result, the radiation-drag limit in the astrophysical jets can be broken. The terminal speed, which depends on the strength of radiation fields as well as the wavelength, is also obtained.
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