Stationary States for the Kac Equation with a Gaussian Thermostat
نویسنده
چکیده
We study the stationary Kac equation in the presence of an external force field and a Gaussian thermostat, and investigate the behavior of a solution to this equation for varying field strength. We prove that for a weak field, the stationary density is continuous, but for a strong field the density has a singularity. Monte Carlo simulations illustrating the same are also presented.
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