Order of current variance and diffusivity in the asymmetric simple exclusion process
نویسندگان
چکیده
We prove that the variance of the current across a characteristic is of order t in a stationary asymmetric simple exclusion process, and that the diffusivity has order t. The proof proceeds via couplings to show the corresponding moment bounds for a second class particle.
منابع مشابه
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We prove that the variance of the current across a characteristic is of order t in a stationary constant rate totally asymmetric zero range process, and that the diffusivity has order t. This is a step towards proving universality of this scaling behavior in the class of one-dimensional interacting systems with one conserved quantity and concave hydrodynamic flux. The proof proceeds via couplin...
متن کامل9 A pr 2 00 8 Order of current variance and diffusivity in the rate one totally asymmetric zero range process
We prove that the variance of the current across a characteristic is of order t in a stationary constant rate totally asymmetric zero range process, and that the diffusivity has order t. This is a step towards proving universality of this scaling behavior in the class of one-dimensional interacting systems with one conserved quantity and concave hydrodynamic flux. The proof proceeds via couplin...
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