We show that energy fluctuations on the Bernardin-Stoltz model follow an Ornstein-Uhlenbeck equation driven by a fractional Laplacian-like operator. As a consequence, we show that heat conduction in one dimension belongs to a universality class with the same exponents of the celebrated KPZ class, but with a Gaussian behavior.
Joint work with C. Bernardin (Nice) and P. Gonçalves (Rio de Janeiro)
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