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Entropy production and dynamical activity are two complementary aspects innonequilibrium physics. The asymmetry of cross-correlation, serving as adistinctive feature of nonequilibrium, also finds widespread utility. In thisLetter, we establish two thermodynamic bounds on the normalized asymmetry ofcross-correlation in terms of dynamical activity and entropy production rate.These bounds demonstrate broad applicability, and offer experimentaltestability.

Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production