Across four noisy particle systems, entropy production rate peaks precisely at the hyperuniformity threshold, and a path-integral derivation shows this follows from the non-invertibility of the diffusion tensor at the center-of-mass-conserving noise limit.
It is obtained by integrating over the response field in the path-integral, which may be achieved as the integral is always Gaussian
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Hyperuniform systems are maximally irreversible
Across four noisy particle systems, entropy production rate peaks precisely at the hyperuniformity threshold, and a path-integral derivation shows this follows from the non-invertibility of the diffusion tensor at the center-of-mass-conserving noise limit.