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- W4310284976 abstract "We study dynamic correlations for current and mass, as well as the associated power spectra, in the one-dimensional conserved Manna sandpile. We show that, in the thermodynamic limit, the variance of cumulative bond current up to time $T$ grows subdiffusively as $T^{1/2-mu}$ with the exponent $mu ge 0$ depending on the density regimes considered and, likewise, the power spectra of current and mass at low frequency $f$ varies as $f^{1/2+mu}$ and $f^{-3/2+mu}$, respectively; our theory predicts that, far from criticality, $mu = 0$ and, near criticality, $mu = (beta+1)/2 nu_{perp} z > 0$ with $beta$, $nu_{perp}$ and $z$ being the order-parameter, correlation-length and dynamic exponents, respectively. The anomalous suppression of fluctuations near criticality signifies a ``dynamic hyperuniformity'', characterized by a set of fluctuation relations, in which current, mass and tagged-particle displacement fluctuations are shown to have a precise quantitative relationship with the density-dependent activity (or, it's derivative). In particular, the relation, ${mathcal{D}}_s(bar{rho}) = a(bar{rho}) / bar{rho}$, between the self-diffusion coefficient ${mathcal{D}}_s(bar{rho})$, activity $a(bar{rho})$ and density $bar{rho}$ explains a previous simulation observation [Eur. Phys. J. B textbf{72}, 441 (2009)] that, near criticality, the self-diffusion coefficient in the Manna sandpile has the same scaling behavior as the activity." @default.
- W4310284976 created "2022-11-30" @default.
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- W4310284976 date "2022-11-25" @default.
- W4310284976 modified "2023-09-25" @default.
- W4310284976 title "Dynamic correlations in the conserved Manna sandpile" @default.
- W4310284976 doi "https://doi.org/10.48550/arxiv.2211.14070" @default.
- W4310284976 hasPublicationYear "2022" @default.
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