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- W1998087495 endingPage "P02007" @default.
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- W1998087495 abstract "We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding non-linear integro-differential equations for the relevant correlators are solved analytically and checked numerically. In particular, we find that the memory functions exhibit a power-law decay accompanied by relatively fast oscillations. Furthermore, the scaling behaviour and, correspondingly, the universality class depend on the order of the leading non-linear term. In the cubic case, both viscosity and thermal conductivity diverge in the thermodynamic limit. In the quartic case, a faster decay of the memory functions leads to a finite viscosity, while the thermal conductivity exhibits an even faster divergence. Finally, our analysis puts on a firmer basis the previously conjectured connection between anomalous heat conductivity and anomalous diffusion." @default.
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- W1998087495 date "2007-02-08" @default.
- W1998087495 modified "2023-09-25" @default.
- W1998087495 title "Anomalous kinetics and transport from 1D self-consistent mode-coupling theory" @default.
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- W1998087495 doi "https://doi.org/10.1088/1742-5468/2007/02/p02007" @default.
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