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- W4381736229 abstract "An analytical expression for the diffusion coefficient $D$ of a free Brownian particle with velocity-dependent damping $ensuremath{gamma}(v)$ is derived from the Green-Kubo formula. A special case of damping that decreases monotonically with velocity is considered. At high temperature $T$, the diffusion coefficient is found to exhibit two scaling types: (i) for a power-law decrease of damping with the particle's kinetic energy, $ensuremath{gamma}(v)ensuremath{propto}1/{v}^{2ensuremath{alpha}}$, it scales as $Densuremath{propto}{T}^{ensuremath{alpha}+1}$; (ii) for a Gaussian function $ensuremath{gamma}(v)$, it diverges at temperatures above a critical value ${T}_{c}$ and behaves as $Densuremath{propto}1/sqrt{{T}_{c}ensuremath{-}T}$ at $T$ slightly below ${T}_{c}$. At $T>{T}_{c}$, the particle trajectory contains long flight events, which are not observed at $T<{T}_{c}$ in case (ii) and at all temperatures in case (i)." @default.
- W4381736229 created "2023-06-24" @default.
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- W4381736229 date "2023-06-23" @default.
- W4381736229 modified "2023-09-25" @default.
- W4381736229 title "Diffusion coefficient scaling of a free Brownian particle with velocity-dependent damping" @default.
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- W4381736229 doi "https://doi.org/10.1103/physreve.107.064129" @default.
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