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- W2023961525 abstract "With the help of Monte Carlo simulations, the one-dimensional diffusion motion of a chain of N beads is studied to determine its diffusion coefficient and viscosity. We found that the end bead movements with respect to that of the central beads play a key role. There is no memory between bead hops but they become correlated as a consequence of the chain dynamics. This determines the scaling exponents and the relation connecting them. In particular, the scaling exponent for the viscosity can be smaller or greater than 3 but it must scale as ${N}^{3}$ in the asymptotic regime $(stackrel{ensuremath{rightarrow}}{N}ensuremath{infty}).$ We analyze in detail the dynamics of a chain with three beads to explain why the expected relation between diffusivity and viscosity exponents is not satisfied." @default.
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- W2023961525 date "2003-03-21" @default.
- W2023961525 modified "2023-10-16" @default.
- W2023961525 title "Discretized model for diffusion of a chain in one dimension" @default.
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- W2023961525 doi "https://doi.org/10.1103/physreve.67.031804" @default.
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