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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

User: Alex Eduardo Delhumeau

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A381701 Decimal expansion of the universal aspect ratio, also called the magic box length ratio, L_z/L_x = L_z/L_y, for which the finite-size error of the self-diffusion coefficient vanishes.

Original entry on oeis.org

2, 7, 9, 3, 3, 5, 9, 6, 4, 9
Offset: 1

Author

Alex Eduardo Delhumeau, Mar 04 2025

Keywords

Comments

Derived by Kikugawa et al. (2015) for a rod-shaped rectangular box (box with lengths L_x = L_y <= L_z) with periodic boundary conditions. The self-diffusion coefficient in the x (and y) direction of a monoatomic Lennard-Jones fluid, calculated from molecular dynamics simulation using the Einstein-Helfand formula, D_xx ( = D_yy), becomes system-size independent and represents the true self-diffusion coefficient, D_0.
Based on the expression for the finite-size correction to the self-diffusion coefficient derived from hydrodynamic theory by B. Dünweg and K. Kremer (1993) and greatly popularized by I.-C. Yeh and G. Hummer (2004). Computed to nine decimal places by J. Busch and D. Paschek (2023).

Examples

			2.793359649...
		

Crossrefs

Cf. A185576.