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.
%I A381701 #24 Mar 25 2025 22:36:59 %S A381701 2,7,9,3,3,5,9,6,4,9 %N 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. %C A381701 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. %C A381701 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). %H A381701 J. Busch and D. Paschek, <a href="https://doi.org/10.1021/acs.jpcb.3c04492">OrthoBoXY: A Simple Way to Compute True Self-Diffusion Coefficients from MD Simulations with Periodic Boundary Conditions without Prior Knowledge of the Viscosity</a>. J. Phys. Chem. B 127 (2023), 7983-7987. %H A381701 B. Dünweg and K. Kremer, <a href="https://doi.org/10.1063/1.465445">Molecular dynamics simulation of a polymer chain in solution</a>. J. Chem. Phys. 99 (1993), 6983-6997. %H A381701 G. Kikugawa, T. Nakano, and T. Ohara, <a href="https://doi.org/10.1063/1.4926841">Hydrodynamic consideration of the finite size effect on the self-diffusion coefficient in a periodic rectangular parallelipiped system</a>. J. Chem. Phys. 143 (2015), 024507. %H A381701 I.-C. Yeh and G. Hummer, <a href="https://doi.org/10.1021/jp0477147">System-Size Dependence of Diffusion Coefficients and Viscosities from Molecular Dynamics Simulations with Periodic Boundary Conditions</a>. J. Phys. Chem. B 108 (2004), 15873-15879. %e A381701 2.793359649... %Y A381701 Cf. A185576. %K A381701 nonn,cons,more %O A381701 1,1 %A A381701 _Alex Eduardo Delhumeau_, Mar 04 2025