Data for the paper "Emergence of long-range non-equilibrium correlations in free liquid diffusion", Journal of Chemical Physics 2025, Bussoletti M., Gallo M., Jafari A., Eyink G. L.

Data supporting the findings of the article "Emergence of long-range non-equilibrium correlations in free liquid diffusion",The Journal of Chemical Physics, 2025. Authors: Marco Bussoletti, Mirko Gallo, Amir Jafari, Gregory L. Eyink. Data are organized as follows. 1.Data for Figure 1. Particle trajectories, divided in short and long times. Data file are organized by columns as time, coordinates of particle 1, coordinates of particle 2. file names -> particle_trajectories_short_times.csv particle_trajectories_long_times.csv 2.Data for Figure 2. Mean concentration profiles evolving in time. Data file is organized by rows for different times and by columns for different values of z. file name -> first_order_cumulant.csv 3.Data for Figure 3, left panel. Second order cumulants for different values of r (by file) and times (by rows). Each file refers to a different value of r* and contains time, second cumulant, number of realizations, and Monte Carlo error on the different columns. file names -> C2_plane_vs_time_r100.csv C2_plane_vs_time_r10.csv C2_plane_vs_time_r250.csv C2_plane_vs_time_r2.csv C2_plane_vs_time_r500.csv C2_plane_vs_time_r50.csv C2_plane_vs_time_r5.csv 4.Data for Figure 3, right panel. Second order cumulants for different values of r (by rows) and times (by columns). The file contains r on the first column and second cumulant and Monte Carlo errors repeated on the different columns for each time. Therefore, each couple of columns i, starting from the second column, refers to the time instants t=1.6*10^{-7}*i^4. file name -> C2_plane_v_r_short_times.csv 5.Data for Figure 4, left panel. Data are organized as in point 4, but now with two values for each second cumulant, with the corresponding Monte Carlo errors. file names -> C2_out_of_plane_vs_time_r10.csv C2_out_of_plane_vs_time_r100.csv C2_out_of_plane_vs_time_r100.csv 6.Data for Figure 4, right panel. Data are organized as in point 4. file names -> C2_out_of_plane_vs_r_short_times.csv 7.Data for Figure 5. Second cumulants for different times (by rows), with three different values for each realization. file names -> C2_vs_time_r100.csv C2_vs_time_r250.csv C2_vs_time_r500.csv C2_vs_time_r1000.csv C2_vs_time_r5000.csv C2_vs_time_r10000.csv 8.Data for Figure 5. Second cumulants for different times (by rows), with three different values for each realization, with initially sharp interface. file names -> C2_vs_time_r100_sharp.csv C2_vs_time_r500_sharp.csv C2_vs_time_r1000_sharp.csv C2_vs_time_r5000_sharp.csv C2_vs_time_r10000_sharp.csv 9. Data for Figure 6. Data files are organized as in point 8, now with additional data for more time instants. file names -> C2_vs_time_r10000_sharp_all_times.csv C2_vs_time_r1000_sharp_all_times.csv C2_vs_time_r100_sharp_all_times.csv C2_vs_time_r5000_sharp_all_times.csv C2_vs_time_r500_sharp_all_times.csv 10.Data for Figure 7. Second order cumulants for different values of r (by rows), with second cumulant and Monte Carlo error repeated for each time by columns. Specifically, each couple of columns i, starting from the second columns, represents time=6250*(i^4). file name -> C2_plane_vs_r_long_times.csv 11.Data for Figure 8. Second cumulants for different values of the reduced variable rho and reduced time time/tau. The data file is organized in block for each value of time/tau. Each block contains time/tau, rho, time, C_2, Monte Carlo error of C_2, tau, r, number of realizations (by columns). file name -> C2_reduced_variables.csv