A Naive Model of Covid-19 Spread From A Dry Cough

Health experts have suggested that social distancing measures are one of the most effective ways of preventing the spread of Covid-19. Research primarily focused on large Covid filled droplets suggested that these droplets can move further than regulated social distancing guidelines (2 meters apart) in the presence of wind. This project aims to model the paths of smaller Covid virions that last longer in the air to see if they also move beyond social distancing norms in the presence of wind. By numerically solving a 2-dimensional Langevin equation for 3000 particles and modeling wind as one-dimensional and steady, velocities were found that translated into particles' positions. With wind, infectious doses of virions appeared to travel farther and faster, increasing the risk of infection before dispersion. The two-dimensional model given implies that social distancing norms are reasonable in cases with no wind, yet not conservative enough when there is wind.
Comment: 9 pages, 7 figures