Summary: A physico-mathematical model is developed and the variation of the charge on soot particles interacting with positive and negative ions in the exhaust of modern subsonic aircraft is simulated numerically. The calculations are based the gas dynamic system of equations for an axisymmetric turbulent isobaric jet. The system is supplemented with the thermodynamic relations, kinetic equations, and equations for the turbulent viscosity. Ion and neutral and charged soot particle concentration distributions over the exhaust jet on the ground and under cruising flight conditions are obtained.