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Stochastic acceleration of particles under a pressure balance condition canaccommodate the universal $p^{-5}$ spectra observed under many differentconditions in the inner heliosphere. In this model, in order to avoid aninfinite build up of particle pressure, a relationship between the momentumdiffusion of particles and the adiabatic deceleration in the solar wind mustexist. This constrains both the spatial and momentum diffusion coefficients andresults in the $p^{-5}$ spectrum in the presence of adiabatic losses in thesolar wind. However, this theory cannot explain the presence of such spectrabeyond the termination shock, where adiabatic deceleration is negligible. Toexplain this apparent discrepancy, we include the effect of charge exchangelosses, resulting in new forms of both the spatial and momentum diffusioncoefficients that have not previously been considered. Assuming that theturbulence is of a large-scale compressible nature, we find that a balancebetween momentum diffusion and losses can still readily lead to the creation of$p^{-5}$ suprathermal tails, including those found in the outer heliosphere.

Charge Exchange Losses and Stochastic Acceleration in the Solar Wind