Specific Examples
To illustrate some features of ion acoustic waves, we can consider some specific examples of the general dispersion relation given above. First, for a single ion species, we find
For any number of ion species, all of which are cold, we obtain
A case of interest to nuclear fusion is an equimolar mixture of deuterium and tritium ions . Let us specialize to full ionization, equal temperatures, polytrope exponents, and neglect the contribution. The dispersion relation becomes a quadratic in, namely:
where, is the atomic mass unit, and . Using we find the two roots are .
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