Image Details
Caption: Figure 16.
(a) Dependence on the magnetization ﹩{\sigma }_{{\rm{i}}}﹩ (normalized to rest-mass energy density) of electron total heating efficiency ﹩{M}_{u{\rm{e}},\mathrm{tot}}﹩ (solid blue), irreversible heating efficiency ﹩{M}_{u{\rm{e}},\mathrm{irr}}﹩ (dashed blue), proton total heating efficiency ﹩{M}_{u{\rm{i}},\mathrm{tot}}﹩ (solid red), and proton irreversible heating efficiency ﹩{M}_{u{\rm{i}},\mathrm{irr}}﹩ (dashed red). (b) Dependence on the magnetization ﹩{\sigma }_{{\rm{i}}}﹩ of the electron-to-overall heating ratio ﹩{q}_{u{\rm{e}},\mathrm{tot}}﹩ (solid blue) as in Equation (31), electron-to-overall irreversible heating ratio ﹩{q}_{u{\rm{e}},\mathrm{irr}}﹩ (dashed blue) as in Equation (32), and empirical formula Equation (33) (dotted black) obtained by Werner et al. (2016) in the case ﹩{\beta }_{{\rm{i}}}=0.01﹩. Here, ﹩{\beta }_{{\rm{i}}}\approx 0.03,﹩ ﹩{T}_{{\rm{e}}}/{T}_{{\rm{i}}}=1,﹩ and ﹩{m}_{{\rm{i}}}/{m}_{{\rm{e}}}=1836﹩.
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