All Figures

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{1668fig1.eps} \end{figure}$ Figure 1: Compression ratio versus unshocked magnetic field for a constant shock speed $V_{{\rm sk}}$ and different values of the injection efficiency $\eta _{\rm inj}$ ( top panel), and for a constant injection efficiency and different values of the shock velocity ( bottom panel). For each set of parameters, the upper curve corresponds to adiabatic heating in the precursor and the lower one to Alfvén-wave heating in the precursor. In the latter case, $r_{\rm tot}$ is dramatically reduced as B₀ increases.
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In the text

$\begin{figure} \par\includegraphics[width=8.2cm,clip]{1668fig2.eps} \end{figure}$ Figure 2: All curves are for the reverse shock and use the same set of parameters with a constant magnetic field $B_{\rm ej}=3\times 10^{-8}$ G. The only variable is the maximum speed of the ejecta $V_{{\rm max}}^{{\rm ej}}$ which is $4\times 10^{4}$ km s^-1 for the solid curves, $3\times 10^{4}$ km s^-1 for the dotted curves, and $2\times 10^{4}$ km s^-1 for the dashed curves. For comparison, we show the results obtained analytically, where $V_{{\rm max}}^{{\rm ej}}$ is not limited, for the same set of parameters using modified Chevalier solutions. While all curves converge after several decades, the early evolution depends on the different hydrodynamic initial conditions. The simulation curves are truncated when $p_{\rm max}< 2 m_{\rm p}c$ .
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In the text

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{1668fig3.eps} \end{figure}$ Figure 3: In each panel, RS results are shown for $B_{\rm ej}=3\times 10^{-6}$ G (solid curves), $3\times 10^{-7}$ G (dot-dashed curves), $3\times 10^{-8}$ G (dashed curves), and $3\times 10^{-9}$ G (dotted curves). The long-dashed curves in the top and middle panels are analytic results with $B_{\rm ej}=3\times 10^{-7}$ G. In the bottom panel, $E_{\rm eff}$ is the RS acceleration efficiency and $E_{\rm CR}/E_{\rm SN}$ is the fraction of SN explosion energy going into CRs. The curve labeled "FS'' is $E_{\rm CR}/E_{\rm SN}$ for the FS (FS results are insensitive to $B_{\rm ej}$ ). In all cases, $B_{\rm ISM}=3\times 10^{-6}$ G and curves are truncated when $p_{\rm max}< 2 m_{\rm p}c$ .
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In the text

$\begin{figure} \par\includegraphics[width=8.3cm,clip]{1668fig4.eps} \end{figure}$ Figure 4: The top panel shows the plasma density vs. radius and the bottom panel shows the temperature vs. radius. In both panels, the solid curves include the effects of efficient DSA with a constant ejecta magnetic field $B_{\rm ej}=3\times 10^{-6}$ G, the dashed curves assume $B_{\rm ej}=3\times 10^{-8}$ G, and the dotted curves are results with no acceleration (i.e., test-particle). In all cases the results are calculated at $t_{\rm SNR}=1000$ yr with $B_{\rm ISM}=3\times 10^{-6}$ G.
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In the text

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{1668fig5.eps} \end{figure}$ Figure 5: Results from two models with diluted magnetic fields are shown. In all panels, the solid curves are RS values with $B_{\rm WD}=10^{11}$ G, the dashed curves are RS values with $B_{\rm WD}=3\times 10^{10}$ G, and the dot-dashed curves are FS values, which are insensitive to $B_{\rm WD}$ . For both models, $B_{\rm ISM}=3\times 10^{-6}$ G and only values where $p_{\rm max}> 2~m_{\rm p}c$ are plotted.
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In the text

$\begin{figure} \par\includegraphics[width=8.6cm,clip]{1668fig6.eps} \end{figure}$ Figure 6: This figure shows the density and temperature profiles with diluted ejecta fields. The dotted curves are results with no shock acceleration, the solid curves are results with $B_{\rm WD}=10^{11}$ G, and the dashed curves are results with $B_{\rm WD}=3\times 10^{10}$ G.
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In the text

$\begin{figure} \par\includegraphics[width=8.4cm,clip]{1668fig7.eps}\end{figure}$ Figure 7: Integrated synchrotron emission for constant and diluted ejecta magnetic fields at $t_{\rm SNR}=1000$ yr. The upper three curves are calculated assuming a constant field $B_0=3\times 10^{-6}$ G upstream of the forward shock and constant $B_{\rm ej}$ as labeled. The solid and dashed curves are the emission from the reverse shock assuming a diluted white dwarf field of $B_{\rm WD}=10^{11}$ G and $B_{\rm WD}=3\times 10^{10}$ G, respectively. All curves are calculated for a distance of 2 kpc.
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In the text

$\begin{figure} \par\includegraphics[width=8.3cm,clip]{1668fig8.eps} \end{figure}$ Figure 8: Integrated synchrotron emission for a diluted ejecta magnetic field of $B_{\rm WD}=10^{11}$ G calculated at different ages: 30 yr (solid curves), 100 yr (dashed curves), 300 yr (dot-dashed curves) and 10³ yr (dotted curves). The upper set of curves is from the forward shock and the lower set is from the reverse shock. Note that the dotted and dot-dashed curves for the FS almost overlay each other. The shock and SNR parameters are the same as in Fig. 7.
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In the text

$\begin{figure} \par\includegraphics[width=8.3cm,clip]{1668fig9.eps} \end{figure}$ Figure 9: Reverse shock $r_{\rm tot}$ 's and $p_{\rm max}$ 's for material containing only protons or fully ionized oxygen, as labeled. The ejecta magnetic field is taken to be constant at $B_{\rm ej}=3\times 10^{-8}$ G in the solid and dashed curves, while a diluted field with $B_{\rm WD}=10^{11}$ G is used for the dot-dashed and dotted curves. Only results where $p_{\rm max}> 2~A m_{\rm p}c$ are shown.
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In the text

$\begin{figure} \par\includegraphics[width=8.6cm,clip]{1668fig6.eps} \end{figure}$	Figure 6: This figure shows the density and temperature profiles with diluted ejecta fields. The dotted curves are results with no shock acceleration, the solid curves are results with $B_{\rm WD}=10^{11}$ G, and the dashed curves are results with $B_{\rm WD}=3\times 10^{10}$ G.
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