Table A.1: Test-particle: Magnetic field contrast factor, $\sigma _{B}$ , for a velocity ratio v_j/v_s=10, radius ratio and self-similar thermal gas pressure ratio (see Chevalier 1982) and shock velocity, for different values of the indexes n (s=0and q=0). Nonlinear DSA: same as Test-particle but with lower and upper limits on the magnetic field contrast factor, $\sigma _{B}$ , with $\eta _{{\rm inj}} = 10^{-3}$ (see Sect. A.2 for more explanations).
n R_s/R $P_{{\rm g},s}/P_{{\rm g}}$ $\sigma _{B}$ v_s(km s^-1)

7 1.181 0.964 0.95 4840

Test-particle 9 1.140 0.885 5.0 4850

12 1.121 0.836 54 4940

n R_s/R P_s/P $P_{{\rm c},s}/P$ $\min(\sigma_{B})$ $\max(\sigma_{B})$ v_s (km s^-1)

7 1.080 1.135 0.806 0.50 0.66 4370

Nonlinear DSA 9 1.060 1.045 0.754 2.6 3.4 4470

12 1.051 0.988 0.714 28 36 4610

**Table A.1:** Test-particle: Magnetic field contrast factor, $\sigma _{B}$ , for a velocity ratio v_j/v_s=10, radius ratio and self-similar thermal gas pressure ratio (see Chevalier 1982) and shock velocity, for different values of the indexes n (s=0and q=0). Nonlinear DSA: same as Test-particle but with lower and upper limits on the magnetic field contrast factor, $\sigma _{B}$ , with $\eta _{{\rm inj}} = 10^{-3}$ (see Sect. A.2 for more explanations).
	n	R_s/R	$P_{{\rm g},s}/P_{{\rm g}}$	$\sigma _{B}$	v_s(km s^-1)
	7	1.181	0.964	0.95	4840
Test-particle	9	1.140	0.885	5.0	4850
	12	1.121	0.836	54	4940
	n	R_s/R	P_s/P	$P_{{\rm c},s}/P$	$\min(\sigma_{B})$	$\max(\sigma_{B})$	v_s (km s^-1)
	7	1.080	1.135	0.806	0.50	0.66	4370
Nonlinear DSA	9	1.060	1.045	0.754	2.6	3.4	4470
	12	1.051	0.988	0.714	28	36	4610

Source LaTeX | All tables | In the text

	1 Introduction
	2 Hydrodynamics and particle acceleration
	3 Results
	4 Discussion and conclusion
	References
	Online Material
	Appendix A: Magnetic field evolution