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Group velocity of electromagnetic waves in plasmas derived by standardrelativistic resistive MHD (resistive RMHD) equations is superluminal. If weassume that the group velocity represents the propagation velocity of a signal,we have to worry about the causality problem. That is, some acausal phenomenamay be induced, such that information transportation to the absolute past andspontaneous decrease in the entropy. Here, we tried to find the acausalphenomena using standard resistive RMHD numerical simulations in the suggestedsituation of the acausal phenomena. The calculation results showed that even insuch situations no acausal effect happens. The numerical result with respect tothe velocity limit of the information transportation is consistent with alinear theory of wave train propagation. Our results assure that we can usethese equations without problems of acausal phenomena.

Group velocity and causality in standard relativistic resistive magnetohydrodynamics