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We studied Faraday rotation measure (RM) in turbulent media with the rms Machnumber of unity, using isothermal, magnetohydrodynamic turbulence simulations.Four cases with different values of initial plasma beta were considered. Ourmain findings are as follows. (1) There is no strong correlation between thefluctuations of magnetic field strength and gas density. So the magnetic fieldstrength estimated with RM/DM (DM is the dispersion measure) correctlyrepresents the true mean strength of the magnetic field along the line ofsight. (2) The frequency distribution of RMs is well fitted to the Gaussian. Inaddition, there is a good relation between the width of the distribution ofRM/$\bar{\rm RM}$ ($\bar{\rm RM}$ is the average value of RMs) and the strengthof the regular field along the line of sight; the width is narrower, if thefield strength is stronger. We discussed the implications of our findings inthe warm ionized medium where the Mach number of turbulent motions is aroundunity.

Estimation of Magnetic Field Strength in the Turbulent Warm Ionized Medium