Wind Inhomogeneities in Wolf-Rayet Stars. II. Investigation of Emission-Line Profile Variations

TLDR: In this article, a phenomenological model was introduced to simulate line-profile variations (LPVs) in emission lines from a clumped wind, and the authors investigated the effects on the LPVs of local velocity gradients, optical depths, various numbers of discrete wind elements, and a statistical distribution in the line flux from individual elements.

Abstract: We present high-resolution spectroscopic monitoring of the line-profile variations (LPVs) in the He II λ5411 emission line of four Wolf-Rayet (WR) stars of the WN sequence (HD 96548, HD 191765, HD 192163, and HD 193077) and in the C III λ5696 emission line of five WR stars of the WC sequence (HD 164270, HD 165763, HD 192103, HD 192641, and HD 193793). The LPVs are shown to present systematic patterns: they all consist of a number of relatively narrow emission subpeaks that tend to move from the line centers toward the line edges. We introduce a phenomenological model that depicts WR winds as being made up of a large number of randomly distributed, radially propagating, discrete wind emission elements (DWEEs). This working model is used to simulate LPV patterns in emission lines from a clumped wind. General properties of the LPV patterns are analyzed with the help of novel numerical tools (based on multiscale, wavelet analysis), and simulations are compared to the data. We investigate the effects on the LPVs of local velocity gradients, optical depths, various numbers of discrete wind elements, and a statistical distribution in the line flux from individual elements. We also investigate how the LPV patterns are affected by the velocity structure of the wind and by the extension of the line-emission region (LER). Eight of the stars in our sample are shown to possess strong similarities in their LPV patterns, which can all be explained in terms of our simple model of local wind inhomogeneities. We find, however, that a very large number (104) of DWEEs must be used to account for the LPV. Large velocity dispersions must occur within DWEEs, which give rise to the ξ~100 km s-1 line-of-sight velocity dispersions. We find evidence for anisotropy in the velocity dispersion within DWEEs with σvr~4σvθ, where σvr and σvθ are the velocity dispersions in the radial and azimuthal directions, respectively. We find marginal evidence for optical depth effects within inhomogeneous features, with the escape probability being slightly smaller in the radial direction. The kinematics of the variable features reveals lower than expected radial accelerations, with 20 r−1)β, with v∞ the terminal wind velocity. The mean duration of subpeak events, interpreted as the crossing time of DWEEs through the LER, is found to be consistent with a relatively thin LER. As a consequence, the large emission-line broadening cannot be accounted for by the systematic radial velocity gradient from the accelerating wind. Rather, emission-line broadening must be dominated by the large "turbulent" velocity dispersion σvr suggested by the LPV patterns. The remaining WR star in our sample (HD 191765) is shown to present significant differences from the others in its LPV pattern. In particular, the associated mean velocity dispersion is found to be especially large (ξ~350 km s-1, compared to ξ~100 km s-1 in other stars). Accordingly, the LPV patterns in HD 191765 cannot be satisfactorily accounted for with our model, requiring a different origin.