Erratum: Global 3D two-fluid simulations of the tokamak edge region: Turbulence, transport, profile evolution, and spontaneous e × B rotation (Physics of Plasmas (2017) 24 (055903) DOI: 10.1063/1.4978885)

In Sec. VC of Ref. 1, the normalized ∇_∥ operator on a time and toroidally averaged quantity f should be ∇_∥f ≅ 2/ϵR bθ ∂f/∂θ, (1) where θ is the poloidal angle. The dimensionless factor 2/ϵR in Eq. (1) was mis-represented by the minor radius a in the original derivation. The corrected expressions of Eqs. (22), (23), and (25) in Ref. 1 are ν_∥i ≅ ϵ_R^1/2 p₁ sin θ/16ϵGbθT_i^5/2 + ν_∥i (Ψ), (2) ∇_∥ ν_∥i ≅ 2b²_θp₁ sin θ/ϵ_R^3/2 nvE×B, (3) and ν_∥i ≅ - b_θp₁ cos θ/ϵ_R^1/2 nvE×B + ν_∥i (Ψ), (4) respectively. Because this error only slightly altered the coefficients not the polarities, the overall results and conclusions in Ref. 1 still hold. Also, the correct solution of the quadratic equation [Eq. (24)] is νE×B = -νdi [1/2 + (1 + 4b_θ² p₁/ϵ_R² nv²di)^1/2]. (5) If the total plasma pressure is not strongly inboard-outboard asymmetric so that 4b_θ² p₁/(ϵ_R² nv²di) < 1, then to leading order ν E×B ≅ -νdi - b_θ² p₁/ϵ_R² nvdi. (6). This work was performed under the auspices of the U.S. DoE by LLNL under Contract No. DE-AC52-07NA27344 and also supported by DOE-SC-0010508.