Angular momentum transport and plasma rotation in response to injected neutral beam torque is a subject both of intrinsic interest and practical consequence (stabilization of MHD instabilities, effect on the H-mode edge pedestal, etc.) in tokamak physics. Faculty and students in the FRC and collaborators have developed the gyroviscous neoclassical theory for angular momentum transfer and applied it to predict rotation and momentum confinement measured in a number of experiments.

### 2016

Stacey, W. M., and T. M. Wilks. “Inclusion of ion orbit loss and intrinsic rotation in plasma fluid rotation theory.” Physics of Plasmas (1994-present) 23.1 (2016): 012508.

### 2015

W.M. Stacey and C. Bae. “Extension of the flow-rate-of-strain tensor formulation of plasma rotation theory to non-axisymmetric tokamaks.” Phys. of Plasmas 22, 062503 (2015).

### 2014

W.M. Stacey. “Viscous damping of toroidal angular momentum in tokamaks.” Phys. of Plasmas 21, 092517 (2014).

W. M. Stacey and B. A. Grierson. “Interpretation of rotation and momentum transport in the DIII-D edge plasma and comparison with neoclassical theory”. Nucl. Fusion 54 073021 (2014).

C. Bae, W.M. Stacey, S.G. Lee, and T. Terzolo. “Predictions of the poloidal asymmetries and transport frequencies in KSTAR.” Phys. Plasmas 21, 012504 (2014).

### 2013

C. Bae, W. M. Stacey, and W. M. Solomon. “Extension of Neoclassical Rotation Theory for Tokamaks to Realistically Account for the Geometry of Magnetic Flux Surfaces”. Nuclear Fusion 53 043011 (2013).

C. Bae, W. M. Stacey, and T. D. Morley. “GTROTA: A Code for the Solution of the Coupled Nonlinear Extended Neoclassical Rotation Equations in Tokamak Plasmas Using Successive Over-Relaxation and Simulated Annealing”.Computer Physics Comm. 184 (2013) 2571-2587.

### 2012

W. M. Stacey, J. A. Boedo, T. E. Evans, B. A. Grierson, and R. J. Groebner. “Intrinsic Rotation Produced by Ion Orbit Loss and X-Loss”. Phys. of Plasmas 19, 112503 (2012).

### 2009

W. M. Stacey, “Rotation velocities in the plasma edge driven viscously by scrape-off layer flows”, Phys. Plasmas 16. 062505 (2009).

W. M. Stacey and Cheonho Bae, “Representation of the plasma fluid equations in “Miller Equilibrium” analytical flux surface geometry”, Phys. Plasmas 16, 082501 (2009).

### 2008

W. M. Stacey, “Extension and comparison of neoclassical models for poloidal rotation in tokamaks”, Phys. Plasmas 15, 012501 (2008).

W. M. Stacey and R.J. Groebner, “Interpretation of edge pedestal rotation measurements in DIII-D”, Phys. Plasmas 15, 012503 (2008).

W. M. Stacey, “Ion Particle Transport in the Tokamak Edge Plasmas”, Contrib. Plasma Phys. 48, Number 1-3, 94-98 (2008).

W. M. Stacey, “Applications of the Miller Equilibrium to Extend Tokamak Computational Models”, Phys. Plasmas 15, 122505 (2008).

### 2006

W. M. Stacey, R. W. Johnson and J. Mandrekas, “A neoclassical calculation of rotation profiles in DIII-D”, Phys. Plasmas13, 062508 (2006).

W. M. Stacey, “Rotation velocities and the radial electric field in the plasma edge”, Contrib. Plasma Phys. 46, 597 (2006).

### 2004

W. M. Stacey, “A Neoclassical Model for Toroidal Rotation and the Radial Electric Field in the Edge Pedestal”, Phys. Plasmas 11, 3096 (2004).

### 2002

W. M. Stacey and J. Mandrekas, “Comparison of neoclassical rotation theory with experiment under a variety of conditions in DIII-D”, Phys. Plasmas 9, 1622 (2002).

W. M. Stacey, “Neoclassical calculation of poloidal rotation and poloidal density asymmetries in tokamaks”, Phys. Plasmas9, 3874 (2002).

### 2001

W. M. Stacey, “Neoclassical theory for rotation and impurity transport in tokamaks with neutral beam injection”, Phys. Plasmas 8, 158 (2001).

W. M. Stacey and M. Murakami, “Momentum confinement in DIII-D shots with impurities”, Phys. Plasmas 8, 4450 (2001).

### 1993

W. M. Stacey and D. R. Jackson, “Poloidal rotation, density asymmetries and momentum confinement in tokamak experiments”, Phys. Fluids B 5, 1828 (1993).

### 1992

W. M. Stacey, “Poloidal rotation and density asymmetries in a tokamak plasma with strong toroidal rotation”, Phys. Fluids B 4, 3302 (1992).

### 1991

W. M. Stacey, “Interpretation of Measurements of the Global Momentum and Energy Confinement Time in Strongly Rotating Plasmas”, Nucl. Fusion 31, 31 (1991).

### 1985

W. M. Stacey, A. W. Bailey, D. J. Sigmar and K.C. Shaing, “Rotation and Impurity Transport in a Tokamak Plasma with Directed Neutral Beam Injection”, Nucl. Fusion 25, 463 (1985).

W. M. Stacey and D. J. Sigmar, “Viscous effects in a collisional tokamak plasma with strong rotation”, Phys. Fluids 28, 2800 (1985).