Liam G Stanton
Mathematical modeling and numerical simulations in physics and chemistry.
The principle focus is in the area of charged particle transport phenomena. Topics and methods include: orbital-free density functional theory, molecular dynamics, kinetic theory, fluid mechanics, phase-field modeling and nonlinear diffusion.
Ph.D. - Applied Mathematics, Northwestern University, 2009
M.S. - Applied Mathematics, Northwestern University, 2005
B.S. - Physics and Mathematics, Boston College, 2004
L.G. Stanton and M.S. Murillo, Unified Description of Linear Screening in Dense Plasmas. Phys. Rev. E 91, 033104 (2015).
T. Ott, M. Bonitz, L.G. Stanton and M.S. Murillo, Coupling Strength in Coulomb and Yukawa One-Component Plasmas. Phys. of Plasmas 22, 019901 (2014).
F.R. Graziani, V.S. Batista, L.X. Benedict , J.I. Castor, H. Chen, S.N. Chen, C.A. Fichtl, J.N. Glosli, P.E. Grabowski, A.T. Graf, S.P. Hau-Riege, A.U. Hazi, S.A. Khairallah, L. Krauss, A.B. Langdon, R.A. London, A. Markmann, M.S. Murillo, D.F. Richards, H.A. Scott, R. Shepherd, L.G. Stanton, M.P. Surh, J.C. Weisheit, H.D. Whitley, Large-scale molecular dynamics of dense plasmas: the Cimarron project. High Energy Density Physics 8, 105 (2012).
L.G. Stanton and A.A. Golovin. Effect of Ion Migration on the Self-Assembly of Porous Nanostructures in Anodic
Oxides. Phys. Rev. B 79, 035414 (2009)
L.G. Stanton and A.A. Golovin. Effect of electrostriction on the self-organization of porous nanostructures in anodized aluminum oxide. Math. Mod. Nat. Phen. 3, 5 (2008)
V.A. Volpert, A.A. Nepomnyashchy, L.G. Stanton and A. A. Golovin. Bounded Solutions of Nonlocal Complex
Ginzburg-Landau Equations for a Subcritical Bifurcation. SIAM J. Appl. Dyn. Syst. 7, 265 (2008)
L.G. Stanton and A.A. Golovin. Global feedback control for pattern-forming systems. Phys. Rev. E 76, 3 (2007)