Lecturer of Physics
Prof. Robert G. Brown is interested in using algebraic and statistical methods to study a wide range of equilibrium and nonequilibrium problems. With collaborator Dr. Mikael Ciftan, Dr. Brown has developed new Monte Carlo Langevin equation-based techniques that allow dynamic/nonequilibrium and static/equilibrium phenomena to be studied on the same footing. His recent work includes algebraic and computational studies in dynamic and static critical phenomena in quantum optics and magnetism. In earlier work, Dr. Brown also developed a generalized (non-muffin-tin) stationary multiple scattering theory including applications to band theory and quantum chemistry. This work formally eliminates the muffin-tin approximation from KKR-type band theory and its equivalents in quantum chemistry, without the need for so-called "near field" corrections.
Brown, R. G., and M. Ciftan. “Critical behavior of the helicity modulus for the classical Heisenberg model.” Physical Review B Condensed Matter and Materials Physics, vol. 74, no. 22, Dec. 2006. Scopus, doi:10.1103/PhysRevB.74.224413. Full Text
Brown, R. G. “Finite size scaling of the helicity modulus of the classical Heisenberg ferromagnet.” Physical Review Letters, 2005.
Brown, R. G., and M. Ciftan. “Dynamic critical exponents and sample independence times for the classical Heisenberg model..” Physical Review. B, Condensed Matter, vol. 54, no. 22, Dec. 1996, pp. 15860–74. Epmc, doi:10.1103/physrevb.54.15860. Full Text
Brown, R. G., and M. Ciftan. “High-precision evaluation of the static exponents of the classical Heisenberg ferromagnet..” Physical Review Letters, vol. 76, no. 8, Feb. 1996, pp. 1352–55. Epmc, doi:10.1103/physrevlett.76.1352. Full Text
Brown, R. G., and M. Ciftan. “Critical scaling of the dynamic critical exponents of the classical Heisenberg ferromagnet.” Phys. Rev., vol. B54, 1996.
Brown, R. G. “Softwares hard questions.” Scientific American, vol. 272, no. 1, Jan. 1995, pp. 8–8.
Brown, R. G., and M. Ciftan. “Statistical microdynamics of extended systems in natural function spaces.” International Journal of Quantum Chemistry, vol. 48, no. 27 S, Jan. 1993, pp. 363–75. Scopus, doi:10.1002/qua.560480837. Full Text
Brown, R. G., and M. Ciftan. “N-atom optical Bloch equations: A microscopic theory of quantum optics..” Physical Review. A, Atomic, Molecular, and Optical Physics, vol. 40, no. 6, Sept. 1989, pp. 3080–105. Epmc, doi:10.1103/physreva.40.3080. Full Text