New Scientific Discoveries 2012-2013
funded by ARO
My work on exact solutions in the statistical physics of quasi-2D flows leading to results that are applicable to Planetary Atmospheres in extra-solar systems such as "Super-rotators are more common than Sub-rotators in Nearly Barotropic Planetary Atmospheres", and to the enigmatic super-rotation of Venus and Titan, and based on the way higher-dimensional ellipses and spheres 'KISS' each other as manifolds resp. of total Kinetic energy and relative enstrophy (L2 norm of vorticity field) have been published online in a December issue of Phys Rev E:
 C. C. Lim, "Phase Transition to Super-rotating Atmospheres in a Simple Planetary Model for a Non-Rotating Massive Planet - Exact Solution", Physical Review E 86 (6)(2012) click here to download from APS.For details on the rotating case, see submitted Phys Rev article, 2013.
ON Network Science and Applied Probability, we offer:
 W. Zhang and C.C. Lim, "The Concentration and Stability of the Community Detecting Functions on Random Networks", Internet Math, Accepted December 2012, appeared online March 2013. click here to download
 W. Zhang, C.C. Lim and B. Szymanski, "Analytic Treatment of Tipping Points for Social Consensus in Large Random Networks", Phys. Rev. E, Appeared December 2012, Phys. Rev. E. December 2012
 C.C. Lim, "Social forums with strong neutrals- exact solutions for expected times to multi-consensus", Phys. Rev. E, submitted May 31 2013, for diffusion-driven cases
 C.C. Lim and W. Zhang, "Monotonicity of Social Opinion Dynamics on Large Networks", submitted July 31 2013, for the role of monotonicity in math. sociology where pure diffusion is secondary to drift.
On Swarm dynamics and computational science, we offer:
 J. Chen, W. Zhang, and C.C. Lim "Self-organization in 1D Swarms", submitted Sept 11 2013, for the role of standard deviations in initial position and velocity in the spontaneous splitting of a single group of localized velocity-adaptive agents into several subgroups, with applications to autonomous driving.