This is an old revision of the document!
Table of Contents
Changho Kim
- Ph.D. candidate (Advisor: George Karniadakis)
- Division of Applied Mathematics, Brown University
Education
- September 2010 – present: Ph.D. candidate, Applied Mathematics, Brown University
- September 2010 – May 2011: M.Sc. in Applied Mathematics, Brown University
- September 2003 – August 2007: Ph.D. in Chemistry, Korea Advanced Institute of Science and Technology (KAIST) (Advisor: Eok Kyun Lee)
- September 2001 – February 2003: M.Sc. in Chemistry, KAIST (Advisor: Eok Kyun Lee)
- March 1997 – August 2001: B.Sc. in Chemistry and in Mathematics, KAIST (double major, summa cum laude)
Research Interests
- Brownian motion
- Molecular dynamics
- Fluid dynamics
- Mori-Zwanzig formalism
- Generalized Langevin equation
- Mesoscopic methods
- Stochastic differential equation
- Fokker-Planck equation
- Monte Carlo simulation
- Anomalous diffusion
- Fractional dynamics
- Non-Gaussian noise
- Asymptotic analysis
- Uncertainty quantification
- Scientific computation
Publications
- C. Kim and G. Karniadakis, “Brownian motion of a Rayleigh particle confined in a channel: A generalized Langevin equation approach”, in press and published on line in J. Stat. Phys. DOI: 10.1007/s10955-014-1160-2
- C. Kim and G. Karniadakis, “Time correlation functions of Brownian motion and evaluation of friction coefficient in the near-Brownian-limit regime”, Multiscale Moldel. Sim. 12, 225 (2014). DOI: 10.1137/130929916
- C. Kim and G. Karniadakis, “Microscopic theory of Brownian motion revisited: The Rayleigh model”, Phys. Rev. E 87, 032129 (2013). DOI: 10.1103/PhysRevE.87.032129
- H. Kim, W. A. Goddard III, K. H. Han, C. Kim, E. K. Lee, P. Talkner and P. Hänggi, “Thermodynamics of d-dimensional hard sphere fluids confined to micropores”, J. Chem. Phys. 134, 114502 (2011). DOI: 10.1063/1.3564917
- H. K. Shin, C. Kim, P. Talkner, and E. K. Lee, “Brownian motion from molecular dynamics”, Chem. Phys. 375, 316 (2010). DOI: 10.1016/j.chemphys.2010.05.019
- C. Kim, P. Talkner, E. K. Lee, and P. Hänggi, “Rate description of Fokker–Planck processes with time-periodic parameters”, Chem. Phys. 370, 277 (2010). DOI: 10.1016/j.chemphys.2009.10.027
- H. Kim, C. Kim, E. K. Lee, P. Talkner, and P. Hänggi, “Wall-mediated self-diffusion in slit and cylindrical pores”, Phys. Rev. E 77, 031202 (2008). DOI: 10.1103/PhysRevE.77.031202
- C. Kim, E. K. Lee, P. Hänggi, and P. Talkner, “Numerical method for solving stochastic differential equations with Poissonian white shot noise”, Phys. Rev. E 76, 011109 (2007). DOI: 10.1103/PhysRevE.76.011109
- C. Kim, E. K. Lee, and P. Talkner, “Numerical method for solving stochastic differential equations with dichotomous noise”, Phys. Rev. E 73, 026101 (2006). DOI: 10.1103/PhysRevE.73.026101
- H. J. Lee, C. Kim, J. G. Kim, and E. K. Lee, “A general scheme for studying the stochastic dynamics of a parametric oscillator driven by coloured noise”, J. Phys. A: Math. Gen. 37, 647 (2004). DOI: 10.1088/0305-4470/37/3/009
- J.-W. Lee, C. Kim, E. K. Lee, J. Kim, and S. Lee, “Qubit Geometry and Conformal Mapping”, Quantum Information Processing 1, 129 (2002). DOI: 10.1023/A:1019645000745
Submitted Manuscripts
- C. Kim and G. Karniadakis, “Brownian motion in a Rayleigh gas confined in a channel (A generalized Langevin equation approach)”
- C. Kim and G. Karniadakis, “Microscopic origin of drag force: A new mathematical and physical interpretation”