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Changho Kim

  • Ph.D. candidate (Advisor: Prof. George Karniadakis)
  • Division of Applied Mathematics, Brown University

Education

  • September 2010 – present: PhD candidate, Applied Mathematics, Brown University
  • September 2010 – May 2011: M.Sc. in Applied Mathematics, Brown University
  • September 2003 – August 2007: PhD in Chemistry, Korea Advanced Institute of Science and Technology (KAIST) (Advisor: Prof. Eok Kyun Lee)
  • September 2001 – February 2003: M.Sc. in Chemistry, KAIST (Advisor: Prof. 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

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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

  1. C. Kim and G. Karniadakis, “Brownian motion in a Rayleigh gas confined in a channel (A generalized Langevin equation approach)”
  2. C. Kim and G. Karniadakis, “Microscopic origin of drag force: A new mathematical and physical interpretation”

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