### Table of Contents

# Changho Kim

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

## Education

- September 2010 – May 2015 (expected): 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”, J. Stat. Phys. 158, 1100. (2015) 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 Manuscript

**C. Kim**, O. Borodin, and G. Karniadakis, “Uncertainty quantification for molecular dynamics simulation: Time-dependent diffusion coefficient in simple fluids“, submitted to J. Comput. Phys.

## Book and Book Chapter (submitted or in preparation)

**C. Kim**and G. Karniadakis, “Brownian motion: Microscopic point of view”, in preparation for the Springer Briefs series Applied Sciences and Technology.- X. Li, Z. Li, X. Bian, M. Deng,
**C. Kim**, Y.-H. Tang, A. Yazdani, and G. Karniadakis, “Dissipative particle dynamics: An overview”, submitted to Encyclopedia of Nanotechnology.