My primary research interests lay along the intersections of fundamental physics and applied mathematics. Those include exotic transport behavior in disordered media, nonlocal interactions in correlated systems, self-organization and stability of dusty plasmas in gravity and microgravity, thermodynamics and statistical mechanics of driven-dissipative systems, lunar dust mitigation, and dust particle techniques for plasma diagnostics. I have authored a book on the application of a novel spectral approach to transport problems in two-dimensional physical systems.

Specific projects I am currently working on include:

1. The onset of turbulence in dusty plasma monolayers
2. Particle transport in stochastic magnetic fields in tokamaks
3. Material ablation in high heating environments
4. Dust particles as tracers of plasma/gas dynamics

E G Kostadinova, R Banka*, J L Padgett, C D Liaw, L S Matthews, & T W Hyde, (2021). (2021). Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer. Physics of Plasmas, 28(7), 073705.

DM Orlov, M O Hanson*, J Escalera*, H Taheri*, C N Villareal*, D M Zubovic*, I Bykov, E G Kostadinova, D L Rudakov, M Ghazinejad. (2021). Design and testing of DiMES Carbon Ablation Rods in the DIII-D tokamak, IMECE2021-73326, ASME IMECE 2021 Conference Proceedings

T F Jones, E G Kostadinova, J L Padgett, Q Sheng, (2021). A series representation of the discrete fractional Laplace operator of arbitrary order. Journal of Mathematical Analysis and Applications, 504(1), 125323.

E G Kostadinova, J L Padgett, C D Liaw, L S Matthews, & T W Hyde, (2020). Numerical study of anomalous diffusion of light in semi-crystalline polymer structures. Phys. Rev. Research, 2(4), 043375.

J L Padgett, E G Kostadinova, C D Liaw, K Busse*, L S Matthews, & T W Hyde (2020). Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method. J. Phys. A: Mathematical and Theoretical, 53(13), 135205.

L S Matthews, E G Kostadinova, D Sanford*, TW Hyde, S Ashrafi, E Guay* (2020), Dust charging in dynamic ion wakes, Phys. Plasmas, 27, 023703 (Featured & Scilight)

E G Kostadinova, C D Liaw, A S Hering, A Cameron*, F Guyton*, L S Matthews, & T W Hyde (2019). Spectral approach to transport in a two-dimensional honeycomb lattice with substitutional disorder. Phys. Rev. B, 99, 024115

P Hartmann, J C Reyes, E G Kostadinova, L S Matthews, T W Hyde, R U Masheyeva, K N Dzhumagulova, T S Ramazanov, T Ott, H Kählert, M Bonitz, I Korolov, & Z Donkó (2019). Self-diffusion in two-dimensional quasi-magnetized rotating dusty plasmas. Phys. Rev. E, 99, 013203

E G Kostadinova, F Guyton*, A Cameron*, K Busse*, C D Liaw, L S Matthews, & T W Hyde (2018) Transport properties of disordered two‐dimensional complex plasma crystal, Contrib. Plasma Phys., 58 (2-3), 209–216. 

(book) E G Kostadinova (2018). Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices: Physical Interpretation and Applications. Springer

E G Kostadinova, K Busse*, N Ellis*, J Padgett, C D Liaw, L S Matthews, & T W Hyde (2017). Delocalization in infinite disordered two-dimensional lattices of different geometry. Phys. Rev. B, 96(23), 235408.

E G Kostadinova, C D Liaw, L S Matthews, & T W Hyde (2016). Physical interpretation of the spectral approach to delocalization in infinite disordered systems. Mater. Res. Express, 3(12), 125904.