Articles by Dionisios Margetis

(PDF files can also be found under my Research Interests link)

A. Preprints - Submitted Articles

37. Quah, J., and D. Margetis (2009), ``Electromigration in macroscopic relaxation of stepped surfaces'', 34pp, submitted to (SIAM) Multiscale Modeling & Simulation.

36. Grillakis, M. G., M. Machedon, and D. Margetis (2009), ``Second-order corrections to mean field evolution of weakly interacting Bosons. I.'', 30pp, submitted to Communications in Mathematical Physics.

B. Publications & Articles Accepted for Publication

35. Bonito, A., R. H. Nochetto, J. Quah, and D. Margetis (2009), ``Self-organization of decaying surface corrugations: A numerical study'', Physical Review E, Vol. 79, 050601(R), 4pp.

34. Margetis, D. (2009), ``Homogenization of reconstructed crystal surfaces: Fick's law of diffusion'', Physical Review E, Vol. 79, 052601, 4pp.

33. Margetis, D., and A. E. Tzavaras (2009), ``Kinetic hierarchies and macroscopic limits for crystalline steps in 1+1 dimensions'', (SIAM) Multiscale Modeling & Simulation, Vol. 7, pp. 1428-1454.

32. Fok, P.-W., R. R. Rosales, and D. Margetis (2008), ``Facet evolution on supported nanostructures: the effect of finite height'', Physical Review B, Vol. 78, 235401, 17pp.

31. Quah, J., J. Young, and D. Margetis (2008), ``Macroscopic view of crystal-step transparency'', Physical Review E, Vol. 78, 042602, 4pp.

30. Margetis, D. (2008), ``Solvable model for pair excitation in trapped Boson gas at zero temperature'', Journal of Physics A: Mathematical and Theoretical, Vol. 41, art. 385002, 18pp.; Corrigendum, J. Phys. A: Math. Theor., Vol. 41, 459801 (1p).

29. Grillakis, M. G., and D. Margetis (2008), ``A priori estimates for many-body Hamiltonian evolution of interacting Boson system'', Journal of Hyperbolic Differential Equations, Vol. 5, pp. 857-883.

28. Quah, J., and D. Margetis (2008), ``Anisotropic diffusion in continuum relaxation of stepped crystal surfaces'', Journal of Physics A: Mathematical & Theoretical, Vol. 41, art. 235004, 18pp.

27. Margetis, D., and R. E. Caflisch (2008), ``Anisotropic step stiffness from a kinetic model of epitaxial growth'', (SIAM Journal on) Multiscale Modeling & Simulation, Vol. 7, pp. 242-273.

26. Margetis, D., and M. G. Grillakis (2008), ``Impurity and quaternions in nonrelativistic scattering from a quantum memory'', Journal of Physics A: Mathematical and Theoretical, Vol. 41, art. 065307, 15pp.

25. Margetis, D. (2007), ``Unified continuum approach to crystal surface morphological relaxation'', Physical Review B, Vol. 76, art. 193403, 4pp.

24. Fok, P.-W., R. R. Rosales, and D. Margetis (2007), ``Unification of step bunching phenomena on vicinal surfaces'', Physical Review B, Vol. 76, art. 033408, 4pp. Also selected to appear in the Virtual Journal of Nanoscale Science & Technology, July 23, 2007 ( http://www.vjnano.org/nano/ ).

23. Margetis, D., P.-W. Fok, M. J. Aziz, and H. A. Stone (2006), ``Continuum theory of nanostructure decay via a microscale condition'', Physical Review Letters, Vol. 97, art. 096102, 4pp. Also selected to appear in the Virtual Journal of Nanoscale Science & Technology, September 11, 2006 ( http://www.vjnano.org/nano/ ).

22. Margetis, D., and J. M. Myers (2006), ``Operation-induced decoherence by nonrelativistic scattering from a quantum memory'', Journal of Physics A: Mathematical and General, Vol. 39, pp. 11567-11581.

21. Margetis, D., and R. V. Kohn (2006), ``Continuum relaxation of interacting steps on crystal surfaces in 2+1 dimensions'', (SIAM Journal on ) Multiscale Modeling & Simulation, Vol. 5, pp. 729-758.

20. Margetis, D., and N. Savva (2006), ``Low-frequency currents induced in adjacent spherical cells'', Journal of Mathematical Physics, Vol. 47 art. 042902, 18pp.
Also selected to appear in the Virtual Journal of Biological Physics Research, May 1, 2006 ( http://www.vjbio.org/bio/ ).

19. Margetis, D., and J. Choi (2006), ``Generalized iteration method for first-kind integral equations,'' Studies in Applied Mathematics, Vol. 117, pp. 1-25.

18. Choi, J., D. Margetis, T. M. Squires, and M. Z. Bazant (2005), ``Steady advection-diffusion around finite absorbers in two-dimensional potential flows'', Journal of Fluid Mechanics, Vol. 536, pp. 155-184.

17. Stone, H. A., M. J. Aziz, and D. Margetis (2005), ``Grooving of a grain boundary by evaporation-condensation below the roughening transition'', Journal of Applied Physics Vol. 97, art. 113535, 6pp.

16. Stone, H. A., and D. Margetis (2005), ``Continuum descriptions of crystal surface evolution'', review article in the book series Handbook of Materials Modeling, Vol. I: Methods and Models, pp. 1389-1401, S. Yip (Editor), Springer Verlag, Netherlands.

15. Margetis, D., M. J. Aziz, and H. A. Stone (2005), ``Continuum approach to self-similarity and scaling in morphological relaxation of a crystal with a facet'', Physical Review B, Vol. 71, art. 165432, 22pp.

14. Margetis, D., M. J. Aziz, and H. A. Stone (2004), ``Continuum description of profile scaling in nanostructure decay'', Physical Review B, Rapid Communications, Vol. 69, art. 041404(R), 4pp.

13. Margetis, D., E. Kaxiras, M. Elstner, Th. Frauenheim, and M. R. Manaa (2002), ``Electronic structure of solid nitromethane: Effects of high pressure and molecular vacancies'', Journal of Chemical Physics, Vol. 117 (2), pp. 788--799.

12. King, R. W. P., and D. Margetis (2002), ``The low-frequency electric fields induced in a spherical cell including its nucleus,'' regular article in the book series Progress in Electromagnetic Research (PIER), Vol. 36, pp. 61--79, J. A. Kong (Editor), EMW Publishing, Cambridge, MA.

11. Margetis, D. (2002), ``Radiation of horizontal electric dipole on large dielectric sphere,'' J. Math. Phys. Vol. 43 (6), pp. 3162--3201.

10. Margetis, D., and T. T. Wu (2001), ``Exactly calculable field components of electric dipoles in planar boundary,'' J. Math. Phys. Vol. 42 (2), pp. 713--745.

9. Margetis, D., and G. Fikioris (2000), ``Two-dimensional, highly directive currents on large circular loops,'' J. Math. Phys. Vol. 41 (9), pp. 6130--6172.

8. Margetis, D. (2000), ``Asymptotic formula for the condensate wave function of a trapped Bose gas'', Phys. Rev. A Vol. 61, art. 055601, 2pp.

7. Margetis, D. (2000), ``Pulse propagation in sea water: The modulated pulse,'' regular article in the book series Progress in Electromagnetic Research (PIER), Vol. 26, pp. 89--110, J. A. Kong, Editor, EMW Publishing, Cambridge, MA.

6. Margetis, D. (1999), ``Bose-Einstein condensation in an external potential at zero temperature: Solitary-wave theory'', J. Math. Phys. Vol. 40 (11), pp. 5522--5543.

5. Margetis, D. (1998), ``Electromagnetic fields in air of traveling-wave currents above the earth'', J. Math. Phys. Vol. 39 (11), pp. 5870--5893.

4. Margetis, D., G. Fikioris, J. M. Myers, and T. T. Wu (1998), ``Highly directive current distributions: General theory'', Phys. Rev. E Vol. 58 (2), pp. 2531--2547.

3. Kanellopoulos, J. D., and D. Margetis (1997), ``A predictive analysis of differential attenuation on adjacent satellite paths including rain height effects'', European Trans. Telecommunications Vol. 8 (2), pp. 141--148.

2. Margetis, D., and R. W. P. King (1995), ``Comments on `Propagation of EM pulses excited by an electric dipole in a conducting medium' '', IEEE Trans. Antennas Propagat. Vol. 43 (1), pp. 119--120.

1. Margetis, D. (1995), ``Pulse propagation in sea water,'' J. Appl. Phys. Vol. 77 (7), pp. 2884--2888.

C. Articles in Preparation

1. Margetis, D., ``Composite stepped surfaces''.

2. Margetis, D., and J. D. Weeks, ``Kinetic description of elastic effects on crystal surfaces''.

3. Margetis, D., and R. V. Kohn, ``Continuum theory of material deposition on stepped surfaces in 2+1 dimensions''.

4. Margetis, D., M. J. Aziz, and H. A. Stone, ``Continuum approaches to crystal surface morphological relaxation below the roughening temperature''. Invited review article for Surface Science Reports.

5. Margetis, D., ``Bose-Einstein condensation beyond mean field: Bound states with periodic microstructure''.

6. P.-W. Fok and D. Margetis, ``Singular interfacial energy and faceting of crystal shapes''.