Mathis Plapp

email: Mathis.Plapp@polytechnique.fr

NOTE: PDF files of most articles can be sent by email upon request

Journal Articles

1997

1. M. Plapp, J.-F. Gouyet: Dendritic growth in a mean-field lattice gas model, Phys. Rev. E 55, 45 (1997). Abstract
2. M. Plapp, J.-F. Gouyet: Interface dynamics in a mean-field lattice gas model: solute trapping, kinetic coefficient, and interface mobility, Phys. Rev. E 55, 5321 (1997). Abstract
3. M. Plapp, J.-F. Gouyet: Surface modes and ordered patterns during spinodal decomposition of an ABv model alloy, Phys. Rev. Lett. 78, 4970 (1997). Abstract

1998

4. A. Karma, M. Plapp: Spiral surface growth without desorption, Phys. Rev. Lett. 81, 4444 (1998). Abstract Manuscript: cond-mat/9809358

1999

5. M. Plapp, J.-F. Gouyet: Spinodal decomposition of an ABv model alloy: Patterns at unstable surfaces, Eur. Phys. J. B 9, 267 (1999). Abstract Manuscript: cond-mat/9906301
6. M. Plapp, A. Karma: Eutectic Colony Growth: A Stability Analysis, Phys. Rev. E 60, 6865 (1999). Abstract Manuscript: cond-mat/9812376

2000

7. M. Plapp, A. Karma: Multiscale random-walk algorithm for simulating interfacial pattern formation, Phys. Rev. Lett. 84, 1740 (2000). Abstract Manuscript: cond-mat/9906370
8. A. Karma, Y. H. Lee, M. Plapp: Three-dimensional dendrite tip morphology at low undercooling, Phys. Rev. E 61, 3996 (2000). Abstract Manuscript: cond-mat/9909021
9. M. Plapp, A. Karma: Multiscale Finite-Difference-Diffusion-Monte-Carlo method for simulating dendritic solidification, J. Comp. Phys. 165, 592 (2000). Abstract Manuscript: cond-mat/0002015

2001

10. T. S. Lo, A. Karma, M. Plapp: Phase-field modeling of microstructural pattern formation during directional solidification of peritectic alloys without morphological instability, Phys. Rev. E. 63, 031504 (2001). Abstract Manuscript: cond-mat/0005507

2002

11. J. Bragard, A. Karma, Y. H. Lee, M. Plapp: Linking Phase-Field and Atomistic Simulations to Model Dendritic Solidification in Highly Undercooled Melts, Interface Science 10, 121 (2002). Abstract Manuscript: cond-mat/0112163
12. S. Akamatsu, M. Plapp, G. Faivre, A. Karma: Pattern stability and trijunction motion in eutectic solidification, Phys. Rev. E 66, 030501(R) (2002). Abstract Manuscript: cond-mat/0202535
13. M. Plapp, A. Karma: Eutectic colony formation: A phase field study, Phys. Rev. E 66, 061608 (2002). Abstract Manuscript: cond-mat/0112194

2003

14. T. S. Lo, S. Dobler, M. Plapp, A. Karma, W. Kurz: Two-phase microstructure selection in peritectic solidification: from island banding to coupled growth, Acta Mater. 51, 599 (2003). Abstract
15. K. Kolwankar, M. Plapp, B. Sapoval: Percolation-dependent reaction time in the etching of disordered solids, Europhys. Lett. 62, 519 (2003). Abstract Manuscript: cond-mat/0211296
16. R. Folch, M. Plapp: Towards a quantitative phase-field modeling of two-phase solidification, Phys. Rev. E 68, 010602(R) (2003). Abstract Manuscript: cond-mat/0303449
17. M.-O. Bernard, M. Plapp, J.-F. Gouyet: A mean-field kinetic lattice gas model of electrochemical cells, Phys. Rev. E 68, 011604 (2003). Abstract Manuscript: cond-mat/0303072
18. J.-F. Gouyet, M. Plapp, W. Dieterich, P. Maass: Description of far-from-equilibrium processes by mean-field lattice gas models, Adv. Phys. 52, 523-638 (2003). Abstract

2004

19. M. Plapp, M. Dejmek: Stability of hexagonal solidification patterns, Europhysics Lett. 65, 276 (2004). Abstract Manuscript: cond-mat/0207314
20. A. Karma, M. Plapp: New insights into the morphological stability of eutectic and peritectic coupled growth, JOM 56, 4 p. 28-32 (2004). Abstract
21. S. Dobler, T. S. Lo, M. Plapp, A. Karma, and W. Kurz: Peritectic coupled growth, Acta Mat. 52, 2795 (2004). Abstract
22. S. Akamatsu, M. Plapp, G. Faivre, and A. Karma: Overstability of lamellar eutectic growth below the minimum-undercooling spacing, Met. Mat. Trans 35A, 1815 (2004). Abstract
23. B. Echebarria, R. Folch, A. Karma, M. Plapp: Quantitative phase field model of alloy solidification, Phys. Rev. E 70, 061604 (2004). Abstract Manuscript: cond-mat/0404164

2005

24. R. Folch, M. Plapp: Quantitative phase-field modeling of two-phase solidification, Phys. Rev. E 72, 011602 (2005). Abstract Manuscript: cond-mat/0502267
25. A. Wouterse, M. Plapp, A. P. Philipse: On the caging number of two- and three-dimensional hard spheres, J. Chem. Phys. 123, 054507 (2005). Abstract

2007

26. M. Plapp: Three-dimensional phase-field simulations of directional solidification, J. Cryst. Growth 303, 49 (2007). Abstract
27. E. Meca, M. Plapp: Phase-field study of the cellular bifurcation in dilute binary alloys, Metall. Mater. Trans. A 38, 1407 (2007). Abstract

2008

28. A. Parisi, M. Plapp: Stability of lamellar eutectic growth, Acta Materialia 56, 1348 (2008). Abstract
29. J. Mellenthin, A. Karma, M. Plapp: Phase-field crystal study of grain-boundary premelting, Phys. Rev. B 78, 184110 (2008). Manuscript: arXiv:0807.5083

2009

30. L. Amirouche and M. Plapp: Phase-field modeling of the discontinuous precipitation reaction, Acta Materialia 57, 237 (2009). Manuscript: arXiv:0809.0642
31. M. Asta, C. Beckermann, A. Karma, W. Kurz, R. Napolitano, M. Plapp, G. Purdy, M. Rappaz, R. Trivedi: Solidification microstructures and solid-state parallels: Recent developments, future directions, Acta Materialia 57, 941 (2009). Abstract
32. T. Kaempfer, M. Plapp: Phase-field modeling of dry snow metamorphism, Phys. Rev. E 79, 031502 (2009). Abstract

2010

33. A. Marrocco, H. Henry, I. B. Holland, M. Plapp, S. J. Seror, B. Perthame: Models of self-organizing bacterial communities and comparisons with experimental observations, Math. Model. Nat. Phenom. 5, 148 (2010). Abstract
34. S. Gurevich, A. Karma, M. Plapp, R. Trivedi: Phase-field study of three-dimensional steady-state growth shapes in directional solidification, Phys. Rev. E 81, 011603 (2010). Abstract
35. M. Perrut, A. Parisi, S. Akamatsu, S. Bottin-Rousseau, G. Faivre, M. Plapp: Role of transverse temperature gradients in the generation of lamellar eutectic solidification patterns, Acta Materialia 58, 1761 (2010). Abstract
36. S. Le Roy, E. Søndergård, I. S. Nerbø, M. Kildemo, M. Plapp: Diffuse-interface model for nanopatterning induced by self-sustained ion-etch masking, Phys. Rev. B 81, 161401(R) (2010). Abstract. Manuscript: arXiv:1003.1274
37. A. Parisi, M. Plapp: Defects and multistability in eutectic solidification patterns, EPL 90, 26010 (2010). Abstract. Manuscript: arXiv:1005.4466
38. K.-A. Wu, M. Plapp, P. W. Voorhees: Controlling crystal symmetries in phase-field crystal models, J. Phys.: Condens. Matter 22, 364102 (2010). Abstract. Manuscript: arXiv:1008.4019
39. S. Nguyen, R. Folch, V. K. Verma, H. Henry, M. Plapp: Phase-field simulations of viscous fingering in shear-thinning fluids, Phys. Fluids 22, 103102 (2010). Abstract. Manuscript: arXiv:0912.0148

2011

40. M. Plapp: Remarks on some open problems in phase-field modelling of solidification, Phil. Mag. 91, 25 (2011). Abstract. Manuscript: arXiv:1004.4502
41. A. Choudhury, M. Plapp, B. Nestler: Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys, Phys. Rev. E 83, 051608 (2011). Abstract. Manuscript: arXiv:1103.4806
42. M. Serefoglu, R. E. Napolitano, M. Plapp: Phase-field investigation of rod eutectic morphologies under geometrical confinement, Phys. Rev. E 84, 011614 (2011). Abstract.
43. M. Plapp: Unified derivation of phase-field models for alloy solidification from a grand-potential functional, Phys. Rev. E 84, 031601 (2011). Abstract. Manuscript: arXiv:1105.1670
44. M. Nicoli, M. Plapp, H. Henry: Phase-field models with tensorial mobilities for accurate solution of two-phase transport problems, Phys. Rev. E 84, 046707 (2011). Abstract. Manuscript: arXiv:1111.5268

2012

45. I. Steinbach, L. Zhang, M. Plapp: Phase-field model with finite interface dissipation, Acta Materialia 60, 2689 (2012). Abstract.
46. H. Henry, J. Mellenthin, M. Plapp: An orientation-field model for polycristalline solidification with a singular coupling between order and orientation, Phys. Rev. B 86, 054117 (2012). Abstract. Manuscript: arXiv:1207.6526
47. U. Thiele, A. Archer, M. Plapp: Thermodynamically consistent description of the hydrodynamics of free surfaces covered by insoluble surfactants of high concentration, Physics of Fluids 24, 102107 (2012). Abstract. Manuscript: arXiv:1202.1688
48. I. Steinbach, M. Plapp: Pearlite revisited, Continuum Mechanics and Thermodynamics 24, 665-673 (2012). Abstract.

2013

49. J. Valloton, J. A. Dantzig, M. Plapp, M. Rappaz: Modeling of peritectic coupled growth in Cu-Sn alloys, Acta Mater. 61, 5549-5560 (2013). Abstract.

2014

50. Y. Ma, M. Plapp: Phase-field simulations and geometrical characterization of cellular solidification fronts, J. Cryst. Growth 385, 140-147 (2014). Abstract.
51. A. Slimani, A. Iratni, H. Henry, M. Plapp, J.-N. Chazalviel, F. Ozanam, N. Gabouze: Macropore formation in p-type silicon: toward the modeling of morphology, Nanoscale Res. Lett. 9, 585 (2014). Abstract.

2015

52. S. Ghosh, A. Choudhury, M. Plapp, S. Bottin-Rousseau, G. Faivre, S. Akamatsu: Interphase anisotropy effects on lamellar eutectics: A numerical study, Phys. Rev. E 91, 022407 (2015). Abstract.
53. J. Gorchon, J. Curiale, A. Cebers, A. Lemaitre, N. Vernier, M. Plapp, V. Jeudy: Current-induced fingering instability in magnetic domain walls, Phys. Rev. B 92, 060411(R) (2015). Abstract, Manuscript: arXiv:1409.1007
54. P. Claudin, H. Jarry, G. Vignoles, M. Plapp, B. Andreotti: Physical processes causing the formation of penitentes, Phys. Rev. E 92, 033015 (2015). Abstract, Manuscript: arXiv:1511.01725, Review in Physics - Focus
55. M. Ardré, H. Henry, C. Douarche, M. Plapp: An individual-based model for biofilm formation at liquid surfaces, Biophys. Journal 12, 066015 (2015). Abstract, Manuscript: arXiv:1512.04697

2016

56. C. Cardon, R. Le Tellier, M. Plapp: Modelling of liquid phase segregation in the Uranium-Oxygen binary system, Calphad 52, 47 (2016). Abstract
57. S. Akamatsu, M. Plapp: Eutectic and peritectic solidification patterns, Current Opinion in Solid State and Materials Science 20, 46 (2016). Abstract
58. A. Cartalade, A. Younsi, M. Plapp: Lattice Boltzmann simulations of 3D crystal growth: Numerical schemes for a phase-field model with anti-trapping current, Computers and Mathematics with Applications 71, 1784-1798 (2016). Abstract
59. M. Plapp: Phase-field modelling of solidification microstructures, Journal of the Indian Institute of Science 96, 179-198 (2016). Abstract, Article in OpenAccess

2017

60. M. Plapp, S. Bottin-Rousseau, G. Faivre, S. Akamatsu: Eutectic solidification: Interest of microgravity environment, Comptes Rendus Mecanique 345, 56-65 (2017). Abstract, Article in OpenAccess.
61. B. Korbuly, T. Pusztai, G. I. Tóth, H. Henry, M. Plapp, L. Gránásy: Orientation-field models for polycrystalline solidification: Grain coarsening and complex growth forms, J. Cryst. Growth 457, 32-37 (2017). Abstract.
62. B. Korbuly, T. Pusztai, H. Henry, M. Plapp, M. Apel, L. Gránásy: Grain coarsening in two-dimensional phase-field models with an orientation field, Phys. Rev. E 95, 053303 (2017). Abstract.
63. S. Ghosh, M. Plapp: Influence of interphase boundary anisotropy on bulk eutectic solidification microstructures, Acta Materialia 140, 140-148 (2017). Abstract.
64. B. Korbuly, M. Plapp, H. Henry, J. A. Warren, L. Gránásy, T. Pusztai: Topological defects in two-dimensional orientation-field models for grain growth, Phys. Rev. E 96, 052802 (2017). Abstract.

2018

65. T. Philippe, H. Henry, M. Plapp: Nucleation of crystal surfaces with corner energy regularization, J. Cryst. Growth 503, 20-27 (2018). Abstract.
66. M. Gaudig, M. Maiberg, M. Plapp, R. B. Wehrspohn: Model for black silicon formation just from surface temperature non-uniformities, J. Appl. Phys. 124, 233302 (2018). Abstract.

2019

67. S. Ghosh, A. Karma, M. Plapp, S. Akamatsu, S. Bottin-Rousseau, G. Faivre: Influence of morphological instability on grain boundary trajectory during directional solidification, Acta Materialia 175, 214-221 (2019). Abstract, Manuscript: Arxiv 1901.06705.
68. M. Ignacio, M. Plapp: Spacing homogenization in lamellar eutectic arrays with anisotropic interphase boundaries, Phys. Rev. Materials 3, 113403 (2019). Abstract, Manuscript: Arxiv 2101.01040.

2020

Preprints

Book Chapters

  • M. Plapp: Phase-field models, pp. 129-175 in "Multiphase microfluidics: The Diffuse Interface Model", CISM Courses and Lectures vol. 538, edited by R. Mauri, SpringerWienNewYork (2012).
    (Manuscript (PDF), 320 kB)
  • M. Plapp: Phase-field models, pp. 631--668 in "Handbook of Crystal Growth, 2nd edition, Vol. 1A", edited by T. Nishinaga, Elsevier (2015).
    (Manuscript (PDF))

    Conference Proceedings

  • F. Dunlop, M. Plapp: Scaling profiles of a spreading drop from Langevin or Monte-Carlo dynamics, pp. 303-308 in "On Three Levels : Micro-, Meso-, and Macro-Approaches in Physics", edited by M. Fannes et al., Plenum Press, New-York (1994).
    (PostScript file, gzipped, 50 kB)
  • M. Plapp, J.-F. Gouyet: Interface dynamics in a mean-field lattice gas model: Dendritic growth, pp. 21-28 in "Proceedings of the 8th Joint EPS-APS International Conference on Physics Computing", edited by P. Borcherds, M. Bubak, A. Maksymowicz, Academic Computer Centre CYFRONET, Krakow, Poland (1996).
    (PostScript file with figures, gzipped, 63 kB)
  • J.-F. Gouyet, M. Plapp: Interface dynamics in a mean-field lattice gas model, paper presented at the ISMANAM 1997 conference, Spain; Materials Science Forum Vols. 269-272, pp. 681-686 (1998).
    (Abstract, PostScript file with figures, gzipped, 100 kB)
  • J.-F. Gouyet, M. Plapp: Vacancy Mediated Spinodal Decomposition of a Two-component Droplet: Pattern Formation at Surfaces, paper presented at 7th International Workshop and School on Nonlinear Dynamics and Complex Systems, sept 7-10, 1999, Minsk, Belarus; Nonlinear Phenomena in Complex Systems 3:3, pp. 220-225 (2000).
  • M. Plapp: Formation de colonies eutectiques: simulations et théorie, Rencontre du Non-Linéaire IHP-Paris 2000, Paris Onze Edition, France, pp. 7-10 (2000).
  • A. Karma, Y. H. Lee, M. Plapp: Phase-Field Modeling of Dendritic Evolution in Undercooled Melts, pp. 113-118 in "Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing", edited by R. Abbaschian, H. Brody and A. Mortensen, The Minerals, Metals and Materials Society (TMS) (2001).
    (Abstract)
  • M.-O. Bernard, M. Plapp, J.-F. Gouyet: A lattice gas model of electrochemical cells: Mean-field kinetic approach, contributed paper for the FRACTAL 2002 conference, Spain; pp. 235-246 in "Emergent Nature - Patterns, Growth and Scaling in the Sciences", edited by M. M. Novak, World Scientific, Singapore (2001).
    (Abstract, manuscript as gzipped PostScript, as PDF file.
  • R. Folch, M. Plapp: Phase-field Modeling of Eutectic Solidification: From Oscillations to Invasion, Proceedings of the workshop "Computational Physics of Transport and Interface Dynamics", Dresden, Germany, March 2002; pp. 182-189 in "Interface and Transport Dynamics - Computational Modelling", edited by H. Emmerich, B. Nestler, and M. Schreckenberg, Lecture Notes in Computational Science and Engineering 32, Springer, Berlin (2003).
    (Abstract; the manuscript can be downloaded from the arXiv.org e-Print archive as cond-mat/0206237)
  • M. Dejmek, R. Folch, A. Parisi, M. Plapp: Three-dimensional phase-field simulations of directional solidification, pp. 387-392 in "Solidification processes and microstructures: A symposium in honor of Prof. W. Kurz", edited by M. Rappaz, C. Beckermann, and R. Trivedi, The Minerals, Metal and Materials Society, Warrendale, PA (2004).
    (Abstract; the manuscript can be downloaded from the arXiv.org e-Print archive as cond-mat/0401250)
  • A. Parisi, M. Plapp, S. Akamatsu, S. Bottin-Rousseau, M. Perrut, and G. Faivre: Three-dimensional phase-field simulations of eutectic solidification and comparison to in situ experimental observations, pp. 417-424 in "Modeling of Casting, Welding, and Advanced Solidification Processes - XI", edited by C.-A. Gandin and M. Bellet, The Minerals, Metal and Materials Society, Warrendale, PA (2006).
    (Abstract; PDF version of the manuscript)
  • M. Plapp: Phase-field simulations of crystal growth, pp. 247-254 in "Selected topics on crystal growth - 14th International Summer School on Crystal Growth", edited by M. Wang, K. Tsukamoto, and D. Wu, AIP Conference Proceedings Vol. 1270, Melville, NY (2010).
    (
    Abstract; PDF version of the manuscript)
  • L. Amirouche, M. Plapp: On the effect of bulk diffusion on the initiation of the discontinuous precipitation reaction: phase-field simulations, pp. 549-554 in "Phase Transformations in Matierals", Solid State Phenomena 172-174 (2011).
    (
    Abstract; PDF version of the manuscript)
  • S. Akamatsu, S. Bottin-Rousseau, G. Faivre, S. Ghosh, M. Plapp: Lamellar eutectic growth with anisotropic interphase boundaries, Proceedings of MCWASP XIV, Japan (2015); IOP Conf. Series: Materials Science and Engineering 84, 012083 (2015).
    (
    Abstract)
  • S. Akamatsu, S. Bottin-Rousseau, G. Faivre, S. Ghosh, M. Plapp: Grain and interphase boundary anisotropy and growth pattern formation: Theory, experiments and numerics, pp. 877-878 in "Proceedings of the Inernational Conference on Solid-Solid phase transformations in inorganic materials 2015 (PTM2015)", edited by M. Militzer, G. Botton, L.-Q. Chen, J. Howe, C. Sinclair, and H. Zurob.
  • S. Ghosh, M. Plapp: Influence of interphase anisotropy on lamellar eutectic growth patterns, Proceedings of the ICSSP6 conference, Hyderabad, India, novembre 2015; Transactions of the Indian Institute of Metals 68, 1235 (2015).
  • C. Sarkis, L. Silva, C.-A. Gandin, M. Plapp: Three-dimensional modeling of a thermal dendrite using the phase field method with automatic anisotropic and unstructured adaptive finite element meshing, 4th International Conference on Advances in Solidification Processes (ICASP-4); IOP Conf. Series: Materials Science and Engineering 117, 012008 (2016).

    Miscellaneous

  • M. Plapp, Habilitation manuscript (in french): Modèles de champ de phase pour l'évolution de structures complexes
  • R. Trivedi, A. Karma, T. S. Lo, P. Mazumder, J. S. Park, M. Plapp: Dynamic Pattern Formation in the Two-Phase Region of Peritectic Systems, contributed paper for the 2nd workshop on Solidification Microstructures, Zermatt, July 5-10, 1998 (extracted from a CD-Rom edited by R. Trivedi and M. Rappaz, Ecole Polytechnique Fédérale de Lausanne)
  • A. Karma, M. Plapp: Modeling of Microstructural Pattern Formation in Directional Solidification, NERSC Annual Report, p. 55, Lawrence Berkeley National Laboratory (1998)

    Back to HomePage