Phase-field methods in materials science and engineering N Provatas, K Elder John Wiley & Sons, 2011 | 1055 | 2011 |

Phase-field crystal modeling and classical density functional theory of freezing KR Elder, N Provatas, J Berry, P Stefanovic, M Grant Physical Review B—Condensed Matter and Materials Physics 75 (6), 064107, 2007 | 688 | 2007 |

Efficient computation of dendritic microstructures using adaptive mesh refinement N Provatas, N Goldenfeld, J Dantzig Physical Review Letters 80 (15), 3308, 1998 | 395 | 1998 |

Adaptive mesh refinement computation of solidification microstructures using dynamic data structures N Provatas, N Goldenfeld, J Dantzig Journal of computational physics 148 (1), 265-290, 1999 | 344 | 1999 |

Phase-field crystals with elastic interactions P Stefanovic, M Haataja, N Provatas Physical review letters 96 (22), 225504, 2006 | 316 | 2006 |

Phase-field-crystal dynamics for binary systems: Derivation from dynamical density functional theory, amplitude equation formalism, and applications to alloy heterostructures ZF Huang, KR Elder, N Provatas Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 82 (2 …, 2010 | 255 | 2010 |

Free Energy Functionals for Efficient Phase Field Crystal Modeling<? format?> of Structural Phase Transformations M Greenwood, N Provatas, J Rottler Physical review letters 105 (4), 045702, 2010 | 233 | 2010 |

Sharp interface limits of phase-field models KR Elder, M Grant, N Provatas, JM Kosterlitz Physical Review E 64 (2), 021604, 2001 | 231 | 2001 |

Phase field crystal study of deformation and plasticity in nanocrystalline materials P Stefanovic, M Haataja, N Provatas Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 80 (4 …, 2009 | 223 | 2009 |

Phase-field simulation of solidification morphology in laser powder deposition of Ti–Nb alloys V Fallah, M Amoorezaei, N Provatas, SF Corbin, A Khajepour Acta Materialia 60 (4), 1633-1646, 2012 | 191 | 2012 |

Using the phase-field crystal method in the multi-scale modeling of microstructure evolution N Provatas, JA Dantzig, B Athreya, P Chan, P Stefanovic, N Goldenfeld, ... Jom 59, 83-90, 2007 | 173 | 2007 |

Kinetic roughening in slow combustion of paper J Maunuksela, M Myllys, OP Kähkönen, J Timonen, N Provatas, MJ Alava, ... Physical review letters 79 (8), 1515, 1997 | 170 | 1997 |

Amplitude expansion of the binary phase-field-crystal model KR Elder, ZF Huang, N Provatas Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 81 (1 …, 2010 | 164 | 2010 |

Cluster evolution mechanisms during aging in Al–Mg–Si alloys V Fallah, B Langelier, N Ofori-Opoku, B Raeisinia, N Provatas, S Esmaeili Acta Materialia 103, 290-300, 2016 | 159 | 2016 |

Phase-field-crystal methodology for modeling of structural transformations M Greenwood, J Rottler, N Provatas Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 83 (3 …, 2011 | 150 | 2011 |

The significance of spatial length scales and solute segregation in strengthening rapid solidification microstructures of 316L stainless steel T Pinomaa, M Lindroos, M Walbrühl, N Provatas, A Laukkanen Acta Materialia 184, 1-16, 2020 | 136 | 2020 |

Modeling structural transformations in binary alloys with phase field crystals M Greenwood, N Ofori-Opoku, J Rottler, N Provatas Physical Review B—Condensed Matter and Materials Physics 84 (6), 064104, 2011 | 124 | 2011 |

A quantitative multi-phase field model of polycrystalline alloy solidification N Ofori-Opoku, N Provatas Acta Materialia 58 (6), 2155-2164, 2010 | 119 | 2010 |

Multiscale modeling of solidification: phase-field methods to adaptive mesh refinement N Provatas, M Greenwood, B Athreya, N Goldenfeld, J Dantzig International Journal of Modern Physics B 19 (31), 4525-4565, 2005 | 110 | 2005 |

Solidification microstructure simulation of Ti-6Al-4V in metal additive manufacturing: A review J Li, X Zhou, M Brochu, N Provatas, YF Zhao Additive Manufacturing 31, 100989, 2020 | 109 | 2020 |