Most cited papers in Solidification and crystal growth phenomena
What are the most cited papers in Solidification and crystal growth phenomena?
The most cited paper in Solidification and crystal growth phenomena is "Metallic Phase with Long-Range Orientational Order and No Translational Symmetry" (Daniel Shechtman, I. A. Blech, D. Gratias et al., 1984), with 7,101 citations. Next come "A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening" (3,836) and "On spinodal decomposition" (3,597).
Showing 50 of 100 papers. Every paper with more than 610 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Metallic Phase with Long-Range Orientational Order and No Translational Symmetry Daniel Shechtman, I. A. Blech, D. Gratias et al. · Physical Review Letters | 12 Nov 1984 | 7,101 |
| 2 | A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening Samuel M. Allen, John W. Cahn · Acta Metallurgica | Jun 1979 | 3,836 |
| 3 | On spinodal decomposition John W. Cahn · Acta Metallurgica | Sep 1961 | 3,597 |
| 4 | Stability of a Planar Interface During Solidification of a Dilute Binary Alloy William W. Mullins, Robert F. Sekerka · Journal of Applied Physics | Feb 1964 | 3,148 |
| 5 | Phase-Field Models for Microstructure Evolution Long‐Qing Chen · Annual Review of Materials Research | 28 Jul 2002 | 2,998 |
| 6 | Long-scale evolution of thin liquid films Alexander Oron, Stephen Harvard Davis, S. George Bankoff · Reviews of Modern Physics | Jul 1997 | 2,930 |
| 7 | Nucleation and growth of thin films J. A. Venables, G. D. T. Spiller, Margrit Hanbücken · Reports on Progress in Physics | Apr 1984 | 2,927 |
| 8 | A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems Vaughan R. Voller, Chander Prakash · International Journal of Heat and Mass Transfer | Aug 1987 | 2,677 |
| 9 | Instabilities and pattern formation in crystal growth James S. Langer · Reviews of Modern Physics | 1980 | 2,637 |
| 10 | DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS Daniel Anderson, Geoffrey B. McFadden, Adam A. Wheeler · Annual Review of Fluid Mechanics | 1998 | 2,165 |
| 11 | The theory of Ostwald ripening Peter W. Voorhees · Journal of Statistical Physics | 1985 | 2,065 |
| 12 | Morphological Stability of a Particle Growing by Diffusion or Heat Flow William W. Mullins, Robert F. Sekerka · Journal of Applied Physics | Feb 1963 | 2,016 |
| 13 | Phase Separation by Spinodal Decomposition in Isotropic Systems John W. Cahn · The Journal of Chemical Physics | 1965 | 1,907 |
| 14 | Phase-Field Simulation of Solidification William J. Boettinger, James A. Warren, Christoph Beckermann et al. · Annual Review of Materials Research | 28 Jul 2002 | 1,780 |
| 15 | ENTHALPY-POROSITY TECHNIQUE FOR MODELING CONVECTION-DIFFUSION PHASE CHANGE: APPLICATION TO THE MELTING OF A PURE METAL A. D. Brent, Vaughan R. Voller, Kenneth Reid · Numerical Heat Transfer | Apr 1988 | 1,698 |
| 16 | The redistribution of solute atoms during the solidification of metals William A. Tiller, Kenneth A. Jackson, John W. Rutter et al. · Acta Metallurgica | Jul 1953 | 1,697 |
| 17 | Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling David Jacqmin · Journal of Computational Physics | Oct 1999 | 1,644 |
| 18 | Quantitative phase-field modeling of dendritic growth in two and three dimensions Alain Karma, Wouter‐Jan Rappel · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | Apr 1998 | 1,496 |
| 19 | Steady state columnar and equiaxed growth of dendrites and eutectic J.D. Hunt · Materials Science and Engineering | Jul 1984 | 1,446 |
| 20 | Modeling and numerical simulations of dendritic crystal growth Ryo Kobayashi · Physica D Nonlinear Phenomena | Mar 1993 | 1,410 |
| 21 | Theory of microstructural development during rapid solidification W. Kurz, Bruno Giovanola, R. Trivedi · Acta Metallurgica | May 1986 | 1,341 |
| 22 | Phase-field models in materials science Ingo Steinbach · Modelling and Simulation in Materials Science and Engineering | 30 Jul 2009 | 1,318 |
| 23 | PHYSICAL REVIEW LETTERS Richard C. Brewer, David A. Kessler, Joel Koplik et al. · Elsevier eBooks | 1988 | 1,200 |
| 24 | Applications of semi-implicit Fourier-spectral method to phase field equations Long‐Qing Chen, Jie Shen · Computer Physics Communications | Feb 1998 | 1,170 |
| 25 | The scalar auxiliary variable (SAV) approach for gradient flows Jie Shen, Jie Xu, Jiang Yang · Journal of Computational Physics | 23 Oct 2017 | 1,155 |
| 26 | Dendrite growth at the limit of stability: tip radius and spacing W. Kurz, David J. Fisher · Acta Metallurgica | 1981 | 1,114 |
| 27 | Growth mechanism and growth habit of oxide crystals Wenjun Li, Er‐Wei Shi, Weizhuo Zhong et al. · Journal of Crystal Growth | May 1999 | 1,112 |
| 28 | Phase-field model for binary alloys Seong Gyoon Kim, Won Tae Kim, Toshio Suzuki · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | Dec 1999 | 1,097 |
| 29 | Model for solute redistribution during rapid solidification Michael J. Aziz · Journal of Applied Physics | Feb 1982 | 1,090 |
| 30 | Computer simulation of grain growth—I. Kinetics M. P. Anderson, David J. Srolovitz, G. S. Grest et al. · Acta Metallurgica | May 1984 | 1,077 |
| 31 | A new hot-tearing criterion M. Rappaz, Jean Marie Drezet, M. Gremaud · Metallurgical and Materials Transactions A | Feb 1999 | 1,075 |
| 32 | Single-crystal laser deposition of superalloys: processing–microstructure maps M. Gäumann, Cyrille Bezençon, Paula Canalís et al. · Acta Materialia | Apr 2001 | 1,047 |
| 33 | Probabilistic modelling of microstructure formation in solidification processes M. Rappaz, Charles‐André Gandin · Acta Metallurgica et Materialia | Feb 1993 | 1,024 |
| 34 | On the stability of surfaces of stressed solids David J. Srolovitz · Acta Metallurgica | Feb 1989 | 1,012 |
| 35 | An introduction to phase-field modeling of microstructure evolution Nele Moelans, Bart Blanpain, Patrick Wollants · Calphad | 5 Dec 2007 | 1,009 |
| 36 | The gradient theory of phase transitions and the minimal interface criterion Luciano Modica · Archive for Rational Mechanics and Analysis | Jun 1987 | 1,004 |
| 37 | On the dynamics of phase growth L. E. Scriven · Chemical Engineering Science | Apr 1959 | 997 |
| 38 | Modeling Elasticity in Crystal Growth Ken R. Elder, Mark Katakowski, Mikko Haataja et al. · Physical Review Letters | 4 Jun 2002 | 992 |
| 39 | Phase-field model for isothermal phase transitions in binary alloys Adam A. Wheeler, William J. Boettinger, Geoffrey B. McFadden · Physical Review A | May 1992 | 985 |
| 40 | Pattern selection in fingered growth phenomena David A. Kessler, Joel Koplik, Herbert Levine · Advances In Physics | Jun 1988 | 982 |
| 41 | Fundamental aspects of VLS growth Eugene I. Givargizov · Journal of Crystal Growth | Dec 1975 | 979 |
| 42 | Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance Morton E. Gurtin · Physica D Nonlinear Phenomena | May 1996 | 969 |
| 43 | Revised structure zone model for thin film physical structure Russell F. Messier, Anupam Giri, R. Roy · Journal of Vacuum Science & Technology A Vacuum Surfaces and Films | Apr 1984 | 965 |
| 44 | Dynamics of film growth of GaAs by MBE from Rheed observations J.H. Neave, B.A. Joyce, Peter J. Dobson et al. · Applied Physics A | May 1983 | 964 |
| 45 | Crystal Nucleation in Liquids: Open Questions and Future Challenges in Molecular Dynamics Simulations Gabriele C. Sosso, Ji Chen, Stephen J. Cox et al. · Chemical Reviews | 26 May 2016 | 963 |
| 46 | Crystal growth: An introduction Robert L. Parker · Journal of Crystal Growth | Jun 1974 | 946 |
| 47 | Quasi–incompressible Cahn–Hilliard fluids and topological transitions John S. Lowengrub, Lev Truskinovsky · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences | 8 Oct 1998 | 942 |
| 48 | A phase field concept for multiphase systems Ingo Steinbach, F. Pezzolla, Britta Nestler et al. · Physica D Nonlinear Phenomena | Jul 1996 | 931 |
| 49 | Brownian motion in spinodal decomposition H.E. Cook · Acta Metallurgica | Mar 1970 | 915 |
| 50 | Flattening of a Nearly Plane Solid Surface due to Capillarity William W. Mullins · Journal of Applied Physics | 1959 | 901 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.