Nucleation of crystal surfaces with corner energy regularization
•Evolution of crystal surfaces is regularized by adding an energy to corners.•Nucleation of crystalline surfaces is analogous to the Cahn and Hilliard theory.•As compared with saddle point nucleation, ridge crossing is dynamically favoured. The thermodynamics of strongly anisotropic crystalline surf...
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Published in | Journal of crystal growth Vol. 503; pp. 20 - 27 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.12.2018
Elsevier BV Elsevier |
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Abstract | •Evolution of crystal surfaces is regularized by adding an energy to corners.•Nucleation of crystalline surfaces is analogous to the Cahn and Hilliard theory.•As compared with saddle point nucleation, ridge crossing is dynamically favoured.
The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a binary mixture exhibiting phase separation. On a metastable planar surface, formation of stable orientations requires a nucleation process, in which the energy associated with the presence of corners must be considered. In this context, a nucleation event corresponds to the formation of a critical shape for the crystalline surface before the system enters the growth regime. We first derive the Euler-Lagrange equation for crystal surface nucleation, in two dimensions, and show that the saddle-point condition corresponds to a vanishing chemical potential along this critical surface. We then perform numerical simulation of the equation of motion for the crystal surface and show that, as compared with saddle point nucleation, ridge crossing is dynamically favoured. |
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AbstractList | •Evolution of crystal surfaces is regularized by adding an energy to corners.•Nucleation of crystalline surfaces is analogous to the Cahn and Hilliard theory.•As compared with saddle point nucleation, ridge crossing is dynamically favoured.
The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a binary mixture exhibiting phase separation. On a metastable planar surface, formation of stable orientations requires a nucleation process, in which the energy associated with the presence of corners must be considered. In this context, a nucleation event corresponds to the formation of a critical shape for the crystalline surface before the system enters the growth regime. We first derive the Euler-Lagrange equation for crystal surface nucleation, in two dimensions, and show that the saddle-point condition corresponds to a vanishing chemical potential along this critical surface. We then perform numerical simulation of the equation of motion for the crystal surface and show that, as compared with saddle point nucleation, ridge crossing is dynamically favoured. The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a binary mixture exhibiting phase separation. On a metastable planar surface, formation of stable orientations requires a nucleation process, in which the energy associated with the presence of corners must be considered. In this context, a nucleation event corresponds to the formation of a critical shape for the crystalline surface before the system enters the growth regime. We first derive the Euler-Lagrange equation for crystal surface nucleation, in two dimensions, and show that the saddle-point condition corresponds to a vanishing chemical potential along this critical surface. We then perform numerical simulation of the equation of motion for the crystal surface and show that, as compared with saddle point nucleation, ridge crossing is dynamically favoured. |
Author | Plapp, M. Philippe, T. Henry, H. |
Author_xml | – sequence: 1 givenname: T. surname: Philippe fullname: Philippe, T. email: thomas.philippe@polytechnique.edu – sequence: 2 givenname: H. surname: Henry fullname: Henry, H. – sequence: 3 givenname: M. surname: Plapp fullname: Plapp, M. |
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CitedBy_id | crossref_primary_10_1098_rsta_2020_0304 crossref_primary_10_1103_PhysRevMaterials_3_113402 crossref_primary_10_1098_rspa_2020_0227 crossref_primary_10_1002_pssb_201800518 crossref_primary_10_1103_PhysRevE_106_034119 crossref_primary_10_1103_PhysRevE_103_032801 |
Cites_doi | 10.1524/zkri.1901.34.1.449 10.1103/PhysRevE.69.011603 10.1080/14786435.2011.616548 10.1016/0039-6028(64)90073-1 10.1016/j.jcrysgro.2004.10.137 10.1137/0152065 10.1016/j.jcp.2007.04.020 10.1080/14786435.2010.486757 10.1063/1.1730447 10.1103/PhysRevB.48.5808 10.1103/PhysRevA.46.6505 10.1007/s002050200193 10.1126/science.251.4992.393 10.1103/PhysRev.82.87 10.1098/rsta.1951.0006 10.1063/1.3644935 10.1016/j.scriptamat.2012.03.025 10.1016/S0167-2789(03)00048-4 10.1098/rspa.2014.0560 10.1103/PhysRevLett.86.1550 10.1063/1.4913592 10.1016/S0022-0248(98)01000-8 10.1063/1.481595 10.1016/S0167-2789(98)00181-X 10.1103/PhysRevLett.102.156103 10.1098/rspa.2008.0385 10.1103/PhysRevE.67.021606 10.1103/PhysRevE.84.061606 10.1016/0001-6160(74)90134-5 10.1103/PhysRevE.85.041603 |
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Keywords | A1. Growth models A1. Nucleation A1. Interfaces A1. Crystal morphology |
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References | Herring (b0005) 1951; 82 Williams, Bartelt (b0165) 1991; 251 Wise, Kim, Lowengrub (b0185) 2007; 226 Cahn, Hilliard (b0120) 1959; 31 Watson (b0065) 2004 Watson (b0105) 2014; 471 Di Carlo, Gurtin, Podio-Guidugli (b0150) 1992; 52 Torabi, Lowengrub, Voigt, Wise (b0060) 2009; 465 Savina, Golovin, Davis, Nepomnyashchy, Voorhees (b0075) 2003; 67 Ograin, Lowengrub (b0100) 2011; 84 Philippe, Blavette (b0130) 2011; 91 Philippe (b0145) 2015; 142 Golovin, Davis, Nepomnyashchy (b0090) 1999; 198 Cabrera (b0035) 1964; 2 Herring (b0010) 1953 Frank (b0025) 1963 Stewart, Goldenfeld (b0110) 1992; 46 Parisi (b0170) 1988 Torabi, Lowengrub (b0180) 2012; 85 Spencer (b0055) 2004; 69 Watson, Otto, Rubinstein, Davis (b0070) 2003; 178 Gurtin, Jabbour (b0155) 2002; 163 Yongsam Kim, Kim, Yang, Kim, Hwang, Noh, Kim, Chung (b0160) 2009; 102 Burton, Cabrera, Frank (b0020) 1951; 243 Cahn, Hoffman (b0040) 1974; 22 Plapp (b0175) 2011; 91 Golovin, Davis, Nepomnyashchy (b0095) 1998; 122 Philippe, Blavette (b0135) 2012; 67 DiCarlo, Gurtin, Podio-Guidugli (b0050) 1992; 52 Golovin, Nepomnyashchy, Davis, Zaks (b0080) 2001; 86 Philippe, Blavette (b0140) 2011; 135 Wulff (b0015) 1901; 34 Haußer, Voigt (b0085) 2005; 275 Schmelzer, Schmelzer, Gutzow (b0125) 2000; 112 Liu, Metiu (b0115) 1993; 48 Cabrera (b0030) 1963 Andreev (b0045) 1981; 53 Gurtin (10.1016/j.jcrysgro.2018.09.009_b0155) 2002; 163 Herring (10.1016/j.jcrysgro.2018.09.009_b0010) 1953 Philippe (10.1016/j.jcrysgro.2018.09.009_b0145) 2015; 142 Golovin (10.1016/j.jcrysgro.2018.09.009_b0080) 2001; 86 Di Carlo (10.1016/j.jcrysgro.2018.09.009_b0150) 1992; 52 Cabrera (10.1016/j.jcrysgro.2018.09.009_b0030) 1963 Plapp (10.1016/j.jcrysgro.2018.09.009_b0175) 2011; 91 Liu (10.1016/j.jcrysgro.2018.09.009_b0115) 1993; 48 Watson (10.1016/j.jcrysgro.2018.09.009_b0070) 2003; 178 Schmelzer (10.1016/j.jcrysgro.2018.09.009_b0125) 2000; 112 Herring (10.1016/j.jcrysgro.2018.09.009_b0005) 1951; 82 Wulff (10.1016/j.jcrysgro.2018.09.009_b0015) 1901; 34 Burton (10.1016/j.jcrysgro.2018.09.009_b0020) 1951; 243 Watson (10.1016/j.jcrysgro.2018.09.009_b0065) 2004 Ograin (10.1016/j.jcrysgro.2018.09.009_b0100) 2011; 84 Golovin (10.1016/j.jcrysgro.2018.09.009_b0090) 1999; 198 Philippe (10.1016/j.jcrysgro.2018.09.009_b0140) 2011; 135 Williams (10.1016/j.jcrysgro.2018.09.009_b0165) 1991; 251 Parisi (10.1016/j.jcrysgro.2018.09.009_b0170) 1988 DiCarlo (10.1016/j.jcrysgro.2018.09.009_b0050) 1992; 52 Cahn (10.1016/j.jcrysgro.2018.09.009_b0040) 1974; 22 Andreev (10.1016/j.jcrysgro.2018.09.009_b0045) 1981; 53 Philippe (10.1016/j.jcrysgro.2018.09.009_b0130) 2011; 91 Wise (10.1016/j.jcrysgro.2018.09.009_b0185) 2007; 226 Cahn (10.1016/j.jcrysgro.2018.09.009_b0120) 1959; 31 Cabrera (10.1016/j.jcrysgro.2018.09.009_b0035) 1964; 2 Stewart (10.1016/j.jcrysgro.2018.09.009_b0110) 1992; 46 Spencer (10.1016/j.jcrysgro.2018.09.009_b0055) 2004; 69 Watson (10.1016/j.jcrysgro.2018.09.009_b0105) 2014; 471 Yongsam Kim (10.1016/j.jcrysgro.2018.09.009_b0160) 2009; 102 Golovin (10.1016/j.jcrysgro.2018.09.009_b0095) 1998; 122 Torabi (10.1016/j.jcrysgro.2018.09.009_b0180) 2012; 85 Savina (10.1016/j.jcrysgro.2018.09.009_b0075) 2003; 67 Philippe (10.1016/j.jcrysgro.2018.09.009_b0135) 2012; 67 Haußer (10.1016/j.jcrysgro.2018.09.009_b0085) 2005; 275 Frank (10.1016/j.jcrysgro.2018.09.009_b0025) 1963 Torabi (10.1016/j.jcrysgro.2018.09.009_b0060) 2009; 465 |
References_xml | – volume: 86 start-page: 1550 year: 2001 ident: b0080 publication-title: Phys. Rev. Lett. contributor: fullname: Zaks – volume: 84 start-page: 061606 year: 2011 ident: b0100 publication-title: Phys. Rev. E contributor: fullname: Lowengrub – start-page: 5 year: 1953 end-page: 81 ident: b0010 publication-title: Structure and Properties of Solid Surfaces contributor: fullname: Herring – volume: 135 start-page: 134508 year: 2011 ident: b0140 publication-title: J. Chem. Phys. contributor: fullname: Blavette – volume: 69 start-page: 011603 year: 2004 ident: b0055 publication-title: Phys. Rev. E contributor: fullname: Spencer – volume: 226 start-page: 414 year: 2007 ident: b0185 publication-title: J. Comp. Phys. contributor: fullname: Lowengrub – volume: 67 start-page: 021606 year: 2003 ident: b0075 publication-title: Phys. Rev. E contributor: fullname: Voorhees – volume: 31 start-page: 688 year: 1959 ident: b0120 publication-title: J. Chem. Phys. contributor: fullname: Hilliard – start-page: 1 year: 1963 end-page: 15 ident: b0025 article-title: Metal Surfaces contributor: fullname: Frank – volume: 471 start-page: 20140560 year: 2014 ident: b0105 publication-title: Proc. R. Soc. A contributor: fullname: Watson – volume: 52 start-page: 1111 year: 1992 ident: b0150 publication-title: SIAM J. Appl. Math. contributor: fullname: Podio-Guidugli – volume: 46 start-page: 6505 year: 1992 ident: b0110 publication-title: Phys. Rev. A contributor: fullname: Goldenfeld – volume: 91 start-page: 4606 year: 2011 end-page: 4622 ident: b0130 publication-title: Philos. Mag. contributor: fullname: Blavette – volume: 2 start-page: 320 year: 1964 ident: b0035 publication-title: Surf. Sci. contributor: fullname: Cabrera – volume: 163 start-page: 171 year: 2002 ident: b0155 publication-title: Arch. Rational Mech. Anal. contributor: fullname: Jabbour – volume: 91 start-page: 25 year: 2011 ident: b0175 publication-title: Phil. Mag. contributor: fullname: Plapp – volume: 48 start-page: 5808 year: 1993 ident: b0115 publication-title: Phys. Rev. B contributor: fullname: Metiu – volume: 53 start-page: 1063 year: 1981 ident: b0045 publication-title: Sov. Phys. JETP contributor: fullname: Andreev – volume: 465 start-page: 1337 year: 2009 ident: b0060 publication-title: Proc. R. Soc. A contributor: fullname: Wise – start-page: 329 year: 2004 end-page: 341 ident: b0065 article-title: Free boundary problems: theory and applications publication-title: International Series of Numerical Mathematics contributor: fullname: Watson – volume: 198 start-page: 1245 year: 1999 end-page: 1250 ident: b0090 publication-title: J. Cryst. Growth contributor: fullname: Nepomnyashchy – volume: 178 start-page: 127 year: 2003 ident: b0070 publication-title: Physica D contributor: fullname: Davis – volume: 82 start-page: 87 year: 1951 ident: b0005 publication-title: Phys. Rev. contributor: fullname: Herring – volume: 243 start-page: 299 year: 1951 ident: b0020 publication-title: Philos. Trans. R. Soc. London, Ser. A contributor: fullname: Frank – volume: 34 start-page: 449 year: 1901 ident: b0015 publication-title: Z. Kristallogr. contributor: fullname: Wulff – volume: 22 start-page: 1205 year: 1974 ident: b0040 publication-title: Acta Metall. contributor: fullname: Hoffman – volume: 122 start-page: 202 year: 1998 end-page: 230 ident: b0095 publication-title: Physica D contributor: fullname: Nepomnyashchy – volume: 67 start-page: 77 year: 2012 end-page: 80 ident: b0135 publication-title: Scr. Mater. contributor: fullname: Blavette – volume: 142 start-page: 094501 year: 2015 ident: b0145 publication-title: J. Chem. Phys. contributor: fullname: Philippe – volume: 251 start-page: 393 year: 1991 ident: b0165 publication-title: Science contributor: fullname: Bartelt – volume: 112 start-page: 3820 year: 2000 ident: b0125 publication-title: J. Chem. Phys. contributor: fullname: Gutzow – volume: 85 start-page: 041603 year: 2012 ident: b0180 publication-title: Phys. Rev. E contributor: fullname: Lowengrub – volume: 275 start-page: e47 year: 2005 ident: b0085 publication-title: J. Cryst. Growth contributor: fullname: Voigt – volume: 52 start-page: 1111 year: 1992 ident: b0050 publication-title: SIAM J. Appl. Math. contributor: fullname: Podio-Guidugli – year: 1988 ident: b0170 article-title: Statistical Field Theory (Frontiers in Physics) contributor: fullname: Parisi – volume: 102 start-page: 156103 year: 2009 ident: b0160 publication-title: Phys. Rev. Lett. contributor: fullname: Chung – start-page: 24 year: 1963 end-page: 31 ident: b0030 article-title: Symposium on Properties of Surfaces contributor: fullname: Cabrera – volume: 34 start-page: 449 year: 1901 ident: 10.1016/j.jcrysgro.2018.09.009_b0015 publication-title: Z. Kristallogr. doi: 10.1524/zkri.1901.34.1.449 contributor: fullname: Wulff – volume: 53 start-page: 1063 year: 1981 ident: 10.1016/j.jcrysgro.2018.09.009_b0045 publication-title: Sov. Phys. JETP contributor: fullname: Andreev – volume: 69 start-page: 011603 year: 2004 ident: 10.1016/j.jcrysgro.2018.09.009_b0055 publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.69.011603 contributor: fullname: Spencer – volume: 91 start-page: 4606 year: 2011 ident: 10.1016/j.jcrysgro.2018.09.009_b0130 publication-title: Philos. Mag. doi: 10.1080/14786435.2011.616548 contributor: fullname: Philippe – volume: 2 start-page: 320 year: 1964 ident: 10.1016/j.jcrysgro.2018.09.009_b0035 publication-title: Surf. Sci. doi: 10.1016/0039-6028(64)90073-1 contributor: fullname: Cabrera – volume: 275 start-page: e47 year: 2005 ident: 10.1016/j.jcrysgro.2018.09.009_b0085 publication-title: J. Cryst. Growth doi: 10.1016/j.jcrysgro.2004.10.137 contributor: fullname: Haußer – volume: 52 start-page: 1111 year: 1992 ident: 10.1016/j.jcrysgro.2018.09.009_b0150 publication-title: SIAM J. Appl. Math. doi: 10.1137/0152065 contributor: fullname: Di Carlo – volume: 226 start-page: 414 year: 2007 ident: 10.1016/j.jcrysgro.2018.09.009_b0185 publication-title: J. Comp. Phys. doi: 10.1016/j.jcp.2007.04.020 contributor: fullname: Wise – volume: 91 start-page: 25 year: 2011 ident: 10.1016/j.jcrysgro.2018.09.009_b0175 publication-title: Phil. Mag. doi: 10.1080/14786435.2010.486757 contributor: fullname: Plapp – year: 1988 ident: 10.1016/j.jcrysgro.2018.09.009_b0170 contributor: fullname: Parisi – volume: 31 start-page: 688 year: 1959 ident: 10.1016/j.jcrysgro.2018.09.009_b0120 publication-title: J. Chem. Phys. doi: 10.1063/1.1730447 contributor: fullname: Cahn – volume: 48 start-page: 5808 year: 1993 ident: 10.1016/j.jcrysgro.2018.09.009_b0115 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.48.5808 contributor: fullname: Liu – volume: 46 start-page: 6505 year: 1992 ident: 10.1016/j.jcrysgro.2018.09.009_b0110 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.46.6505 contributor: fullname: Stewart – volume: 163 start-page: 171 year: 2002 ident: 10.1016/j.jcrysgro.2018.09.009_b0155 publication-title: Arch. Rational Mech. Anal. doi: 10.1007/s002050200193 contributor: fullname: Gurtin – start-page: 5 year: 1953 ident: 10.1016/j.jcrysgro.2018.09.009_b0010 contributor: fullname: Herring – volume: 251 start-page: 393 year: 1991 ident: 10.1016/j.jcrysgro.2018.09.009_b0165 publication-title: Science doi: 10.1126/science.251.4992.393 contributor: fullname: Williams – volume: 82 start-page: 87 year: 1951 ident: 10.1016/j.jcrysgro.2018.09.009_b0005 publication-title: Phys. Rev. doi: 10.1103/PhysRev.82.87 contributor: fullname: Herring – volume: 243 start-page: 299 year: 1951 ident: 10.1016/j.jcrysgro.2018.09.009_b0020 publication-title: Philos. Trans. R. Soc. London, Ser. A doi: 10.1098/rsta.1951.0006 contributor: fullname: Burton – start-page: 329 year: 2004 ident: 10.1016/j.jcrysgro.2018.09.009_b0065 article-title: Free boundary problems: theory and applications contributor: fullname: Watson – volume: 135 start-page: 134508 year: 2011 ident: 10.1016/j.jcrysgro.2018.09.009_b0140 publication-title: J. Chem. Phys. doi: 10.1063/1.3644935 contributor: fullname: Philippe – volume: 67 start-page: 77 year: 2012 ident: 10.1016/j.jcrysgro.2018.09.009_b0135 publication-title: Scr. Mater. doi: 10.1016/j.scriptamat.2012.03.025 contributor: fullname: Philippe – volume: 178 start-page: 127 year: 2003 ident: 10.1016/j.jcrysgro.2018.09.009_b0070 publication-title: Physica D doi: 10.1016/S0167-2789(03)00048-4 contributor: fullname: Watson – volume: 471 start-page: 20140560 year: 2014 ident: 10.1016/j.jcrysgro.2018.09.009_b0105 publication-title: Proc. R. Soc. A doi: 10.1098/rspa.2014.0560 contributor: fullname: Watson – volume: 86 start-page: 1550 year: 2001 ident: 10.1016/j.jcrysgro.2018.09.009_b0080 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.86.1550 contributor: fullname: Golovin – volume: 142 start-page: 094501 year: 2015 ident: 10.1016/j.jcrysgro.2018.09.009_b0145 publication-title: J. Chem. Phys. doi: 10.1063/1.4913592 contributor: fullname: Philippe – volume: 198 start-page: 1245 issue: 199 year: 1999 ident: 10.1016/j.jcrysgro.2018.09.009_b0090 publication-title: J. Cryst. Growth doi: 10.1016/S0022-0248(98)01000-8 contributor: fullname: Golovin – volume: 112 start-page: 3820 year: 2000 ident: 10.1016/j.jcrysgro.2018.09.009_b0125 publication-title: J. Chem. Phys. doi: 10.1063/1.481595 contributor: fullname: Schmelzer – volume: 122 start-page: 202 year: 1998 ident: 10.1016/j.jcrysgro.2018.09.009_b0095 publication-title: Physica D doi: 10.1016/S0167-2789(98)00181-X contributor: fullname: Golovin – start-page: 1 year: 1963 ident: 10.1016/j.jcrysgro.2018.09.009_b0025 contributor: fullname: Frank – start-page: 24 year: 1963 ident: 10.1016/j.jcrysgro.2018.09.009_b0030 contributor: fullname: Cabrera – volume: 52 start-page: 1111 year: 1992 ident: 10.1016/j.jcrysgro.2018.09.009_b0050 publication-title: SIAM J. Appl. Math. doi: 10.1137/0152065 contributor: fullname: DiCarlo – volume: 102 start-page: 156103 year: 2009 ident: 10.1016/j.jcrysgro.2018.09.009_b0160 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.102.156103 contributor: fullname: Yongsam Kim – volume: 465 start-page: 1337 year: 2009 ident: 10.1016/j.jcrysgro.2018.09.009_b0060 publication-title: Proc. R. Soc. A doi: 10.1098/rspa.2008.0385 contributor: fullname: Torabi – volume: 67 start-page: 021606 year: 2003 ident: 10.1016/j.jcrysgro.2018.09.009_b0075 publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.67.021606 contributor: fullname: Savina – volume: 84 start-page: 061606 year: 2011 ident: 10.1016/j.jcrysgro.2018.09.009_b0100 publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.84.061606 contributor: fullname: Ograin – volume: 22 start-page: 1205 year: 1974 ident: 10.1016/j.jcrysgro.2018.09.009_b0040 publication-title: Acta Metall. doi: 10.1016/0001-6160(74)90134-5 contributor: fullname: Cahn – volume: 85 start-page: 041603 year: 2012 ident: 10.1016/j.jcrysgro.2018.09.009_b0180 publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.85.041603 contributor: fullname: Torabi |
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Snippet | •Evolution of crystal surfaces is regularized by adding an energy to corners.•Nucleation of crystalline surfaces is analogous to the Cahn and Hilliard... The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a binary mixture exhibiting phase separation. On a metastable planar... |
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SubjectTerms | A1. Crystal morphology A1. Growth models A1. Interfaces A1. Nucleation Binary mixtures Chemical potential Computer simulation Condensed Matter Crystal structure Crystal surfaces Crystallinity Energy Equations of motion Euler-Lagrange equation Nucleation Organic chemistry Phase separation Physics Regularization Saddle points Simulation |
Title | Nucleation of crystal surfaces with corner energy regularization |
URI | https://dx.doi.org/10.1016/j.jcrysgro.2018.09.009 https://www.proquest.com/docview/2137118046/abstract/ https://hal.science/hal-02344998 |
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