-
1
-
-
0001324158
-
Relationship between the anisotropic interface tension, the scaled interface width and the equilibrium shape in two dimensions
-
Y. AKUTSU and N. AKUTSU, Relationship between the anisotropic interface tension, the scaled interface width and the equilibrium shape in two dimensions, J. Phys. A, 19 (1986), pp. 2813-2820.
-
(1986)
J. Phys. A
, vol.19
, pp. 2813-2820
-
-
AKUTSU, Y.1
AKUTSU, N.2
-
2
-
-
27344455592
-
Kinetic model for step flow of [100] steps
-
L. BALYKOV and A. VOIGT, Kinetic model for step flow of [100] steps, Phys. Rev. E (3), 72 (2005), 022601.
-
(2005)
Phys. Rev. E
, vol.72
, Issue.3
, pp. 022601
-
-
BALYKOV, L.1
VOIGT, A.2
-
3
-
-
33748323585
-
A 2 + 1-dimensional terrace-step-kink model for epitaxial growth far from equilibrium
-
L. BALYKOV and A. VOIGT, A 2 + 1-dimensional terrace-step-kink model for epitaxial growth far from equilibrium, Multiscale Model. Simul., 5 (2006), pp. 45-61.
-
(2006)
Multiscale Model. Simul
, vol.5
, pp. 45-61
-
-
BALYKOV, L.1
VOIGT, A.2
-
4
-
-
27844547203
-
Finite element method for epitaxial growth with thermodynamic boundary conditions
-
E. BÄNSCH, F. HAUSSER, and A. VOIGT, Finite element method for epitaxial growth with thermodynamic boundary conditions, SIAM J. Sci. Comput., 26 (2005), pp. 2029-2046.
-
(2005)
SIAM J. Sci. Comput
, vol.26
, pp. 2029-2046
-
-
BÄNSCH, E.1
HAUSSER, F.2
VOIGT, A.3
-
5
-
-
4344578992
-
A proof of the Gibbs-Thomson formula in the droplet formation regime
-
M. BISKUP, L. CHAYES, and R. KOTECKY, A proof of the Gibbs-Thomson formula in the droplet formation regime, J. Statist. Phys., 116 (2004), pp. 175-203.
-
(2004)
J. Statist. Phys
, vol.116
, pp. 175-203
-
-
BISKUP, M.1
CHAYES, L.2
KOTECKY, R.3
-
6
-
-
0000067621
-
The growth of crystals and the equilibrium structure of their surfaces
-
W. K. BURTON, N. CABRERA, and F. C. FRANK, The growth of crystals and the equilibrium structure of their surfaces, Philos. Trans. Roy. Soc. London Ser. A, 243 (1951), pp. 299-358.
-
(1951)
Philos. Trans. Roy. Soc. London Ser. A
, vol.243
, pp. 299-358
-
-
BURTON, W.K.1
CABRERA, N.2
FRANK, F.C.3
-
7
-
-
0000791278
-
Kinetic model for a step edge in epitaxial growth
-
R. E. CAFLISCH, W. E, M. F. GYURE, B. MERRIMAN, and C. RATCH, Kinetic model for a step edge in epitaxial growth, Phys. Rev. E (3), 59 (1999), pp. 6879-6887.
-
(1999)
Phys. Rev. E
, vol.59
, Issue.3
, pp. 6879-6887
-
-
CAFLISCH, R.E.1
GYURE, W.E.M.F.2
MERRIMAN, B.3
RATCH, C.4
-
8
-
-
33748064454
-
Analysis of island dynamics in epitaxial growth of thin films
-
R. E. CAFLISCH and B. LI, Analysis of island dynamics in epitaxial growth of thin films, Multiscale Model. Simul., 1 (2003), pp. 150-171.
-
(2003)
Multiscale Model. Simul
, vol.1
, pp. 150-171
-
-
CAFLISCH, R.E.1
LI, B.2
-
9
-
-
33746267067
-
The elastic field of a surface step: The Marchenko-Parshin formula in the linear case
-
C. R. CONNELL, R. E. CAFLISCH, E. LUO, and G. SIMMS, The elastic field of a surface step: The Marchenko-Parshin formula in the linear case, J. Comput. Appl. Math., 196 (2006), pp. 368-386.
-
(2006)
J. Comput. Appl. Math
, vol.196
, pp. 368-386
-
-
CONNELL, C.R.1
CAFLISCH, R.E.2
LUO, E.3
SIMMS, G.4
-
10
-
-
0000235142
-
Soluble model for fibrous structures with steric constraints
-
P.-G. de GENNES, Soluble model for fibrous structures with steric constraints, J. Chem. Phys., 48 (1968), pp. 2257-2259.
-
(1968)
J. Chem. Phys
, vol.48
, pp. 2257-2259
-
-
de GENNES, P.-G.1
-
11
-
-
36849110552
-
Atomic view of surface diffusion: Tungsten on tungsten
-
G. EHRLICH and F. HUDDA, Atomic view of surface diffusion: Tungsten on tungsten, J. Chem. Phys., 44 (1966), pp. 1039-1099.
-
(1966)
J. Chem. Phys
, vol.44
, pp. 1039-1099
-
-
EHRLICH, G.1
HUDDA, F.2
-
12
-
-
0346343016
-
Applications of ideas from random matrix theory to step distributions on "misoriented" surfaces
-
T. L. EINSTEIN, Applications of ideas from random matrix theory to step distributions on "misoriented" surfaces, Ann. Henri Poincaré, 4 (2003), pp. S811-S824.
-
(2003)
Ann. Henri Poincaré
, vol.4
-
-
EINSTEIN, T.L.1
-
13
-
-
33748049129
-
Morphological evolution during epitaxial thin film growth: Formation of 2D islands and 3D mounds
-
J. W. EVANS, P. A. THIEL, and M. C. BARTELT, Morphological evolution during epitaxial thin film growth: Formation of 2D islands and 3D mounds, Surf. Sci. Rep., 61 (2006), pp. 1-128.
-
(2006)
Surf. Sci. Rep
, vol.61
, pp. 1-128
-
-
EVANS, J.W.1
THIEL, P.A.2
BARTELT, M.C.3
-
14
-
-
1542348412
-
YU. HERVIEU, Terrace-edge-kink model of atomic processes at the permeable steps
-
S. N. FILIMONOV and YU. YU. HERVIEU, Terrace-edge-kink model of atomic processes at the permeable steps, Surf. Sci., 553 (2004), pp. 133-144.
-
(2004)
Surf. Sci
, vol.553
, pp. 133-144
-
-
FILIMONOV, S.N.1
YU2
-
15
-
-
34250142002
-
walls, wetting, and melting
-
M. E. FISHER, WALKS, walls, wetting, and melting, J. Statist. Phys., 34 (1984), pp. 667-729.
-
(1984)
J. Statist. Phys
, vol.34
, pp. 667-729
-
-
FISHER, M.E.1
WALKS2
-
16
-
-
0000848494
-
Wall wandering and the dimensionality dependence of the commensurate-incommensurate transition
-
M. E. FISHER and D. S. FISHER, Wall wandering and the dimensionality dependence of the commensurate-incommensurate transition, Phys. Rev. B, 25 (1982), pp. 3192-3198.
-
(1982)
Phys. Rev. B
, vol.25
, pp. 3192-3198
-
-
FISHER, M.E.1
FISHER, D.S.2
-
17
-
-
0040219531
-
On the equilibrium of heterogeneous substances
-
Longmans, Green and Co, New York
-
J. W. GIBBS, On the equilibrium of heterogeneous substances (1876), in Collected Works, Vol. 1, Longmans, Green and Co., New York, 1928.
-
(1928)
Collected Works
, vol.1
-
-
GIBBS, J.W.1
-
19
-
-
30644462241
-
A discrete scheme for regularized anisotropic surface diffusion: A 6th order geometric evolution equation
-
F. HAUSSER and A. VOIGT, A discrete scheme for regularized anisotropic surface diffusion: A 6th order geometric evolution equation, Interfaces Free Bound., 7 (2005), pp. 353-369.
-
(2005)
Interfaces Free Bound
, vol.7
, pp. 353-369
-
-
HAUSSER, F.1
VOIGT, A.2
-
20
-
-
36149008975
-
Some theorems on the free energies of crystal surfaces
-
C. HERRING, Some theorems on the free energies of crystal surfaces, Phys. Rev., 82 (1951), pp. 87-93.
-
(1951)
Phys. Rev
, vol.82
, pp. 87-93
-
-
HERRING, C.1
-
21
-
-
0001597448
-
Profile of a decaying crystalline cone
-
N. ISRAELI and D. KANDEL, Profile of a decaying crystalline cone, Phys. Rev. B, 60 (1999), pp. 5946-5962.
-
(1999)
Phys. Rev. B
, vol.60
, pp. 5946-5962
-
-
ISRAELI, N.1
KANDEL, D.2
-
22
-
-
0033345114
-
Steps on surfaces: Experiments and theory
-
H.-C. JEONG and E. D. WILLIAMS, Steps on surfaces: Experiments and theory, Surf. Sci. Rep., 34 (1999), pp. 171-294.
-
(1999)
Surf. Sci. Rep
, vol.34
, pp. 171-294
-
-
JEONG, H.-C.1
WILLIAMS, E.D.2
-
23
-
-
0037454680
-
Effect of kink-rounding barriers on step edge fluctuations
-
J. KALLUNKI and J. KRUG, Effect of kink-rounding barriers on step edge fluctuations, Surf. Sci. Lett., 523 (2003), pp. L53-L58.
-
(2003)
Surf. Sci. Lett
, vol.523
-
-
KALLUNKI, J.1
KRUG, J.2
-
24
-
-
0001748539
-
Gibbs-Thomson formula for small island sizes: Corrections for high vapor densities
-
B. KRISHNAMACHARI, J. MCLEAN, B. COOPER, and J. SETHNA, Gibbs-Thomson formula for small island sizes: Corrections for high vapor densities, Phys. Rev. B, 54 (1996), pp. 8899-8907.
-
(1996)
Phys. Rev. B
, vol.54
, pp. 8899-8907
-
-
KRISHNAMACHARI, B.1
MCLEAN, J.2
COOPER, B.3
SETHNA, J.4
-
25
-
-
0036495373
-
A micromechanical model of surface steps
-
R. V. KUKTA and K. BHATTACHARYA, A micromechanical model of surface steps, J. Mech. Phys. Solids, 50 (2002), pp. 615-649.
-
(2002)
J. Mech. Phys. Solids
, vol.50
, pp. 615-649
-
-
KUKTA, R.V.1
BHATTACHARYA, K.2
-
27
-
-
33846042641
-
Continuum relaxation of interacting steps on crystal surfaces in 2+1 dimensions
-
D. MARGETIS and R. V. KOHN, Continuum relaxation of interacting steps on crystal surfaces in 2+1 dimensions, Multiscale Model. Simul., 5 (2006), pp. 729-758.
-
(2006)
Multiscale Model. Simul
, vol.5
, pp. 729-758
-
-
MARGETIS, D.1
KOHN, R.V.2
-
28
-
-
0000455033
-
Morphological equilibration of a corrugated crystalline surface
-
M. OZDEMIR and A. ZANGWILL, Morphological equilibration of a corrugated crystalline surface, Phys. Rev. B, 42 (1990), pp. 5013-5024.
-
(1990)
Phys. Rev. B
, vol.42
, pp. 5013-5024
-
-
OZDEMIR, M.1
ZANGWILL, A.2
-
29
-
-
0000418891
-
-
Nonlinear Partial Differential Equations, Contemp. Math. 238, AMS, Providence, RI
-
D. PENG, S. OSHER, B. MERRIMAN, and H.-K. ZHAO, The geometry of Wulff crystal shapes and its relation with Riemann problems, in Nonlinear Partial Differential Equations, Contemp. Math. 238, AMS, Providence, RI, 1999, pp. 251-303.
-
(1999)
The geometry of Wulff crystal shapes and its relation with Riemann problems
, pp. 251-303
-
-
PENG, D.1
OSHER, S.2
MERRIMAN, B.3
ZHAO, H.-K.4
-
30
-
-
18844399254
-
Statistical mechanics of equilibrium crystal shapes: Interfacial phase diagrams and phase transitions
-
C. ROTTMAN and M. WORTIS, Statistical mechanics of equilibrium crystal shapes: Interfacial phase diagrams and phase transitions, Phys. Rep., 103 (1984), pp. 59-79.
-
(1984)
Phys. Rep
, vol.103
, pp. 59-79
-
-
ROTTMAN, C.1
WORTIS, M.2
-
32
-
-
36749047341
-
Step motion on crystal surfaces
-
R. L. SCHWOEBEL and E. J. SHIPSEY, Step motion on crystal surfaces, J. Appl. Phys., 37 (1966), pp. 3682-3686.
-
(1966)
J. Appl. Phys
, vol.37
, pp. 3682-3686
-
-
SCHWOEBEL, R.L.1
SHIPSEY, E.J.2
-
33
-
-
1842610462
-
Orientation dependence of the stiffness of surface steps: An analysis based on anisotropic elasticity
-
V. B. SHENOY and C. V. CIOBANU, Orientation dependence of the stiffness of surface steps: An analysis based on anisotropic elasticity, Surf. Sci., 554 (2004), pp. 222-232.
-
(2004)
Surf. Sci
, vol.554
, pp. 222-232
-
-
SHENOY, V.B.1
CIOBANU, C.V.2
-
34
-
-
1642633219
-
Evolution of material voids for highly anisotropic surface energy
-
M. SIEGEL, M. J. MIKSIS, and P. W. VOORHEES, Evolution of material voids for highly anisotropic surface energy, J. Mech. Phys. Solids, 52 (2004), pp. 1319-1353.
-
(2004)
J. Mech. Phys. Solids
, vol.52
, pp. 1319-1353
-
-
SIEGEL, M.1
MIKSIS, M.J.2
VOORHEES, P.W.3
-
35
-
-
1842427246
-
Asymptotic solutions for the equilibrium crystal shape with small corner energy regularization
-
B. J. SPENCER, Asymptotic solutions for the equilibrium crystal shape with small corner energy regularization, Phys. Rev. E (3), 69 (2004), 011603.
-
(2004)
Phys. Rev. E
, vol.69
, Issue.3
, pp. 011603
-
-
SPENCER, B.J.1
-
36
-
-
41649109251
-
-
Ph.D. thesis, University of Maryland, College Park, MD
-
T. J. STASEVICH, Modeling the Anisotropy of Step Fluctuations on Surfaces: Theoretical Step Stiffness Confronts Experiment, Ph.D. thesis, University of Maryland, College Park, MD, 2006.
-
(2006)
Modeling the Anisotropy of Step Fluctuations on Surfaces: Theoretical Step Stiffness Confronts Experiment
-
-
STASEVICH, T.J.1
-
37
-
-
41649100133
-
Analytic formulas for the orientation dependence of step stiffness and line tension: Key ingredients for numerical modeling
-
T. J. STASEVICH and T. L. EINSTEIN, Analytic formulas for the orientation dependence of step stiffness and line tension: Key ingredients for numerical modeling, Multiscale Model. Simul., 6 (2007), pp. 90-104.
-
(2007)
Multiscale Model. Simul
, vol.6
, pp. 90-104
-
-
STASEVICH, T.J.1
EINSTEIN, T.L.2
-
38
-
-
14944384517
-
Effects of next-nearest-neighbor interactions on the orientation dependence of step stiffness: Reconciling theory with experiment for Cu
-
T. J. STASEVICH, T. L. EINSTEIN, R. K. P. ZIA, M. GIESEN, H. IBACH, and F. SZALMA, Effects of next-nearest-neighbor interactions on the orientation dependence of step stiffness: Reconciling theory with experiment for Cu(001), Phys. Rev. B, 70 (2004), 245404.
-
(2004)
Phys. Rev. B
, vol.70
, pp. 245404
-
-
STASEVICH, T.J.1
EINSTEIN, T.L.2
ZIA, R.K.P.3
GIESEN, M.4
IBACH, H.5
SZALMA, F.6
-
39
-
-
28244434779
-
Low-temperature orientation dependence of step stiffness on 111 surfaces
-
T. J. STASEVICH, H. GEBREMARIAM, T. L. EINSTEIN, M. GIESEN, C. STEIMER, and H. IBACH, Low-temperature orientation dependence of step stiffness on 111 surfaces, Phys. Rev. B, 71 (2005), 245414.
-
(2005)
Phys. Rev. B
, vol.71
, pp. 245414
-
-
STASEVICH, T.J.1
GEBREMARIAM, H.2
EINSTEIN, T.L.3
GIESEN, M.4
STEIMER, C.5
IBACH, H.6
-
40
-
-
15444376292
-
Fluctuations, line tensions, and correlation times of nanoscale islands on surfaces
-
F. SZALMA, H. GEBREMARIAM, and T. L. EINSTEIN, Fluctuations, line tensions, and correlation times of nanoscale islands on surfaces, Phys. Rev. B, 71 (2005), 035422.
-
(2005)
Phys. Rev. B
, vol.71
, pp. 035422
-
-
SZALMA, F.1
GEBREMARIAM, H.2
EINSTEIN, T.L.3
-
41
-
-
0001617455
-
Step permeability and the relaxation of biperiodic gratings on Si
-
S. TANAKA, N. C. BARTELT, C. C. UMBACH, R. M. TROMP, and J. M. BLAKELY, Step permeability and the relaxation of biperiodic gratings on Si(001), Phys. Rev. Lett., 78 (1997), pp. 3342-3345.
-
(1997)
Phys. Rev. Lett
, vol.78
, pp. 3342-3345
-
-
TANAKA, S.1
BARTELT, N.C.2
UMBACH, C.C.3
TROMP, R.M.4
BLAKELY, J.M.5
-
42
-
-
0001123141
-
Existence and structure of solutions to class of non-elliptic variational problems
-
Academic Press, London
-
J. E. TAYLOR, Existence and structure of solutions to class of non-elliptic variational problems, in Symposia Mathematica 14, Academic Press, London, 1974, pp. 499-508.
-
(1974)
Symposia Mathematica
, vol.14
, pp. 499-508
-
-
TAYLOR, J.E.1
-
43
-
-
4243259960
-
Adatom densities on GaAs: Evidence for near-equilibrium growth
-
J. TERSOFF, M. D. JOHNSON, and B. G. ORR, Adatom densities on GaAs: Evidence for near-equilibrium growth, Phys. Rev. Lett., 78 (1997), pp. 282-285.
-
(1997)
Phys. Rev. Lett
, vol.78
, pp. 282-285
-
-
TERSOFF, J.1
JOHNSON, M.D.2
ORR, B.G.3
-
44
-
-
55149085051
-
Thermodynamics and statistical mechanics of surfaces, in Handbook of Surface Science
-
Structure, W. N. Unertl, ed, Elsevier, The Netherlands
-
E. D. WILLIAMS and N. C. BARTELT, Thermodynamics and statistical mechanics of surfaces, in Handbook of Surface Science, Vol. 1: Physical Structure, W. N. Unertl, ed., Elsevier, The Netherlands, 1996, pp. 51-99.
-
(1996)
Physical
, vol.1
, pp. 51-99
-
-
WILLIAMS, E.D.1
BARTELT, N.C.2
|