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| Content Provider | World Health Organization (WHO)-Global Index Medicus |
|---|---|
| Author | Akutsu, Noriko |
| Description | Country affiliation: Japan Author Affiliation: Akutsu N ( Faculty of Engineering, Osaka Electro-Communication University, Hatsu-cho, Neyagawa, Osaka, Japan. nori@phys.osakac.ac.jp) |
| Abstract | The anisotropic surface free energy, Andreev surface free energy and equilibrium crystal shape (ECS) z = z(x,y) are calculated numerically using a transfer matrix approach with the density matrix renormalization group (DMRG) method. The adopted surface model is a restricted solid-on-solid (RSOS) model with 'sticky' steps, i.e. steps with a point-contact-type attraction between them (p-RSOS model). By analyzing the results, we obtain a first-order shape transition on the ECS profile around the (111) facet; and on the curved surface near the (001) facet edge, we obtain shape exponents having values different from those of the universal Gruber-Mullins-Pokrovsky-Talapov (GMPT) class. In order to elucidate the origin of the non-universal shape exponents, we calculate the slope dependence of the mean step height of 'step droplets' (bound states of steps) (n(p)) using the Monte Carlo method, where p = (∂z/∂x,∂z/∂y) and (·) represents the thermal average. Using the result of the |p| dependence of (n(p)), we derive a |p|-expanded expression for the non-universal surface free energy f(eff)(p), which contains quadratic terms with respect to |p|. The first-order shape transition and the non-universal shape exponents obtained by the DMRG calculations are reproduced thermodynamically from the non-universal surface free energy f(eff)(p). |
| ISSN | 09538984 |
| e-ISSN | 1361648X |
| Journal | Journal of Physics: Condensed Matter |
| Issue Number | 48 |
| Volume Number | 23 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2011-12-07 |
| Publisher Place | Great Britain (UK) |
| Access Restriction | Open |
| Subject Keyword | Discipline Condensed Matter Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Condensed Matter Physics Materials Science |
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