Academic Journal
Variational mean-field study of a continuum model of crystalline tensionless surfaces
| العنوان: | Variational mean-field study of a continuum model of crystalline tensionless surfaces |
|---|---|
| المؤلفون: | Moro, Esteban, Cuerno, Rodolfo |
| بيانات النشر: | The American Physical Society |
| سنة النشر: | 2001 |
| المجموعة: | Universidad Carlos III de Madrid: e-Archivo |
| مصطلحات موضوعية: | [PACS] Dynamic critical phenomena, [PACS] Order-disorder transformations, [PACS] Phase transitions and critical phenomena, [PACS] Theory and models of crystal growth, physics and chemistry of crystal growth, crystal morphology, and orientation, Matemáticas |
| الوصف: | 9 pages, 6 figures.-- PACS nrs.: 64.60.Ht, 64.60.Cn, 68.35.Rh, 81.10.Aj.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/9912013 ; We study analytically the equilibrium and near-equilibrium properties of a model of a d-dimensional surface relaxing via linear surface diffusion and subject to a lattice potential. We employ the variational mean-field formalism introduced by Saito for the study of the sine-Gordon model. In equilibrium, our variational theory predicts a first-order roughening transition between a flat low-temperature phase and a rough high-temperature phase with the properties of the linear molecular-beam epitaxy equation. Moreover, the study of a Gaussian approximation to the Langevin dynamics of the system indicates that the surface shows hysteresis when temperature is continuously tuned. Out of equilibrium, these approximate Langevin dynamics show that the surface mobility can have different behaviors as a function of a driving flux. Some considerations are made regarding different underlying lattices, and connections are drawn to related models or different approaches to the same model we study. ; This work was partially supported by DGES Grant Nos. PB96-0119 and HB1999-0018, and EPSRC Grant No. GR/M04426. ; Publicado |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | text/html |
| اللغة: | English |
| تدمد: | 1539-3755 |
| Relation: | http://dx.doi.org/10.1103/PhysRevE.63.036104; Physical Review E 63, 036104 (2001); http://hdl.handle.net/10016/6942; https://www.doi.org/10.1103/PhysRevE.63.036104 |
| DOI: | 10.1103/PhysRevE.63.036104 |
| الاتاحة: | http://hdl.handle.net/10016/6942 https://doi.org/10.1103/PhysRevE.63.036104 |
| Rights: | © The American Physical Society ; open access |
| رقم الانضمام: | edsbas.B64E311 |
| قاعدة البيانات: | BASE |
| ResultId |
1 |
|---|---|
| Header |
edsbas BASE edsbas.B64E311 829 3 Academic Journal academicJournal 829.354309082031 |
| PLink |
https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsbas&AN=edsbas.B64E311&custid=s6537998&authtype=sso |
| FullText |
Array
(
[Availability] => 0
)
Array ( [0] => Array ( [Url] => http://hdl.handle.net/10016/6942# [Name] => EDS - BASE [Category] => fullText [Text] => View record in BASE [MouseOverText] => View record in BASE ) ) |
| Items |
Array
(
[Name] => Title
[Label] => Title
[Group] => Ti
[Data] => Variational mean-field study of a continuum model of crystalline tensionless surfaces
)
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Moro%2C+Esteban%22">Moro, Esteban</searchLink><br /><searchLink fieldCode="AR" term="%22Cuerno%2C+Rodolfo%22">Cuerno, Rodolfo</searchLink> ) Array ( [Name] => Publisher [Label] => Publisher Information [Group] => PubInfo [Data] => The American Physical Society ) Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2001 ) Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => Universidad Carlos III de Madrid: e-Archivo ) Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22[PACS]+Dynamic+critical+phenomena%22">[PACS] Dynamic critical phenomena</searchLink><br /><searchLink fieldCode="DE" term="%22[PACS]+Order-disorder+transformations%22">[PACS] Order-disorder transformations</searchLink><br /><searchLink fieldCode="DE" term="%22[PACS]+Phase+transitions+and+critical+phenomena%22">[PACS] Phase transitions and critical phenomena</searchLink><br /><searchLink fieldCode="DE" term="%22[PACS]+Theory+and+models+of+crystal+growth%22">[PACS] Theory and models of crystal growth</searchLink><br /><searchLink fieldCode="DE" term="%22physics+and+chemistry+of+crystal+growth%22">physics and chemistry of crystal growth</searchLink><br /><searchLink fieldCode="DE" term="%22crystal+morphology%22">crystal morphology</searchLink><br /><searchLink fieldCode="DE" term="%22and+orientation%22">and orientation</searchLink><br /><searchLink fieldCode="DE" term="%22Matemáticas%22">Matemáticas</searchLink> ) Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => 9 pages, 6 figures.-- PACS nrs.: 64.60.Ht, 64.60.Cn, 68.35.Rh, 81.10.Aj.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/9912013 ; We study analytically the equilibrium and near-equilibrium properties of a model of a d-dimensional surface relaxing via linear surface diffusion and subject to a lattice potential. We employ the variational mean-field formalism introduced by Saito for the study of the sine-Gordon model. In equilibrium, our variational theory predicts a first-order roughening transition between a flat low-temperature phase and a rough high-temperature phase with the properties of the linear molecular-beam epitaxy equation. Moreover, the study of a Gaussian approximation to the Langevin dynamics of the system indicates that the surface shows hysteresis when temperature is continuously tuned. Out of equilibrium, these approximate Langevin dynamics show that the surface mobility can have different behaviors as a function of a driving flux. Some considerations are made regarding different underlying lattices, and connections are drawn to related models or different approaches to the same model we study. ; This work was partially supported by DGES Grant Nos. PB96-0119 and HB1999-0018, and EPSRC Grant No. GR/M04426. ; Publicado ) Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => article in journal/newspaper ) Array ( [Name] => Format [Label] => File Description [Group] => SrcInfo [Data] => text/html ) Array ( [Name] => Language [Label] => Language [Group] => Lang [Data] => English ) Array ( [Name] => ISSN [Label] => ISSN [Group] => ISSN [Data] => 1539-3755 ) Array ( [Name] => NoteTitleSource [Label] => Relation [Group] => SrcInfo [Data] => http://dx.doi.org/10.1103/PhysRevE.63.036104; Physical Review E 63, 036104 (2001); http://hdl.handle.net/10016/6942; https://www.doi.org/10.1103/PhysRevE.63.036104 ) Array ( [Name] => DOI [Label] => DOI [Group] => ID [Data] => 10.1103/PhysRevE.63.036104 ) Array ( [Name] => URL [Label] => Availability [Group] => URL [Data] => http://hdl.handle.net/10016/6942<br />https://doi.org/10.1103/PhysRevE.63.036104 ) Array ( [Name] => Copyright [Label] => Rights [Group] => Cpyrght [Data] => © The American Physical Society ; open access ) Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsbas.B64E311 ) |
| RecordInfo |
Array
(
[BibEntity] => Array
(
[Identifiers] => Array
(
[0] => Array
(
[Type] => doi
[Value] => 10.1103/PhysRevE.63.036104
)
)
[Languages] => Array
(
[0] => Array
(
[Text] => English
)
)
[Subjects] => Array
(
[0] => Array
(
[SubjectFull] => [PACS] Dynamic critical phenomena
[Type] => general
)
[1] => Array
(
[SubjectFull] => [PACS] Order-disorder transformations
[Type] => general
)
[2] => Array
(
[SubjectFull] => [PACS] Phase transitions and critical phenomena
[Type] => general
)
[3] => Array
(
[SubjectFull] => [PACS] Theory and models of crystal growth
[Type] => general
)
[4] => Array
(
[SubjectFull] => physics and chemistry of crystal growth
[Type] => general
)
[5] => Array
(
[SubjectFull] => crystal morphology
[Type] => general
)
[6] => Array
(
[SubjectFull] => and orientation
[Type] => general
)
[7] => Array
(
[SubjectFull] => Matemáticas
[Type] => general
)
)
[Titles] => Array
(
[0] => Array
(
[TitleFull] => Variational mean-field study of a continuum model of crystalline tensionless surfaces
[Type] => main
)
)
)
[BibRelationships] => Array
(
[HasContributorRelationships] => Array
(
[0] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Moro, Esteban
)
)
)
[1] => Array
(
[PersonEntity] => Array
(
[Name] => Array
(
[NameFull] => Cuerno, Rodolfo
)
)
)
)
[IsPartOfRelationships] => Array
(
[0] => Array
(
[BibEntity] => Array
(
[Dates] => Array
(
[0] => Array
(
[D] => 01
[M] => 01
[Type] => published
[Y] => 2001
)
)
[Identifiers] => Array
(
[0] => Array
(
[Type] => issn-print
[Value] => 15393755
)
[1] => Array
(
[Type] => issn-locals
[Value] => edsbas
)
[2] => Array
(
[Type] => issn-locals
[Value] => edsbas.oa
)
)
)
)
)
)
)
|
| IllustrationInfo |