| 1. Identity statement | |
| Reference Type | Journal Article |
| Site | mtc-m16.sid.inpe.br |
| Holder Code | isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S |
| Identifier | 6qtX3pFwXQZ3r59YDa/FtLhF |
| Repository | sid.inpe.br/iris@1916/2005/03.17.13.25 (restricted access) |
| Last Update | 2005:06.30.03.00.00 (UTC) administrator |
| Metadata Repository | sid.inpe.br/iris@1916/2005/03.17.13.25.37 |
| Metadata Last Update | 2018:06.05.01.28.19 (UTC) administrator |
| Secondary Key | INPE-12275-PRE/7599 |
| ISSN | 0257-8972 |
| Citation Key | PerondiElli:1993:MoDiSp |
| Title | A model of diffusion in a spatially disordered lattice  |
| Project | MATCON: Física da matéria condensada |
| Year | 1993 |
| Access Date | 2024, Apr. 28 |
| Secondary Type | PRE PI |
| Number of Files | 1 |
| Size | 664 KiB |
| 2. Context | |
| Author | 1 Perondi, Leonel Fernando 2 Elliott, R . J. |
| Resume Identifier | 1 8JMKD3MGP5W/3C9JHLM |
| Group | 1 LAS-INPE-MCT-BR |
| Affiliation | 1 Instituto Nacional de Pesquisas Espaciais, Laboratorio Associado de Sensores e Materiais (INPE.LAS) 2 Department of Theoretical Physiscs |
| Journal | Surface and Coatings Technology |
| Volume | 5 |
| Pages | 6857-6878 |
| History (UTC) | 2005-06-30 18:49:28 :: sergio -> administrator :: 2007-04-03 21:59:26 :: administrator -> sergio :: 2008-01-07 12:49:39 :: sergio -> marciana :: 2008-02-26 19:39:49 :: marciana -> administrator :: 2008-06-10 22:02:51 :: administrator -> banon :: 2010-05-12 14:15:58 :: banon -> administrator :: 2018-06-05 01:28:19 :: administrator -> marciana :: 1993 |
| 3. Content and structure | |
| Is the master or a copy? | is the master |
| Content Stage | completed |
| Transferable | 1 |
| Content Type | External Contribution |
| Keywords | MATERIALS PHYSICS Diffusion Disordered lattice FÍSICA DE MATERIAIS Difusão |
| Abstract | An approximate method for the study of one-particle diffusion in a three-dimensional disordered lattice is proposed. The method is based on the locator expansion of a generalized discrete version of the diffusion equation. Approximations are performed through a convenient interpretation of the resulting equations in terms of known quantities that characterize a discrete-time random walk. The method is applied to a model of a disordered lattice in which allowed sites are randomly distributed in a continuum at a given concentration n and hopping is allowed between sites separated by a distance not greater than a specified fixed value a0. The results are in good agreement with the expected physical situation, showing the existence of two regions in the parameter space (n,a0), one of which is characterized by the existence of normal diffusion and the other by the vanishing of the diffusion constant, with the random walker confined in a cluster of finite size. The two regions are separated by a critical curve, along which the diffusion is shown to be anomalous. The three different regimes are characterized by a single parameter, the average number of nearest neighbours. A connection with percolation theory is made, the formalism yielding values for the exponents gamma and nu . The results gamma =2 and nu =1 are obtained in the 3D case. For dimensions greater than four it is shown that the predicted critical exponents agree with the mean field values gamma =1 and nu =1/2. |
| Area | FISMAT |
| Arrangement | urlib.net > BDMCI > Fonds > Produção anterior à 2021 > LABAS > A model of... |
| doc Directory Content | access |
| source Directory Content | there are no files |
| agreement Directory Content | there are no files |
| 4. Conditions of access and use | |
| Language | en |
| Target File | model diffusion.pdf |
| User Group | administrator banon marciana sergio |
| Visibility | shown |
| Copy Holder | SID/SCD |
| Archiving Policy | denypublisher denyfinaldraft24 |
| Read Permission | deny from all and allow from 150.163 |
| 5. Allied materials | |
| Next Higher Units | 8JMKD3MGPCW/3ESR3H2 |
| Dissemination | WEBSCI; PORTALCAPES. |
| Host Collection | sid.inpe.br/banon/2003/08.15.17.40 |
| 6. Notes | |
| Empty Fields | alternatejournal archivist callnumber copyright creatorhistory descriptionlevel documentstage doi e-mailaddress electronicmailaddress format isbn label lineage mark mirrorrepository month nextedition notes number orcid parameterlist parentrepositories previousedition previouslowerunit progress readergroup rightsholder schedulinginformation secondarydate secondarymark session shorttitle sponsor subject tertiarymark tertiarytype typeofwork url versiontype |
| 7. Description control | |
| e-Mail (login) | marciana |
| update | |