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Temporal evolution of the domain structure in a Poisson-Voronoi nucleation and growth transformation. Results for one and three dimensions
dc.contributor.author | Pineda Soler, Eloi |
dc.contributor.author | Crespo Artiaga, Daniel |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física Aplicada |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear |
dc.date.accessioned | 2008-07-22T11:04:49Z |
dc.date.available | 2008-07-22T11:04:49Z |
dc.date.issued | 2008 |
dc.identifier.uri | http://hdl.handle.net/2117/2172 |
dc.description.abstract | The distribution of spatial domain structures originated during one and three dimensional Poisson-Voronoi transformations are computed analytically extending the recently obtained re- sults for the two dimensional case. The presented method gives a full description of the developed microstructure and is valid for tessellations of any dimensionality. The temporal and spatial depen- dences of the domain structure are completely discriminated and separated, showing the existence of geometric configurations independent of time. A single computation of the probability distribution of these geometric configurations allows us to calculate the total free-boundary and size probabil- ity distributions at any desired time. The obtained results show full agreement with stochastic simulations and reproduce completely the previously existing partial results. A discussion about the potential applications of the method to the calculation of other geometrical properties and the characteristics of the final static structure leading to a gamma distribution of sizes is also presented. |
dc.format.extent | 40 pàg |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Enginyeria dels materials |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Phase transformations (Statistical physics) |
dc.subject.lcsh | Microstructure |
dc.subject.lcsh | Stochastic processes. |
dc.subject.other | Probability theory, stochastic processes, and statistics |
dc.subject.other | Phase transitions: general studies |
dc.subject.other | Phase diagrams and microstructures developed by solidification and solid-solid phase transformations |
dc.title | Temporal evolution of the domain structure in a Poisson-Voronoi nucleation and growth transformation. Results for one and three dimensions |
dc.type | Article |
dc.subject.lemac | Processos estocàstics |
dc.subject.lemac | Transformacions de fase (Física estadística) |
dc.contributor.group | Universitat Politècnica de Catalunya. GCM - Grup de Caracterització de Materials |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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