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Type: Artigo de evento
Title: The Relative Variational Model: A Topological View Of Matter And Its Properties: Thermal Expansion
Author: Dias M.S.
De Vasconcelos V.
Mattos J.R.L.
Jordao E.
Abstract: Formal definitions of convergence, connectedness and continuity were established to characterize and describe the crystalline solid and its properties as a unified notion in the topological space. The crystalline solid is a previously empty space that has been filled with atoms and phonons, i.e., the crystal is built with packages of matter and energy in a regular and orderly repetitive pattern along three orthogonal dimensions of the space. The spatial occupation of the atom in the crystal structure is determined by its mean vibrational volume. Thus, the changes of volume and the changes of internal energy are intrinsically linked. In fact, physical and material properties are the interdependent and bijective quantifications associated with variations of the internal energy. These properties are modeled by means of an intrinsic and invariable form function: the Relative Variational Model. In this paper, the experimental data of the thermal expansion for the oxides Al2O 3 and UO2 were analytically depicted by means of this model in the temperature range of 0 K up to the melting point.
Rights: fechado
Identifier DOI: 
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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