On the Continuous Mechanics First and Second-Order Formulations for Nonequilibrium Nucleation: Derivation and Applications
Nucleation and growth are phenomena that can be applied to several fields of science and technology. On the other hand, nucleation depends on the cooling rate, dislocating the equilibrium, as surface energy depends on the created and deformed surface area. The crystalline/glassy transition limit dep...
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Veröffentlicht in: | International journal of thermophysics 2023-05, Vol.44 (5), Article 72 |
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description | Nucleation and growth are phenomena that can be applied to several fields of science and technology. On the other hand, nucleation depends on the cooling rate, dislocating the equilibrium, as surface energy depends on the created and deformed surface area. The crystalline/glassy transition limit dependence on the thermal gradient is also analyzed. In this paper, under continuum mechanics, first and second-order nonequilibrium nucleation formulation models are derived, and a phase-change moving interface is considered in the thermal field. Important nucleation variables are plotted against the cooling rate for several nucleation angles. It is coupled with a theoretical model for the molar-specific heat capacity of solids to analyse its dependence on nucleation kinetics. |
doi_str_mv | 10.1007/s10765-023-03178-2 |
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L.</creatorcontrib><creatorcontrib>Moreira, A. L. S.</creatorcontrib><title>On the Continuous Mechanics First and Second-Order Formulations for Nonequilibrium Nucleation: Derivation and Applications</title><title>International journal of thermophysics</title><addtitle>Int J Thermophys</addtitle><description>Nucleation and growth are phenomena that can be applied to several fields of science and technology. On the other hand, nucleation depends on the cooling rate, dislocating the equilibrium, as surface energy depends on the created and deformed surface area. The crystalline/glassy transition limit dependence on the thermal gradient is also analyzed. In this paper, under continuum mechanics, first and second-order nonequilibrium nucleation formulation models are derived, and a phase-change moving interface is considered in the thermal field. Important nucleation variables are plotted against the cooling rate for several nucleation angles. It is coupled with a theoretical model for the molar-specific heat capacity of solids to analyse its dependence on nucleation kinetics.</description><subject>Classical Mechanics</subject><subject>Condensed Matter Physics</subject><subject>Continuum mechanics</subject><subject>Cooling rate</subject><subject>Geophysics</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Nucleation</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Surface energy</subject><subject>Temperature gradients</subject><subject>Thermodynamics</subject><issn>0195-928X</issn><issn>1572-9567</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kEFPwyAYhonRxDn9A55IPKMURgFvy3RqMreDmngjlFLH0sEGrYn-ervWxJsnvoT3eb98DwCXGb7OMOY3KcM8ZwgTijDNuEDkCIwyxgmSLOfHYIQzyZAk4v0UnKW0wRhLLukIfK88bNYWzoJvnG9Dm-CzNWvtnUlw7mJqoPYlfLEm-BKtYmkjnIe4bWvduOATrEKEy-DtvnW1K6Jrt3DZmtr237fwzkb32c99z3S3q50Z0HNwUuk62Yvfdwze5vevs0e0WD08zaYLZGhOG5TjyjDBDwdwU3Epi4kUlc21KYwtWEEJ05yzkhtdsaLEGltbmFIUBgssqKFjcDX07mLYtzY1ahPa6LuVinCZ5RPByaRLkSFlYkgp2krtotvq-KUyrA6O1eBYdY5V71iRDqIDlLqw_7Dxr_of6gfWOIJA</recordid><startdate>20230501</startdate><enddate>20230501</enddate><creator>Ferreira, I. 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S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-60fc58701957cf799b498fe6acbceb5b325a775d7caf5bd0a0eebcd8bc08083c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Classical Mechanics</topic><topic>Condensed Matter Physics</topic><topic>Continuum mechanics</topic><topic>Cooling rate</topic><topic>Geophysics</topic><topic>Industrial Chemistry/Chemical Engineering</topic><topic>Nucleation</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Surface energy</topic><topic>Temperature gradients</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ferreira, I. L.</creatorcontrib><creatorcontrib>Moreira, A. L. 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subjects | Classical Mechanics Condensed Matter Physics Continuum mechanics Cooling rate Geophysics Industrial Chemistry/Chemical Engineering Nucleation Physical Chemistry Physics Physics and Astronomy Surface energy Temperature gradients Thermodynamics |
title | On the Continuous Mechanics First and Second-Order Formulations for Nonequilibrium Nucleation: Derivation and Applications |
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