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Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction


Halasz, Ivan; Dinnebier, Robert E.
Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction // Materials science forum, 651 (2010), 71-77 doi:10.4028/www.scientific.net/MSF.651.71 (međunarodna recenzija, članak, znanstveni)


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Naslov
Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction

Autori
Halasz, Ivan ; Dinnebier, Robert E.

Izvornik
Materials science forum (0255-5476) 651 (2010); 71-77

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
global optimization ; simulated annealing ; high-pressure ; equation of state

Sažetak
A simulated annealing like optimization method has been successfully applied for the determination of global minimum of equation of state (EoS) parameters. The approach is tested using the program TOPAS on a high precision variable pressure data set of quartz [R.J. Angel, D.R. Allan, R. Miletich, L.W. Finger: J. Appl. Cryst. Vol 30 (1997) p. 461] It is evidenced that leastsquares refinement finds the global minimum for all EoS except for the Birch-Murnaghan EoS of fourth order for which it is shown that a clearly distinguished global minimum does not exist, at least for the used data set. The method presented herein serves as a fast test for the global minimum verification for the EoS parameters but should be applicable also to other optimisation problems.

Izvorni jezik
Engleski

Znanstvena područja
Kemija



POVEZANOST RADA


Profili:

Avatar Url Ivan Halasz (autor)

Poveznice na cjeloviti tekst rada:

doi www.scientific.net

Citiraj ovu publikaciju:

Halasz, Ivan; Dinnebier, Robert E.
Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction // Materials science forum, 651 (2010), 71-77 doi:10.4028/www.scientific.net/MSF.651.71 (međunarodna recenzija, članak, znanstveni)
Halasz, I. & Dinnebier, R. (2010) Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction. Materials science forum, 651, 71-77 doi:10.4028/www.scientific.net/MSF.651.71.
@article{article, author = {Halasz, Ivan and Dinnebier, Robert E.}, year = {2010}, pages = {71-77}, DOI = {10.4028/www.scientific.net/MSF.651.71}, keywords = {global optimization, simulated annealing, high-pressure, equation of state}, journal = {Materials science forum}, doi = {10.4028/www.scientific.net/MSF.651.71}, volume = {651}, issn = {0255-5476}, title = {Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction}, keyword = {global optimization, simulated annealing, high-pressure, equation of state} }
@article{article, author = {Halasz, Ivan and Dinnebier, Robert E.}, year = {2010}, pages = {71-77}, DOI = {10.4028/www.scientific.net/MSF.651.71}, keywords = {global optimization, simulated annealing, high-pressure, equation of state}, journal = {Materials science forum}, doi = {10.4028/www.scientific.net/MSF.651.71}, volume = {651}, issn = {0255-5476}, title = {Simulated annealing approach for global minimum verification in modeling of pressure-volume dependence by equations of state obtained by high-pressure diffraction}, keyword = {global optimization, simulated annealing, high-pressure, equation of state} }

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