Application of catastrophe theory to nuclear structure

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Description

Three two-parameter models, one describing an A-body system (the atomic nucleus) and two describing many-body systems (the van der Waals gas and the ferroelectric (perovskite) system) are compared within the framework of catastrophe theory. It is shown that each has a critical point (second-order phase transition) when the two counteracting forces controlling it are in balance; further, each undergoes a first-order phase transition when one of the forces vanishes (the deforming force for the nucleus, the attractive force for the van der Waals gas, and the dielectric constant for the perovskite). Finally, when both parameters are kept constant, a kind ... continued below

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Pages: 25

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Scharff-Goldhaber, G. & Dresden, M. January 1, 1979.

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Description

Three two-parameter models, one describing an A-body system (the atomic nucleus) and two describing many-body systems (the van der Waals gas and the ferroelectric (perovskite) system) are compared within the framework of catastrophe theory. It is shown that each has a critical point (second-order phase transition) when the two counteracting forces controlling it are in balance; further, each undergoes a first-order phase transition when one of the forces vanishes (the deforming force for the nucleus, the attractive force for the van der Waals gas, and the dielectric constant for the perovskite). Finally, when both parameters are kept constant, a kind of phase transition may occur at a critical angular momentum, critical pressure, and critical electric field. 3 figures, 1 table.

Physical Description

Pages: 25

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Dep. NTIS, PC A02/MF A01.

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  • Report No.: BNL-27077
  • Grant Number: EY-76-C-02-0016
  • DOI: 10.2172/5727060 | External Link
  • Office of Scientific & Technical Information Report Number: 5727060
  • Archival Resource Key: ark:/67531/metadc1092462

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • January 1, 1979

Added to The UNT Digital Library

  • Feb. 10, 2018, 10:06 p.m.

Description Last Updated

  • Feb. 20, 2018, 7:53 p.m.

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Scharff-Goldhaber, G. & Dresden, M. Application of catastrophe theory to nuclear structure, report, January 1, 1979; United States. (digital.library.unt.edu/ark:/67531/metadc1092462/: accessed October 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.