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On the Dielectric‐Metal Transition in Hydrogen
Author(s) -
Franck S.
Publication year - 1980
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19804920505
Subject(s) - ising model , physics , metallic hydrogen , dielectric , hamiltonian (control theory) , phase transition , condensed matter physics , jump , transverse plane , dielectric response , hydrogen , quantum mechanics , mathematics , mathematical optimization , structural engineering , engineering
A microscopic model for describing the dielectric‐metal transition in hydrogen is derived with the help of methods of statistical mechanics. The Hamiltonian corresponds formally to the so‐called transverse Ising model. Taking from literature numerical values for certain parameters one may calculate the critical temperature T c above which any jump‐like change at the phase transition vanishes. T c should be in the range of 6…9 · 10 3 K which has consequences for the internal structure of the giant planets Jupiter and Saturn.