Computers and group-theoretical methods for studying structural phase transitions

DOI10.1016/0898-1221(89)90162-4zbMath0715.20003OpenAlexW2035772904MaRDI QIDQ752173

G. M. Chechin

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90162-4

zbMATH Keywords

irreducible representationsstationary vectorsspace groupscontinuous structural phase transitions in crystalsgroup theoretical computer programsLandau's theory

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Other geometric groups, including crystallographic groups (20H15) Software, source code, etc. for problems pertaining to group theory (20-04) Applications of group representations to physics and other areas of science (20C35) Applications of linear algebraic groups to the sciences (20G45)

Related Items

DISCRETE SYMMETRY AND STABILITY IN HAMILTONIAN DYNAMICS, Relation between multidimensional representations of the Fedorov groups and the groups of color symmetry, Interactions between normal modes in nonlinear dynamical systems with discrete symmetry. Exact results, Delocalized nonlinear vibrational modes in fcc metals, Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains, Atomic order in the spinel structure – a group-theoretical analysis, Bushes of vibrational modes for Fermi-Pasta-Ulam chains

Uses Software

• ISOTROPY

Cites Work

• Relation between multidimensional representations of the Fedorov groups and the groups of color symmetry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item