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Hamiltonian dynamics of the landau model of ferroelectric liquid crystals (II)
Author(s) -
Pitanga P.,
Filho A. Ribeiro,
Mundim K. C.
Publication year - 1994
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221830107
Subject(s) - ferroelectricity , phase transition , integrable system , hamiltonian (control theory) , condensed matter physics , liquid crystal , chaotic , landau theory , physics , materials science , mathematical physics , quantum mechanics , mathematics , mathematical optimization , dielectric , artificial intelligence , computer science
Ferroelectric liquid crystals are presented as a simple non‐integrable Hamiltonian system. The smectic A‐smectic C * phase transition undergoes a Hopf bifurcation. The Poincaré sections of the solutions in the smectic C * phase shows the existence of spatially chaotic behavior of the molecular structure depending on temperature and external magnetic field. The smectic C‐smectic C * phase transition is also studied as second‐order derivative Hamiltonian theory.