Quasicrystal Ising chain and automata theory

Journal Article · Sat Mar 01 00:00:00 EST 1986 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01010446· OSTI ID:7128258

Allouche, J P; France, M M

An automatic sequence is generated by a finite machine (automaton). These sequences can be periodic or not; in the latter case, however, they are not random, but rather ''quasicrystalline.'' The authors consider an Ising chain with variable interaction in a uniform external field, at zero temperature, and prove that, if this interaction is automatic, then the induced magnetic field is also automatic.

• Research Organization: UER de Math et d'Info, Dordeaux
• OSTI ID: 7128258
• Journal Information: J. Stat. Phys.; (United States), Vol. 42:5-6
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ISING MODEL
MAGNETIC FIELDS
STATISTICAL MECHANICS
CRYSTAL LATTICES
HAMILTONIANS
INTERACTIONS
MAGNETIZATION
ORDER-DISORDER TRANSFORMATIONS
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
RECURSION RELATIONS
ULTRALOW TEMPERATURE
CRYSTAL MODELS
CRYSTAL STRUCTURE
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PHASE TRANSFORMATIONS
QUANTUM OPERATORS
656000* - Condensed Matter Physics