scholarly journals Dynamics of Infinite Classical Anharmonic Crystals

2016 ◽  
Vol 164 (3) ◽  
pp. 680-692 ◽  
Author(s):  
Paolo Buttà ◽  
Carlo Marchioro
Keyword(s):  
Anharmonic Crystals

scholarly journals PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS

2008 ◽  
Vol 20 (05) ◽  
pp. 529-595 ◽  
Author(s):  
ALINA KARGOL ◽  
YURI KONDRATIEV ◽  
YURI KOZITSKY
Keyword(s):  
Phase Transitions ◽  
Gibbs Measures ◽  
Quantum Effects ◽  
Gibbs States ◽  
Translation Invariance ◽  
Unified Theory ◽  
The Relationship ◽  
Anharmonic Crystals

A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs states in terms of path measures (Euclidean Gibbs measures). It covers the case of crystals without translation invariance, as well as the case of asymmetric anharmonic potentials. The results obtained are compared with those known in the literature.

Polariton in Anharmonic Crystals

1969 ◽  
Vol 27 (4) ◽  
pp. 901-906 ◽  
Author(s):  
Kazuo Ohtaka ◽  
Takeo Fujiwara
Keyword(s):  
Anharmonic Crystals

Elastic constants of nonionic anharmonic crystals

1968 ◽  
Vol 217 (2) ◽  
pp. 170-187 ◽  
Author(s):  
W. Götze ◽  
K. H. Michel
Keyword(s):  
Elastic Constants ◽  
Anharmonic Crystals
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