Dynamics of some constrained lattices

Physical Review Letters

Volumn 86, Issue 9, 2001, Pages 1781-1784

  Simon, M E ^a   Varma, C M ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; DYNAMICS; KINETIC ENERGY; MATHEMATICAL MODELS; POTENTIAL ENERGY; TEMPERATURE;

CONSTRAINED LATTICES; FREE PARTICLE LIKE INTERNAL ROTATIONAL MODE; SHEAR VELOCITY;

CRYSTAL LATTICES;

EID: 0035250035     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1781     Document Type: Article

References (17)

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9. A model in which all (rigid) squares are fourfold connected has only 1 degree of freedom for the entire solid.
10. The conventional wisdom that a harmonic solid has no thermal expansion or contraction is circumvented in our model by the constraints which in effect enforce the effects of anharmonicity. In a theory obeying the constraints for some degrees of freedom, a harmonic theory for the remaining degrees of freedom gives thermal expansion or contraction.
11. Models in which rigid rotation of polyhedra is invoked to obtain thermal contraction have been considered before [10]. The mathematical implementation of the idea is done, however, in models of the type mentioned in footnote (7) by splitting the corner atoms into two, which misses the new features of the problem.
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