Physics
Scientific paper
Nov 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jsp....21..497s&link_type=abstract
Journal of Statistical Physics, Volume 21, Issue 5, pp.497-516
Physics
10
Commensurability Transition, Pinning Of Incommensurate Systems, One-Dimensional Charge Density Waves, Superionic Conductors, Mercury Chain Compounds
Scientific paper
The theory of commensurability transitions in one-dimensional atomic chains has been applied to charge density waves, mercury chain compounds, superionic conductors, etc. Previous numerical and analytical results on a model with chains of atoms with nearest neighbor interactions and periodic external potentials have dealt mainly with equilibrium and dynamical properties at T = 0 K. These studies are extended to nonzero temperatures. It is found that the reversible work per particle to slide the chain vanishes in the thermodynamic limit for any nonzero temperature. The mathematical pathologies associated with the commensurability transition at T= 0 (i.e., the “devil's stair”) are absent at finite temperature; only thermodynamic evidence of low-order Commensurability transitions remains.
Sacco J. E.
Sokoloff J. B.
Widom Allan
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