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Phase diagram of power law and Lennard-Jones systems: Crystal phases

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4898371· OSTI ID:22310761
 [1]
  1. Department of Physics and Astronomy and Ames Lab, Iowa State University Ames, Ames, Iowa 50011 (United States)

An extensive characterization of the low temperature phase diagram of particles interacting with power law or Lennard-Jones potentials is provided from Lattice Dynamical Theory. For power law systems, only two lattice structures are stable for certain values of the exponent (or softness) (A15, body centered cube (bcc)) and two more (face centered cubic (fcc), hexagonal close packed (hcp)) are always stable. Among them, only the fcc and bcc are equilibrium states. For Lennard-Jones systems, the equilibrium states are either hcp or fcc, with a coexistence curve in pressure and temperature that shows reentrant behavior. The hcp solid never coexists with the liquid. In all cases analyzed, for both power law and Lennard-Jones potentials, the fcc crystal has higher entropy than the hcp. The role of anharmonic terms is thoroughly analyzed and a general thermodynamic integration to account for them is proposed.

OSTI ID:
22310761
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 16 Vol. 141; ISSN JCPSA6; ISSN 0021-9606
Country of Publication:
United States
Language:
English

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