Unusual ground states via monotonic convex pair potentials

Journal of Chemical Physics

Volumn 134, Issue 16, 2011, Pages

  Marcotte, E ^a   Stillinger, F H ^a   Torquato, S ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BELONG TO; CRYSTAL CONFIGURATION; DEFECT ENERGY; ENCODING INFORMATIONS; EUCLIDEAN SPACES; LIQUID STATE; MULTIPLE EXTREMA; NUMBER DENSITY; PAIR INTERACTIONS; PAIR POTENTIAL; PHONON SPECTRUM; SELF-ASSEMBLE; ZERO TEMPERATURES;

DEFECT DENSITY; HONEYCOMB STRUCTURES; LINEAR PROGRAMMING; OPTIMIZATION;

GROUND STATE;

EID: 79955676896     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3576141     Document Type: Article

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23. Of course, rigorously proving that a given configuration is a true ground state is highly nontrivial, so we must accept the results from carefully designed numerical methods.
24. Unlike Ref. which attempts to find minimum free-energy configurations at positive temperatures, Ref. bases its claims only on lattice sums for a limited number of possible crystal configurations.