 9170 Miekisz J.
 The Global Minimum of Energy Is Not Always a Sum of Local Minima  a Note
on Frustration
(18K, Latex)
Dec 3, 91

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Abstract. A classical lattice gas model with translationinvariant finite
range competing interactions, for which there does not exist an equivalent
translationinvariant finite range nonfrustrated potential, is constructed.
The
construction uses the structure of nonperiodic ground state configurations
of
the model. In fact, the model does not have any periodic ground state
configurations. However, its ground state  a translationinvariant
probability
measure supported by ground state configurations  is unique.
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