Jacek Miekisz — The Global Minimum of Energy Is Not Always a Sum of Local Minima--A Note on Frustration
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Название: The Global Minimum of Energy Is Not Always a Sum of Local Minima--A Note on Frustration
Автор: Jacek Miekisz
Аннотация:
A classical lattice gas model with translation-invariant, finite-range competing
interactions, for which there does not exist an equivalent translation-invariant,
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 translation-invariant probability measure supported by
ground-state configurations — is unique.
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