Typical Ground States for Large Sets of Interactions
Autor: | Aernout C. D. van Enter, Jacek Miekisz |
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Přispěvatelé: | Dynamical Systems, Geometry & Mathematical Physics |
Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) 010102 general mathematics Spectrum (functional analysis) FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Dynamical Systems (math.DS) 01 natural sciences 0103 physical sciences FOS: Mathematics 010307 mathematical physics Statistical physics Mathematics - Dynamical Systems 0101 mathematics Condensed Matter - Statistical Mechanics Mathematical Physics Mixing (physics) |
Zdroj: | Journal of Statistical Physics, 181(5), 1906-1914. SPRINGER |
ISSN: | 0022-4715 |
DOI: | 10.1007/s10955-020-02647-4 |
Popis: | We discuss what ground states for generic interactions look like. We note that a recent result, due to Morris, implies that the behaviour of ground-state measures for generic interactions is similar to that of generic measures. In particular, it follows from his observation that they have singular spectrum and that they are weak mixing, but not mixing. Comment: 15 pages, submitted to J. Stat. Phys |
Databáze: | OpenAIRE |
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