Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture
Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satis...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bovier, Anton [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2006 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2006 |
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| Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 263(2006), 2 vom: 23. Feb., Seite 513-533 |
|---|---|
| Übergeordnetes Werk: |
volume:263 ; year:2006 ; number:2 ; day:23 ; month:02 ; pages:513-533 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00220-005-1516-1 |
|---|
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OLC2038888639 |
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| 520 | |a Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. | ||
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10.1007/s00220-005-1516-1 doi (DE-627)OLC2038888639 (DE-He213)s00220-005-1516-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bovier, Anton verfasserin aut Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2006 Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. Quantum Computing Spin System Energy Model Spin Glass Disorder System Kurkova, Irina aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 263(2006), 2 vom: 23. Feb., Seite 513-533 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:263 year:2006 number:2 day:23 month:02 pages:513-533 https://doi.org/10.1007/s00220-005-1516-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 263 2006 2 23 02 513-533 |
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10.1007/s00220-005-1516-1 doi (DE-627)OLC2038888639 (DE-He213)s00220-005-1516-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bovier, Anton verfasserin aut Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2006 Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. Quantum Computing Spin System Energy Model Spin Glass Disorder System Kurkova, Irina aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 263(2006), 2 vom: 23. Feb., Seite 513-533 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:263 year:2006 number:2 day:23 month:02 pages:513-533 https://doi.org/10.1007/s00220-005-1516-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 263 2006 2 23 02 513-533 |
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10.1007/s00220-005-1516-1 doi (DE-627)OLC2038888639 (DE-He213)s00220-005-1516-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bovier, Anton verfasserin aut Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2006 Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. Quantum Computing Spin System Energy Model Spin Glass Disorder System Kurkova, Irina aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 263(2006), 2 vom: 23. Feb., Seite 513-533 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:263 year:2006 number:2 day:23 month:02 pages:513-533 https://doi.org/10.1007/s00220-005-1516-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 263 2006 2 23 02 513-533 |
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10.1007/s00220-005-1516-1 doi (DE-627)OLC2038888639 (DE-He213)s00220-005-1516-1-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bovier, Anton verfasserin aut Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2006 Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. Quantum Computing Spin System Energy Model Spin Glass Disorder System Kurkova, Irina aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 263(2006), 2 vom: 23. Feb., Seite 513-533 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:263 year:2006 number:2 day:23 month:02 pages:513-533 https://doi.org/10.1007/s00220-005-1516-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4116 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 AR 263 2006 2 23 02 513-533 |
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Bovier, Anton Kurkova, Irina |
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10.1007/s00220-005-1516-1 |
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530 510 |
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local energy statistics in disordered systems: a proof of the local rem conjecture |
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Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture |
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Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. © Springer-Verlag Berlin Heidelberg 2006 |
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Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. © Springer-Verlag Berlin Heidelberg 2006 |
| abstract_unstemmed |
Abstract Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should, in most circumstances, be the same as in the random energy model. Here we give necessary conditions for this hypothesis to be true, which we show to be satisfied in wide classes of examples: short range spin glasses and mean field spin glasses of the SK type. We also show that, under certain conditions, the conjecture holds even if energy levels that grow moderately with the volume of the system are considered. © Springer-Verlag Berlin Heidelberg 2006 |
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Local Energy Statistics in Disordered Systems: A Proof of the Local REM Conjecture |
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