Duality in Finite-Dimensional Spin Glasses
Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duali...
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| Autor*in: |
Nishimori, Hidetoshi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2006 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science + Business Media, Inc. 2006 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of statistical physics - Kluwer Academic Publishers-Plenum Publishers, 1969, 126(2006), 4-5 vom: 09. Juli, Seite 977-986 |
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| Übergeordnetes Werk: |
volume:126 ; year:2006 ; number:4-5 ; day:09 ; month:07 ; pages:977-986 |
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| DOI / URN: |
10.1007/s10955-006-9156-1 |
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OLC2046607767 |
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| 520 | |a Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. | ||
| 650 | 4 | |a Ising Model | |
| 650 | 4 | |a Spin Glass | |
| 650 | 4 | |a Duality Relation | |
| 650 | 4 | |a Boltzmann Factor | |
| 650 | 4 | |a Replica Method | |
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10.1007/s10955-006-9156-1 doi (DE-627)OLC2046607767 (DE-He213)s10955-006-9156-1-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Nishimori, Hidetoshi verfasserin aut Duality in Finite-Dimensional Spin Glasses 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media, Inc. 2006 Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. Ising Model Spin Glass Duality Relation Boltzmann Factor Replica Method Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 126(2006), 4-5 vom: 09. Juli, Seite 977-986 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:126 year:2006 number:4-5 day:09 month:07 pages:977-986 https://doi.org/10.1007/s10955-006-9156-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_100 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4305 GBV_ILN_4317 GBV_ILN_4323 33.00 VZ AR 126 2006 4-5 09 07 977-986 |
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10.1007/s10955-006-9156-1 doi (DE-627)OLC2046607767 (DE-He213)s10955-006-9156-1-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Nishimori, Hidetoshi verfasserin aut Duality in Finite-Dimensional Spin Glasses 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media, Inc. 2006 Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. Ising Model Spin Glass Duality Relation Boltzmann Factor Replica Method Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 126(2006), 4-5 vom: 09. Juli, Seite 977-986 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:126 year:2006 number:4-5 day:09 month:07 pages:977-986 https://doi.org/10.1007/s10955-006-9156-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_100 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4305 GBV_ILN_4317 GBV_ILN_4323 33.00 VZ AR 126 2006 4-5 09 07 977-986 |
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10.1007/s10955-006-9156-1 doi (DE-627)OLC2046607767 (DE-He213)s10955-006-9156-1-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Nishimori, Hidetoshi verfasserin aut Duality in Finite-Dimensional Spin Glasses 2006 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science + Business Media, Inc. 2006 Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. Ising Model Spin Glass Duality Relation Boltzmann Factor Replica Method Enthalten in Journal of statistical physics Kluwer Academic Publishers-Plenum Publishers, 1969 126(2006), 4-5 vom: 09. Juli, Seite 977-986 (DE-627)129549711 (DE-600)219136-2 (DE-576)015002918 0022-4715 nnns volume:126 year:2006 number:4-5 day:09 month:07 pages:977-986 https://doi.org/10.1007/s10955-006-9156-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_21 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_100 GBV_ILN_2004 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2192 GBV_ILN_2409 GBV_ILN_4036 GBV_ILN_4116 GBV_ILN_4305 GBV_ILN_4317 GBV_ILN_4323 33.00 VZ AR 126 2006 4-5 09 07 977-986 |
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duality in finite-dimensional spin glasses |
| title_auth |
Duality in Finite-Dimensional Spin Glasses |
| abstract |
Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. © Springer Science + Business Media, Inc. 2006 |
| abstractGer |
Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. © Springer Science + Business Media, Inc. 2006 |
| abstract_unstemmed |
Abstract We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. © Springer Science + Business Media, Inc. 2006 |
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Duality in Finite-Dimensional Spin Glasses |
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