Spin diffusion on a lattice: Classical simulations and spin coherent states
The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required...
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E-Artikel |
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| Erschienen: |
1995 |
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Online-Ressource 13 |
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| Reproduktion: |
APS Digital Backfile Archive 1893-2003 |
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| Übergeordnetes Werk: |
Enthalten in: Physical review / B - College Park, Md. : APS, 1970, 52(1995), 9, Seite 6467-6479 |
| Übergeordnetes Werk: |
volume:52 ; year:1995 ; number:9 ; pages:6467-6479 ; extent:13 |
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| 520 | |a The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. | ||
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(DE-627)NLEJ249047950 (DE-601)aps:93e59adc93863b4e47c5df613a9f738d86793d4d DE-627 ger DE-627 rakwb Spin diffusion on a lattice: Classical simulations and spin coherent states 1995 Online-Ressource 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. APS Digital Backfile Archive 1893-2003 Sodickson, Daniel K. oth Waugh, John S. oth Enthalten in Physical review / B College Park, Md. : APS, 1970 52(1995), 9, Seite 6467-6479 Online-Ressource (DE-627)NLEJ248237845 (DE-600)1473011-X 1550-235X nnns volume:52 year:1995 number:9 pages:6467-6479 extent:13 https://www.tib.eu/de/suchen/id/aps%3A93e59adc93863b4e47c5df613a9f738d86793d4d Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 52 1995 9 6467-6479 13 |
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(DE-627)NLEJ249047950 (DE-601)aps:93e59adc93863b4e47c5df613a9f738d86793d4d DE-627 ger DE-627 rakwb Spin diffusion on a lattice: Classical simulations and spin coherent states 1995 Online-Ressource 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. APS Digital Backfile Archive 1893-2003 Sodickson, Daniel K. oth Waugh, John S. oth Enthalten in Physical review / B College Park, Md. : APS, 1970 52(1995), 9, Seite 6467-6479 Online-Ressource (DE-627)NLEJ248237845 (DE-600)1473011-X 1550-235X nnns volume:52 year:1995 number:9 pages:6467-6479 extent:13 https://www.tib.eu/de/suchen/id/aps%3A93e59adc93863b4e47c5df613a9f738d86793d4d Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 52 1995 9 6467-6479 13 |
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(DE-627)NLEJ249047950 (DE-601)aps:93e59adc93863b4e47c5df613a9f738d86793d4d DE-627 ger DE-627 rakwb Spin diffusion on a lattice: Classical simulations and spin coherent states 1995 Online-Ressource 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. APS Digital Backfile Archive 1893-2003 Sodickson, Daniel K. oth Waugh, John S. oth Enthalten in Physical review / B College Park, Md. : APS, 1970 52(1995), 9, Seite 6467-6479 Online-Ressource (DE-627)NLEJ248237845 (DE-600)1473011-X 1550-235X nnns volume:52 year:1995 number:9 pages:6467-6479 extent:13 https://www.tib.eu/de/suchen/id/aps%3A93e59adc93863b4e47c5df613a9f738d86793d4d Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 52 1995 9 6467-6479 13 |
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(DE-627)NLEJ249047950 (DE-601)aps:93e59adc93863b4e47c5df613a9f738d86793d4d DE-627 ger DE-627 rakwb Spin diffusion on a lattice: Classical simulations and spin coherent states 1995 Online-Ressource 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. APS Digital Backfile Archive 1893-2003 Sodickson, Daniel K. oth Waugh, John S. oth Enthalten in Physical review / B College Park, Md. : APS, 1970 52(1995), 9, Seite 6467-6479 Online-Ressource (DE-627)NLEJ248237845 (DE-600)1473011-X 1550-235X nnns volume:52 year:1995 number:9 pages:6467-6479 extent:13 https://www.tib.eu/de/suchen/id/aps%3A93e59adc93863b4e47c5df613a9f738d86793d4d Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 52 1995 9 6467-6479 13 |
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(DE-627)NLEJ249047950 (DE-601)aps:93e59adc93863b4e47c5df613a9f738d86793d4d DE-627 ger DE-627 rakwb Spin diffusion on a lattice: Classical simulations and spin coherent states 1995 Online-Ressource 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. APS Digital Backfile Archive 1893-2003 Sodickson, Daniel K. oth Waugh, John S. oth Enthalten in Physical review / B College Park, Md. : APS, 1970 52(1995), 9, Seite 6467-6479 Online-Ressource (DE-627)NLEJ248237845 (DE-600)1473011-X 1550-235X nnns volume:52 year:1995 number:9 pages:6467-6479 extent:13 https://www.tib.eu/de/suchen/id/aps%3A93e59adc93863b4e47c5df613a9f738d86793d4d Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 52 1995 9 6467-6479 13 |
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The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. |
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The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. |
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The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">NLEJ249047950</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20231114100828.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">231114s1995 xx |||||o 00| ||und c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ249047950</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-601)aps:93e59adc93863b4e47c5df613a9f738d86793d4d</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spin diffusion on a lattice: Classical simulations and spin coherent states</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">13</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The results of computational studies of classical spin diffusion on a lattice are presented, and the validity of these results in the quantum regime is explored using a general theoretical framework. First, classical simulations of spin diffusion are used to identify conservation principles required for adherence to a traditional diffusion equation. The breakdown of diffusive behavior for magnetization in zero applied field is tied to nonconservation of spin angular momentum by the dipole-dipole interaction. The effects of dilution upon the spin diffusion constant are also studied for lattices of various dimensionalities. At low concentrations and low dimensionality, the results are suggestive of percolation. Next, with considerations of spin diffusion serving as a model, classical spin dynamics on a lattice are linked to quantum dynamics using the interpolating properties of spin coherent states. For systems with initial disturbances characterized by slow spatial variation, and in the limit of high temperature and large particle number, and a full quantum treatment of the spin diffusion problem is shown to reduce to the classical paradigm used in numerical simulations. The equivalence of quantum and classical behaviors under these conditions is shown to result from the cancellation of quantum interference terms in the coherent-state representations of expectation values.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">APS Digital Backfile Archive 1893-2003</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sodickson, Daniel K.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Waugh, John S.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Physical review / B</subfield><subfield code="d">College Park, Md. : APS, 1970</subfield><subfield code="g">52(1995), 9, Seite 6467-6479</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)NLEJ248237845</subfield><subfield code="w">(DE-600)1473011-X</subfield><subfield code="x">1550-235X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:52</subfield><subfield code="g">year:1995</subfield><subfield code="g">number:9</subfield><subfield code="g">pages:6467-6479</subfield><subfield code="g">extent:13</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.tib.eu/de/suchen/id/aps%3A93e59adc93863b4e47c5df613a9f738d86793d4d</subfield><subfield code="x">Verlag</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-APS</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">52</subfield><subfield code="j">1995</subfield><subfield code="e">9</subfield><subfield code="h">6467-6479</subfield><subfield code="g">13</subfield></datafield></record></collection>
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7.40075 |