Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field

Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin...
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Autor*in:	Bishop, A. R. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1981

Schlagwörter:	Soliton Correlation Function Response Function Dynamical Response External Magnetic Field

Anmerkung:	© Springer-Verlag 1981

Übergeordnetes Werk:	Enthalten in: Zeitschrift für Physik - Springer-Verlag, 1975, 44(1981), 3 vom: Sept., Seite 185-191
Übergeordnetes Werk:	volume:44 ; year:1981 ; number:3 ; month:09 ; pages:185-191

Links:	Volltext

DOI / URN:	10.1007/BF01297174

Katalog-ID:	OLC2072256976

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520			\|a Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed.
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allfields	10.1007/BF01297174 doi (DE-627)OLC2072256976 (DE-He213)BF01297174-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Bishop, A. R. verfasserin aut Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. Soliton Correlation Function Response Function Dynamical Response External Magnetic Field Enthalten in Zeitschrift für Physik Springer-Verlag, 1975 44(1981), 3 vom: Sept., Seite 185-191 (DE-627)129415383 (DE-600)189287-3 (DE-576)014793687 0340-224X nnns volume:44 year:1981 number:3 month:09 pages:185-191 https://doi.org/10.1007/BF01297174 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_105 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 44 1981 3 09 185-191
spelling	10.1007/BF01297174 doi (DE-627)OLC2072256976 (DE-He213)BF01297174-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Bishop, A. R. verfasserin aut Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. Soliton Correlation Function Response Function Dynamical Response External Magnetic Field Enthalten in Zeitschrift für Physik Springer-Verlag, 1975 44(1981), 3 vom: Sept., Seite 185-191 (DE-627)129415383 (DE-600)189287-3 (DE-576)014793687 0340-224X nnns volume:44 year:1981 number:3 month:09 pages:185-191 https://doi.org/10.1007/BF01297174 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_105 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 44 1981 3 09 185-191
allfields_unstemmed	10.1007/BF01297174 doi (DE-627)OLC2072256976 (DE-He213)BF01297174-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Bishop, A. R. verfasserin aut Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. Soliton Correlation Function Response Function Dynamical Response External Magnetic Field Enthalten in Zeitschrift für Physik Springer-Verlag, 1975 44(1981), 3 vom: Sept., Seite 185-191 (DE-627)129415383 (DE-600)189287-3 (DE-576)014793687 0340-224X nnns volume:44 year:1981 number:3 month:09 pages:185-191 https://doi.org/10.1007/BF01297174 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_105 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 44 1981 3 09 185-191
allfieldsGer	10.1007/BF01297174 doi (DE-627)OLC2072256976 (DE-He213)BF01297174-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Bishop, A. R. verfasserin aut Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. Soliton Correlation Function Response Function Dynamical Response External Magnetic Field Enthalten in Zeitschrift für Physik Springer-Verlag, 1975 44(1981), 3 vom: Sept., Seite 185-191 (DE-627)129415383 (DE-600)189287-3 (DE-576)014793687 0340-224X nnns volume:44 year:1981 number:3 month:09 pages:185-191 https://doi.org/10.1007/BF01297174 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_105 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 44 1981 3 09 185-191
allfieldsSound	10.1007/BF01297174 doi (DE-627)OLC2072256976 (DE-He213)BF01297174-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Bishop, A. R. verfasserin aut Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. Soliton Correlation Function Response Function Dynamical Response External Magnetic Field Enthalten in Zeitschrift für Physik Springer-Verlag, 1975 44(1981), 3 vom: Sept., Seite 185-191 (DE-627)129415383 (DE-600)189287-3 (DE-576)014793687 0340-224X nnns volume:44 year:1981 number:3 month:09 pages:185-191 https://doi.org/10.1007/BF01297174 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_47 GBV_ILN_59 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_105 GBV_ILN_130 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2185 GBV_ILN_2192 GBV_ILN_2221 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4323 GBV_ILN_4700 33.00 VZ AR 44 1981 3 09 185-191
language	English
source	Enthalten in Zeitschrift für Physik 44(1981), 3 vom: Sept., Seite 185-191 volume:44 year:1981 number:3 month:09 pages:185-191
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topic_facet	Soliton Correlation Function Response Function Dynamical Response External Magnetic Field
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author	Bishop, A. R.
spellingShingle	Bishop, A. R. ddc 530 bkl 33.00 misc Soliton misc Correlation Function misc Response Function misc Dynamical Response misc External Magnetic Field Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field
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topic_title	530 VZ 33.00 bkl Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field Soliton Correlation Function Response Function Dynamical Response External Magnetic Field
topic	ddc 530 bkl 33.00 misc Soliton misc Correlation Function misc Response Function misc Dynamical Response misc External Magnetic Field
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title	Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field
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title_full	Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field
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title_sort	dynamical response functions due to pulse solitons in the isotropic ferromagnetic heisenberg chain in an external magnetic field
title_auth	Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field
abstract	Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. © Springer-Verlag 1981
abstractGer	Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. © Springer-Verlag 1981
abstract_unstemmed	Abstract Dynamical correlation functions are evaluated for the classical, isotropic, ferromagnetic Heisenberg chain in an external magnetic field. The calculation is approximate, using as its basis an ideal gas of ballistic pulse-soliton excitations which are known to be exact solutions to the spin equations of motion in the continuum limit. For the longitudinal correlation function (i.e. parallel to the applied field) a central peak structure is found which becomessplit at sufficientlylow temperatures and smears to higher frequence with increasing temperatures. This behaviour is contrasted with that found in the sine-Gordon and related solition systems. Comparisons with the results of numerical simulations of the Heisenberg chain are made, and the possible relevance to magnetic chain materials such as $ CsNiF_{3} $ is discussed. © Springer-Verlag 1981
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title_short	Dynamical response functions due to pulse solitons in the isotropic ferromagnetic Heisenberg chain in an external magnetic field
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