Lattice systems with a continuous symmetry

Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtaine...
Ausführliche Beschreibung

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Autor*in:	Bricmont, Jean [verfasserIn] Fontaine, Jean-Raymond Lebowitz, Joel L. Lieb, Elliott H. Spencer, Thomas

Format:	Artikel
Sprache:	Englisch

Erschienen:	1981

Schlagwörter:	Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics

Anmerkung:	© Springer-Verlag 1981

Übergeordnetes Werk:	Enthalten in: Communications in mathematical physics - Springer-Verlag, 1965, 78(1981), 4 vom: Jan., Seite 545-566
Übergeordnetes Werk:	volume:78 ; year:1981 ; number:4 ; month:01 ; pages:545-566

Links:	Volltext

DOI / URN:	10.1007/BF02046764

Katalog-ID:	OLC2038835667

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allfields	10.1007/BF02046764 doi (DE-627)OLC2038835667 (DE-He213)BF02046764-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bricmont, Jean verfasserin aut Lattice systems with a continuous symmetry 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics Fontaine, Jean-Raymond aut Lebowitz, Joel L. aut Lieb, Elliott H. aut Spencer, Thomas aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 78(1981), 4 vom: Jan., Seite 545-566 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:78 year:1981 number:4 month:01 pages:545-566 https://doi.org/10.1007/BF02046764 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 78 1981 4 01 545-566
spelling	10.1007/BF02046764 doi (DE-627)OLC2038835667 (DE-He213)BF02046764-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bricmont, Jean verfasserin aut Lattice systems with a continuous symmetry 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics Fontaine, Jean-Raymond aut Lebowitz, Joel L. aut Lieb, Elliott H. aut Spencer, Thomas aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 78(1981), 4 vom: Jan., Seite 545-566 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:78 year:1981 number:4 month:01 pages:545-566 https://doi.org/10.1007/BF02046764 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 78 1981 4 01 545-566
allfields_unstemmed	10.1007/BF02046764 doi (DE-627)OLC2038835667 (DE-He213)BF02046764-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bricmont, Jean verfasserin aut Lattice systems with a continuous symmetry 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics Fontaine, Jean-Raymond aut Lebowitz, Joel L. aut Lieb, Elliott H. aut Spencer, Thomas aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 78(1981), 4 vom: Jan., Seite 545-566 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:78 year:1981 number:4 month:01 pages:545-566 https://doi.org/10.1007/BF02046764 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 78 1981 4 01 545-566
allfieldsGer	10.1007/BF02046764 doi (DE-627)OLC2038835667 (DE-He213)BF02046764-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bricmont, Jean verfasserin aut Lattice systems with a continuous symmetry 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics Fontaine, Jean-Raymond aut Lebowitz, Joel L. aut Lieb, Elliott H. aut Spencer, Thomas aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 78(1981), 4 vom: Jan., Seite 545-566 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:78 year:1981 number:4 month:01 pages:545-566 https://doi.org/10.1007/BF02046764 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 78 1981 4 01 545-566
allfieldsSound	10.1007/BF02046764 doi (DE-627)OLC2038835667 (DE-He213)BF02046764-p DE-627 ger DE-627 rakwb eng 530 510 VZ Bricmont, Jean verfasserin aut Lattice systems with a continuous symmetry 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics Fontaine, Jean-Raymond aut Lebowitz, Joel L. aut Lieb, Elliott H. aut Spencer, Thomas aut Enthalten in Communications in mathematical physics Springer-Verlag, 1965 78(1981), 4 vom: Jan., Seite 545-566 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:78 year:1981 number:4 month:01 pages:545-566 https://doi.org/10.1007/BF02046764 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4046 GBV_ILN_4103 GBV_ILN_4125 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 78 1981 4 01 545-566
language	English
source	Enthalten in Communications in mathematical physics 78(1981), 4 vom: Jan., Seite 545-566 volume:78 year:1981 number:4 month:01 pages:545-566
sourceStr	Enthalten in Communications in mathematical physics 78(1981), 4 vom: Jan., Seite 545-566 volume:78 year:1981 number:4 month:01 pages:545-566
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topic_facet	Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics
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authorswithroles_txt_mv	Bricmont, Jean @@aut@@ Fontaine, Jean-Raymond @@aut@@ Lebowitz, Joel L. @@aut@@ Lieb, Elliott H. @@aut@@ Spencer, Thomas @@aut@@
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author	Bricmont, Jean
spellingShingle	Bricmont, Jean ddc 530 misc Neural Network misc Free Energy misc Correlation Function misc High Power misc Nonlinear Dynamics Lattice systems with a continuous symmetry
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topic_title	530 510 VZ Lattice systems with a continuous symmetry Neural Network Free Energy Correlation Function High Power Nonlinear Dynamics
topic	ddc 530 misc Neural Network misc Free Energy misc Correlation Function misc High Power misc Nonlinear Dynamics
topic_unstemmed	ddc 530 misc Neural Network misc Free Energy misc Correlation Function misc High Power misc Nonlinear Dynamics
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title	Lattice systems with a continuous symmetry
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title_full	Lattice systems with a continuous symmetry
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author_browse	Bricmont, Jean Fontaine, Jean-Raymond Lebowitz, Joel L. Lieb, Elliott H. Spencer, Thomas
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author-letter	Bricmont, Jean
doi_str_mv	10.1007/BF02046764
dewey-full	530 510
title_sort	lattice systems with a continuous symmetry
title_auth	Lattice systems with a continuous symmetry
abstract	Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. © Springer-Verlag 1981
abstractGer	Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. © Springer-Verlag 1981
abstract_unstemmed	Abstract We prove that the expansion in powers of the temperatureT of the correlation functions and the free energy of the plane rotator model on ad-dimensional lattice is asymptotic to all orders inT. The leading term in the expansion is the spin wave approximation and the higher powers are obtained by the usual perturbation series. We also prove the inverse power decay of the pair correlation at low temperatures ford=3. © Springer-Verlag 1981
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title_short	Lattice systems with a continuous symmetry
url	https://doi.org/10.1007/BF02046764
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author2	Fontaine, Jean-Raymond Lebowitz, Joel L. Lieb, Elliott H. Spencer, Thomas
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up_date	2024-07-03T20:31:07.156Z
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