Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential:
Abstract: "Many physical systems exhibit rapid motion coupled to a slowly varying motion. Often the rapid motion is associated with a stiff contribution in the potential energy function. In this context, the situation typically considered in the literature is the one with a strictly convex pote...
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin-Wilmersdorf
1995
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Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1995,32 |
Schlagworte: | |
Zusammenfassung: | Abstract: "Many physical systems exhibit rapid motion coupled to a slowly varying motion. Often the rapid motion is associated with a stiff contribution in the potential energy function. In this context, the situation typically considered in the literature is the one with a strictly convex potential. Under some technical assumptions, one can then show that the slow motion is reproduced by a properly constrained system. In this paper we are concerned with a different situation: Often different time-scales can be found because of many local minima and barrier crossing between these minima. We suggest here to replace the detailed motion in the minima and the local barrier crossings by a statistical model which is then coupled to the slow equations of motion over long periods of time. This leads to Langevin type equations of motion subject to an appropriate time transformation." |
Beschreibung: | 17 S. |
Internformat
MARC
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100 | 1 | |a Reich, Sebastian |e Verfasser |4 aut | |
245 | 1 | 0 | |a Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential |c Sebastian Reich |
264 | 1 | |a Berlin-Wilmersdorf |c 1995 | |
300 | |a 17 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1995,32 | |
520 | 3 | |a Abstract: "Many physical systems exhibit rapid motion coupled to a slowly varying motion. Often the rapid motion is associated with a stiff contribution in the potential energy function. In this context, the situation typically considered in the literature is the one with a strictly convex potential. Under some technical assumptions, one can then show that the slow motion is reproduced by a properly constrained system. In this paper we are concerned with a different situation: Often different time-scales can be found because of many local minima and barrier crossing between these minima. We suggest here to replace the detailed motion in the minima and the local barrier crossings by a statistical model which is then coupled to the slow equations of motion over long periods of time. This leads to Langevin type equations of motion subject to an appropriate time transformation." | |
650 | 4 | |a Hamiltonian systems | |
650 | 4 | |a Molecular dynamics | |
830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1995,32 |w (DE-604)BV004801715 |9 1995,32 | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007142515 |
Datensatz im Suchindex
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adam_text | |
any_adam_object | |
author | Reich, Sebastian |
author_facet | Reich, Sebastian |
author_role | aut |
author_sort | Reich, Sebastian |
author_variant | s r sr |
building | Verbundindex |
bvnumber | BV010700877 |
classification_rvk | SS 4777 |
ctrlnum | (OCoLC)35423795 (DE-599)BVBBV010700877 |
discipline | Informatik |
format | Book |
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id | DE-604.BV010700877 |
illustrated | Not Illustrated |
indexdate | 2025-01-10T17:07:56Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007142515 |
oclc_num | 35423795 |
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owner_facet | DE-12 DE-703 |
physical | 17 S. |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
record_format | marc |
series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
spelling | Reich, Sebastian Verfasser aut Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential Sebastian Reich Berlin-Wilmersdorf 1995 17 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1995,32 Abstract: "Many physical systems exhibit rapid motion coupled to a slowly varying motion. Often the rapid motion is associated with a stiff contribution in the potential energy function. In this context, the situation typically considered in the literature is the one with a strictly convex potential. Under some technical assumptions, one can then show that the slow motion is reproduced by a properly constrained system. In this paper we are concerned with a different situation: Often different time-scales can be found because of many local minima and barrier crossing between these minima. We suggest here to replace the detailed motion in the minima and the local barrier crossings by a statistical model which is then coupled to the slow equations of motion over long periods of time. This leads to Langevin type equations of motion subject to an appropriate time transformation." Hamiltonian systems Molecular dynamics Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1995,32 (DE-604)BV004801715 1995,32 |
spellingShingle | Reich, Sebastian Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Hamiltonian systems Molecular dynamics |
title | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential |
title_auth | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential |
title_exact_search | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential |
title_full | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential Sebastian Reich |
title_fullStr | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential Sebastian Reich |
title_full_unstemmed | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential Sebastian Reich |
title_short | Enhanced long-term simulation of Hamiltonian systems containing a strong non-convex potential |
title_sort | enhanced long term simulation of hamiltonian systems containing a strong non convex potential |
topic | Hamiltonian systems Molecular dynamics |
topic_facet | Hamiltonian systems Molecular dynamics |
volume_link | (DE-604)BV004801715 |
work_keys_str_mv | AT reichsebastian enhancedlongtermsimulationofhamiltoniansystemscontainingastrongnonconvexpotential |