Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.

The approximate quantum mechanical ring polymer molecular dynamics (RPMD) and linearized semiclassical initial value representation (LSC-IVR) methods are compared and contrasted in a study of the dynamics of the flexible q-TIP4P/F water model at room temperature. For this water model, a RPMD simulat...

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Main Authors: Habershon, S, Manolopoulos, D
Format: Journal article
Language:English
Published: 2009
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author Habershon, S
Manolopoulos, D
author_facet Habershon, S
Manolopoulos, D
author_sort Habershon, S
collection OXFORD
description The approximate quantum mechanical ring polymer molecular dynamics (RPMD) and linearized semiclassical initial value representation (LSC-IVR) methods are compared and contrasted in a study of the dynamics of the flexible q-TIP4P/F water model at room temperature. For this water model, a RPMD simulation gives a diffusion coefficient that is only a few percent larger than the classical diffusion coefficient, whereas a LSC-IVR simulation gives a diffusion coefficient that is three times larger. We attribute this discrepancy to the unphysical leakage of initially quantized zero point energy (ZPE) from the intramolecular to the intermolecular modes of the liquid as the LSC-IVR simulation progresses. In spite of this problem, which is avoided by construction in RPMD, the LSC-IVR may still provide a useful approximation to certain short-time dynamical properties which are not so strongly affected by the ZPE leakage. We illustrate this with an application to the liquid water dipole absorption spectrum, for which the RPMD approximation breaks down at frequencies in the O-H stretching region owing to contamination from the internal modes of the ring polymer. The LSC-IVR does not suffer from this difficulty and it appears to provide quite a promising way to calculate condensed phase vibrational spectra.
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spelling oxford-uuid:63b41a9c-075c-4462-9940-c730d867a2b32022-03-26T18:14:35ZZero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:63b41a9c-075c-4462-9940-c730d867a2b3EnglishSymplectic Elements at Oxford2009Habershon, SManolopoulos, DThe approximate quantum mechanical ring polymer molecular dynamics (RPMD) and linearized semiclassical initial value representation (LSC-IVR) methods are compared and contrasted in a study of the dynamics of the flexible q-TIP4P/F water model at room temperature. For this water model, a RPMD simulation gives a diffusion coefficient that is only a few percent larger than the classical diffusion coefficient, whereas a LSC-IVR simulation gives a diffusion coefficient that is three times larger. We attribute this discrepancy to the unphysical leakage of initially quantized zero point energy (ZPE) from the intramolecular to the intermolecular modes of the liquid as the LSC-IVR simulation progresses. In spite of this problem, which is avoided by construction in RPMD, the LSC-IVR may still provide a useful approximation to certain short-time dynamical properties which are not so strongly affected by the ZPE leakage. We illustrate this with an application to the liquid water dipole absorption spectrum, for which the RPMD approximation breaks down at frequencies in the O-H stretching region owing to contamination from the internal modes of the ring polymer. The LSC-IVR does not suffer from this difficulty and it appears to provide quite a promising way to calculate condensed phase vibrational spectra.
spellingShingle Habershon, S
Manolopoulos, D
Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.
title Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.
title_full Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.
title_fullStr Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.
title_full_unstemmed Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.
title_short Zero point energy leakage in condensed phase dynamics: an assessment of quantum simulation methods for liquid water.
title_sort zero point energy leakage in condensed phase dynamics an assessment of quantum simulation methods for liquid water
work_keys_str_mv AT habershons zeropointenergyleakageincondensedphasedynamicsanassessmentofquantumsimulationmethodsforliquidwater
AT manolopoulosd zeropointenergyleakageincondensedphasedynamicsanassessmentofquantumsimulationmethodsforliquidwater