Semi-classical generalized Langevin equation for equilibrium and nonequilibrium molecular dynamics simulation

Jing Tao Lu*, Bing-Zhong Hu, Per Hedegård, Mads Brandbyge

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matter in different phases. Normally, the atomic dynamics are described by classical equations of motion and the effect of the environment is taken into account through the fluctuating and frictional forces. Generally, the nuclear quantum effects and their coupling to other degrees of freedom are difficult to include in an efficient way. This could be a serious limitation on its application to the study of dynamical properties of materials made from light elements, in the presence of external driving electrical or thermal fields. One example of such system is single molecule dynamics on metal surface, an important system that has received intense study in surface science. In this review, we summarize recent effort in extending the Langevin MD to include nuclear quantum effect and their coupling to flowing electrical current. We discuss its applications in the study of adsorbate dynamics on metal surface, current-induced dynamics in molecular junctions, and quantum thermal transport between different reservoirs.
Original languageEnglish
JournalProgress in Surface Science
Volume94
Issue number1
Pages (from-to)21-40
Number of pages20
ISSN0079-6816
DOIs
Publication statusPublished - 2019

Keywords

  • Semi-classical generalized Langevin equation
  • Molecular dynamics
  • Current-induced dynamics
  • Thermal transport
  • Nuclear quantum effect

Cite this

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title = "Semi-classical generalized Langevin equation for equilibrium and nonequilibrium molecular dynamics simulation",
abstract = "Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matter in different phases. Normally, the atomic dynamics are described by classical equations of motion and the effect of the environment is taken into account through the fluctuating and frictional forces. Generally, the nuclear quantum effects and their coupling to other degrees of freedom are difficult to include in an efficient way. This could be a serious limitation on its application to the study of dynamical properties of materials made from light elements, in the presence of external driving electrical or thermal fields. One example of such system is single molecule dynamics on metal surface, an important system that has received intense study in surface science. In this review, we summarize recent effort in extending the Langevin MD to include nuclear quantum effect and their coupling to flowing electrical current. We discuss its applications in the study of adsorbate dynamics on metal surface, current-induced dynamics in molecular junctions, and quantum thermal transport between different reservoirs.",
keywords = "Semi-classical generalized Langevin equation, Molecular dynamics, Current-induced dynamics, Thermal transport, Nuclear quantum effect",
author = "Lu, {Jing Tao} and Bing-Zhong Hu and Per Hedeg{\aa}rd and Mads Brandbyge",
year = "2019",
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language = "English",
volume = "94",
pages = "21--40",
journal = "Progress in Surface Science",
issn = "0079-6816",
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Semi-classical generalized Langevin equation for equilibrium and nonequilibrium molecular dynamics simulation. / Lu, Jing Tao; Hu, Bing-Zhong; Hedegård, Per; Brandbyge, Mads.

In: Progress in Surface Science, Vol. 94, No. 1, 2019, p. 21-40.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Semi-classical generalized Langevin equation for equilibrium and nonequilibrium molecular dynamics simulation

AU - Lu, Jing Tao

AU - Hu, Bing-Zhong

AU - Hedegård, Per

AU - Brandbyge, Mads

PY - 2019

Y1 - 2019

N2 - Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matter in different phases. Normally, the atomic dynamics are described by classical equations of motion and the effect of the environment is taken into account through the fluctuating and frictional forces. Generally, the nuclear quantum effects and their coupling to other degrees of freedom are difficult to include in an efficient way. This could be a serious limitation on its application to the study of dynamical properties of materials made from light elements, in the presence of external driving electrical or thermal fields. One example of such system is single molecule dynamics on metal surface, an important system that has received intense study in surface science. In this review, we summarize recent effort in extending the Langevin MD to include nuclear quantum effect and their coupling to flowing electrical current. We discuss its applications in the study of adsorbate dynamics on metal surface, current-induced dynamics in molecular junctions, and quantum thermal transport between different reservoirs.

AB - Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matter in different phases. Normally, the atomic dynamics are described by classical equations of motion and the effect of the environment is taken into account through the fluctuating and frictional forces. Generally, the nuclear quantum effects and their coupling to other degrees of freedom are difficult to include in an efficient way. This could be a serious limitation on its application to the study of dynamical properties of materials made from light elements, in the presence of external driving electrical or thermal fields. One example of such system is single molecule dynamics on metal surface, an important system that has received intense study in surface science. In this review, we summarize recent effort in extending the Langevin MD to include nuclear quantum effect and their coupling to flowing electrical current. We discuss its applications in the study of adsorbate dynamics on metal surface, current-induced dynamics in molecular junctions, and quantum thermal transport between different reservoirs.

KW - Semi-classical generalized Langevin equation

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KW - Current-induced dynamics

KW - Thermal transport

KW - Nuclear quantum effect

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