Title: Quantum effects on dislocation motion from ring-polymer molecular dynamics

Journal Article · · npj Computational Materials
ORCiD logo [1];  [2];  [3]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Quantum motion of atoms known as zero-point vibration was recently proposed to explain a long-standing discrepancy between theoretically computed and experimentally measured low-temperature plastic strength of iron and possibly other metals with high atomic masses. This finding challenges the traditional notion that quantum motion of atoms is relatively unimportant in solids comprised of heavy atoms. Here we report quantum dynamic simulations of quantum effects on dislocation motion within the exact formalism of Ring-Polymer Molecular Dynamics (RPMD). To extend the reach of quantum atomistic simulations to length and time scales relevant for extended defects in materials, we implemented RPMD in the open-source code LAMMPS thus making the RPMD method widely available to the community. We use our RPMD/LAMMPS approach for direct calculations of dislocation mobility and its effects on the yield strength of α-iron. Our simulation results establish that quantum effects are noticeable at temperatures below 50 K but account for only a modest (≈13% at T = 0 K) overall reduction in the Peierls barrier, at variance with the factor of two reduction predicted earlier based on the more approximate framework of harmonic transition state theory. Our results confirm that zero-point vibrations provide ample additional agitation for atomic motion that increases with decreasing temperature, however its enhancing effect on dislocation mobility is largely offset by an increase in the effective atom size, an effect known as quantum dispersion that has not been accounted for in the previous calculations.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-05CH11231; AC52-07NA27344
OSTI ID:
1497967
Report Number(s):
LLNL-JRNL-757307; 945110
Journal Information:
npj Computational Materials, Journal Name: npj Computational Materials Journal Issue: 1 Vol. 4; ISSN 2057-3960
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (38)

Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Thermally activated slip deformation of high purity iron single crystals between 4.2 K and 300 K journal November 1979
The glide of screw dislocations in bcc Fe: Atomistic static and dynamic simulations☆ journal August 2006
First-principles study on the mobility of screw dislocations in bcc iron journal May 2012
Ab initio investigation of the Peierls potential of screw dislocations in bcc Fe and W journal June 2013
Nuclear Quantum Effects in Water and Aqueous Systems: Experiment, Theory, and Current Challenges journal April 2016
The nature of the hydrated excess proton in water journal February 1999
Probing the limits of metal plasticity with molecular dynamics simulations journal September 2017
Dynamic transitions from smooth to rough to twinning in dislocation motion journal February 2004
Quantum effect on thermally activated glide of dislocations journal August 2012
Quantum fluctuations can promote or inhibit glass formation journal January 2011
Nuclear quantum fluctuations in ice I h journal January 2015
Quantum statistics and classical mechanics: Real time correlation functions from ring polymer molecular dynamics journal August 2004
Chemical reaction rates from ring polymer molecular dynamics journal February 2005
Quantum diffusion in liquid para -hydrogen from ring-polymer molecular dynamics journal May 2005
A refined ring polymer molecular dynamics theory of chemical reaction rates journal July 2005
Proton transfer in a polar solvent from ring polymer reaction rate theory journal April 2008
Quantum diffusion of hydrogen and muonium atoms in liquid water and hexagonal ice journal May 2008
Theory and simulations of quantum glass forming liquids journal February 2012
Rigorous formulation of quantum transition state theory and its dynamical corrections journal December 1989
Derivation of a true ( t → 0 + ) quantum transition-state theory. I. Uniqueness and equivalence to ring-polymer molecular dynamics transition-state-theory journal February 2013
Communication: Relation of centroid molecular dynamics and ring-polymer molecular dynamics to exact quantum dynamics journal May 2015
Density functional theory studies of screw dislocation core structures in bcc metals journal January 2003
Periodic image effects in dislocation modelling journal January 2003
Screw dislocation mobility in BCC Metals: a refined potential description for α-Fe journal August 2011
Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool journal December 2009
Structure identification methods for atomistic simulations of crystalline materials journal May 2012
Quantum Peierls stress of straight and kinked dislocations and effect of non-glide stresses journal January 2014
Computer Simulations of Dislocations book November 2006
Anomalous Nuclear Quantum Effects in Ice journal May 2012
Giant Plasticity of a Quantum Crystal journal January 2013
Ideal Shear Strength of a Quantum Crystal journal April 2014
Dislocation Structure and Mobility in hcp He 4 journal July 2016
Ring-Polymer Molecular Dynamics: Quantum Effects in Chemical Dynamics from Classical Trajectories in an Extended Phase Space journal April 2013
Plastic Deformation of bcc Metal Single Crystals at Very Low Temperatures journal January 1982
Quantum fluctuations can promote or inhibit glass formation text January 2010
Structure identification methods for atomistic simulations of crystalline materials text January 2012
Quantum Peierls stress of straight and kinked dislocations and effect of non-glide stresses text January 2013

Similar Records

Atomic-scale investigation of point defects and hydrogen-solute atmospheres on the edge dislocation mobility in alpha iron
Journal Article · 2014 · Journal of Applied Physics · OSTI ID:22314617

A 3D phase field dislocation dynamics model for body-centered cubic crystals
Journal Article · 2019 · Computational Materials Science · OSTI ID:1565909

Kinetic Monte Carlo method for dislocation migration in the presence of solute
Journal Article · 2004 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:20665016