skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Accelerated kinetic Monte Carlo: A case study; vacancy and dumbbell interstitial diffusion traps in concentrated solid solution alloys

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/5.0015039· OSTI ID:1694382

Vacancy and self-interstitial atomic diffusion coefficients in concentrated solid solution alloys can have a non-monotonic concentration dependence. Here, the kinetics of monovacancies and $$\langle$$100$$\rangle$$ dumbbell interstitials in Ni–Fe alloys are assessed using lattice kinetic Monte Carlo (kMC). The non-monotonicity is associated with superbasins, which impels using accelerated kMC methods. Detailed implementation prescriptions for first passage time analysis kMC (FPTA-kMC), mean rate method kMC (MRM-kMC), and accelerated superbasin kMC (AS-kMC) are given. The accelerated methods are benchmarked in the context of diffusion coefficient calculations. The benchmarks indicate that MRM-kMC underestimates diffusion coefficients, while AS-kMC overestimates them. In this application, MRM-kMC and AS-kMC are computationally more efficient than the more accurate FPTA-kMC. Our calculations indicate that composition dependence of migration energies is at the origin of the vacancy’s non-monotonic behavior. In contrast, the difference between formation energies of Ni–Ni, Ni–Fe, and Fe–Fe dumbbell interstitials is at the origin of their non-monotonic diffusion behavior. Additionally, the migration barrier crossover composition—based on the situation where Ni or Fe atom jumps have lower energy barrier than the other one—is introduced. KMC simulations indicate that the interplay between composition dependent crossover of migration energy and geometrical site percolation explains the non-monotonic concentration-dependence of atomic diffusion coefficients.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1694382
Alternate ID(s):
OSTI ID: 1648378
Journal Information:
Journal of Chemical Physics, Vol. 153, Issue 7; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (62)

Effects of compositional complexity on the ion-irradiation induced swelling and hardening in Ni-containing equiatomic alloys journal July 2016
On the complexity of solid-state diffusion in highly concentrated alloys and the sluggish diffusion core-effect journal March 2020
Corrosion-Resistant High-Entropy Alloys: A Review journal February 2017
Interstitial migration behavior and defect evolution in ion irradiated pure nickel and Ni-xFe binary alloys journal October 2018
The diffusion of a Ga atom on GaAs(001) β 2(2 × 4): Local superbasin kinetic Monte Carlo journal October 2017
Host Atom Diffusion in Ternary Fe-Cr-Al Alloys journal September 2013
Sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys journal August 2013
Interatomic potential to study plasticity in stainless steels: the FeNiCr model alloy journal November 2011
Microstructures and properties of high-entropy alloys journal April 2014
Comments on “Sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys” by K.Y. Tsai, M.H. Tsai and J.W. Yeh, Acta Materialia 61 (2013) 4887–4897 journal July 2017
Further considerations on the thermodynamics of chemical equilibria and reaction rates journal January 1936
EON: software for long time simulations of atomic scale systems journal May 2014
Synchronous relaxation algorithm for parallel kinetic Monte Carlo simulations of thin film growth journal January 2007
Breakthrough applications of high-entropy materials journal August 2018
Rejection-free Monte Carlo algorithms for models with continuous degrees of freedom journal February 2003
A local superbasin kinetic Monte Carlo method journal April 2013
Adaptive kinetic Monte Carlo for first-principles accelerated dynamics journal September 2008
Self-diffusion in austenitic Fe-Cr-Ni alloys journal March 1980
Adaptive kinetic Monte Carlo simulation of methanol decomposition on Cu(100) journal December 2009
A climbing image nudged elastic band method for finding saddle points and minimum energy paths journal December 2000
The Activation-Relaxation Technique: ART Nouveau and Kinetic ART journal January 2012
Quasiequilibrium approximation of fast reaction kinetics in stochastic biochemical systems journal May 2005
Generation-IV nuclear power: A review of the state of the science journal December 2008
Specific features of defect and mass transport in concentrated fcc alloys journal August 2016
An energy basin finding algorithm for kinetic Monte Carlo acceleration journal April 2010
A fracture-resistant high-entropy alloy for cryogenic applications journal September 2014
Neutron Cross Sections of the Elements journal July 1950
Long-time point defect diffusion in ordered nickel-based binary alloys: How small kinetic differences can lead to completely long-time structural evolution journal December 2018
Multiscale spatial Monte Carlo simulations: Multigriding, computational singular perturbation, and hierarchical stochastic closures journal February 2006
Simultaneous analysis of three-dimensional percolation models journal November 2013
A new calculation of thermal neutron damage and helium production in nickel journal April 1983
Optimization of the Kinetic Activation-Relaxation Technique, an off-lattice and self-learning kinetic Monte-Carlo method journal February 2012
Alloy Design Strategies and Future Trends in High-Entropy Alloys journal October 2013
Solute diffusion in dilute alloys journal February 1978
Binomial distribution based τ-leap accelerated stochastic simulation journal January 2005
Structural materials for Gen-IV nuclear reactors: Challenges and opportunities journal December 2008
Irradiation-induced damage evolution in concentrated Ni-based alloys journal August 2017
Effects of Fe concentration on helium bubble formation in NiFex single-phase concentrated solid solution alloys journal March 2019
Semirigorous synchronous sublattice algorithm for parallel kinetic Monte Carlo simulations of thin film growth journal March 2005
Studies of “sluggish diffusion” effect in Co-Cr-Fe-Mn-Ni, Co-Cr-Fe-Ni and Co-Fe-Mn-Ni high entropy alloys; determination of tracer diffusivities by combinatorial approach journal January 2018
Tunable chemical complexity to control atomic diffusion in alloys journal April 2020
Physical metallurgy of concentrated solid solutions from low-entropy to high-entropy alloys journal December 2017
Radiation-induced segregation on defect clusters in single-phase concentrated solid-solution alloys journal April 2017
Overcoming stiffness in stochastic simulation stemming from partial equilibrium: A multiscale Monte Carlo algorithm journal October 2005
Preferential diffusion in concentrated solid solution alloys: NiFe, NiCo and NiCoCr journal April 2017
Kinetic Activation–Relaxation Technique and Self-Evolving Atomistic Kinetic Monte Carlo: Comparison of on-the-fly Kinetic Monte Carlo algorithms journal April 2015
A critical review of high entropy alloys and related concepts journal January 2017
High-entropy alloys: a critical assessment of their founding principles and future prospects journal April 2016
Interdiffusion in the FCC-structured Al-Co-Cr-Fe-Ni high entropy alloys: Experimental studies and numerical simulations journal July 2016
Differences in the accumulation of ion-beam damage in Ni and NiFe explained by atomistic simulations journal March 2016
On the mobility of defect clusters and their effect on microstructure evolution in fcc Ni under irradiation journal December 2018
Influence of chemical disorder on energy dissipation and defect evolution in concentrated solid solution alloys journal October 2015
Ab initio molecular dynamics simulation of interstitial diffusion in Ni–Cr alloys and implications for radiation induced segregation journal June 2014
Dissipation of radiation energy in concentrated solid-solution alloys: Unique defect properties and microstructural evolution journal October 2019
On the existence and origin of sluggish diffusion in chemically disordered concentrated alloys journal June 2018
Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points journal December 2000
Binomial leap methods for simulating stochastic chemical kinetics journal December 2004
Long time scale kinetic Monte Carlo simulations without lattice approximation and predefined event table journal December 2001
Cross terms in the thermodynamic diffusion equations for multicomponent alloys journal February 1970
Accurate acceleration of kinetic Monte Carlo simulations through the modification of rate constants journal May 2010
Atomic-level heterogeneity and defect dynamics in concentrated solid-solution alloys journal October 2017
The slow-scale stochastic simulation algorithm journal January 2005

Similar Records

Defect energetics of concentrated solid-solution alloys from ab initio calculations: Ni0.5Co0.5, Ni0.5Fe0.5, Ni0.8Fe0.2 and Ni0.8Cr0.2
Journal Article · Wed Aug 03 00:00:00 EDT 2016 · Physical Chemistry Chemical Physics. PCCP · OSTI ID:1694382

Migration of Cr-Vacancy Clusters and Interstitial Cr in Alpha-Fe using the Dimer Method
Journal Article · Mon Feb 01 00:00:00 EST 2010 · Physical Review. B, Condensed Matter, 81(6):Article Number: 064101 · OSTI ID:1694382

Tunneling and migration of the dumbbell defect in electron irradiated aluminum-zinc alloys
Thesis/Dissertation · Sat Jan 01 00:00:00 EST 1983 · OSTI ID:1694382

Related Subjects