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Title: Compositional patterning in irradiated alloys: Effective potentials and effective interfacial energy

Journal Article · · Physical Review B

Compositional patterning (CP) in binary alloys during energetic particle irradiation is studied using a kinetic model that considers two competing kinetic processes, a thermally activated one promoting macroscopic phase separation (MPS) of the concentration field c(r,t) and a forced one resulting in finite-range random atomic mixing. The forced mixing is modeled by a Gaussian relocation distribution with a characteristic distance R. A series of approximate kinetic models are introduced by expanding the mixing function into a series of n terms, thus replacing the non-local evaluations of the concentration field c(r'-r,t) by local derivatives of c(r,t). This approach makes it possible to obtain exact effective potentials and build steady-state diagrams for each order-n model. Phase field (PF) simulations using these order-n models reveal that near the onset of patterning, phase evolution is accurately described using an order-3 model, which changes smoothly from an extended Cahn-Hilliard free energy in the MPS regime to a one-mode Swift-Hohenberg functional in the CP regime. Deeper into the patterning regime, higher-order models are required to achieve convergence, yielding square-like concentration profiles characteristic of a strong segregation regime. These higher-order effective free energies are analogous to multimodal Swift-Hohenberg functionals. Here, a new definition for the effective interfacial energy is proposed in the CP regime, since the interfacial area is no longer an excess quantity in that regime, precluding the use of the standard thermodynamic definition of interfacial energy.

Research Organization:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
SC0019875
OSTI ID:
1773968
Journal Information:
Physical Review B, Vol. 103, Issue 10; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (65)

Irradiation-induced patterning in dilute Cu–Fe alloys journal October 2014
Curvature-dependent tension and tangential flows at the interface of motility-induced phases journal January 2018
Sharp interface limits of phase-field models journal July 2001
Molecular dynamics simulations of a 10keV cascade in β-NiAl journal April 1995
Thermodynamics of FCC metals at melting point in one-mode phase-field crystals model journal April 2018
Compositional Patterning in Systems Driven by Competing Dynamics Of Different Length Scale journal March 2000
Simulating the ballistic effects of ion irradiation in the binary collision approximation: A first step toward the ion mixing framework journal April 2017
A Review of Quantitative Phase-Field Crystal Modeling of Solid–Liquid Structures journal December 2014
Phase stability under irradiation in alloys with a positive heat of mixing: Effective thermodynamics description journal December 1999
Pattern formation outside of equilibrium journal July 1993
Predicting Nonequilibrium Patterns beyond Thermodynamic Concepts: Application to Radiation-Induced Microstructures journal February 2020
Pattern formation in plasticity journal December 1995
Theory of Microphase Separation in Block Copolymers journal November 1980
Reducing grain boundary, dislocation line and vacancy formation energies by solute segregationII. Experimental evidence and consequences journal September 2007
Dynamic self-organization in Cu alloys under ion irradiation journal July 2010
Nonequilibrium fluctuations, effective temperature, and effective interactions driven by irradiation of alloys journal December 2004
Disrupted coarsening in complex Cahn-Hilliard dynamics journal September 2013
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals journal November 2004
Evolution of long-range order and composition for radiation-induced precipitate dissolution journal August 1996
Phase separation and dynamic patterning in Cu 1 x Co x films under ion irradiation journal November 2005
On the equilibrium of heterogeneous substances journal December 1878
On α′ precipitate composition in thermally annealed and neutron-irradiated Fe- 9-18Cr alloys journal March 2018
Behaviour of P, Si, Ni impurities and Cr in self ion irradiated Fe–Cr alloys – Comparison to neutron irradiation journal January 2015
Invited review article ordering of voids and gas bubbles in radiation environments journal January 1982
Void ordering in metals during irradiation journal March 1982
A sharp interface model for void growth in irradiated materials journal February 2015
Flux effects in precipitation under irradiation – Simulation of Fe-Cr alloys journal February 2019
Observations of a Regular Void Array in High Purity Molybdenum irradiated with 2 MeV Nitrogen Ions journal February 1971
Patterning in systems driven by nonlocal external forces journal November 2016
On the effect of dose rate on irradiation hardening of RPV steels journal February 2005
Free Energy of a Nonuniform System. I. Interfacial Free Energy journal February 1958
Spatial pattern formation in chemical and biological systems
  • Maini, Philip K.; Painter, Kevin J.; Nguyen Phong Chau, Helene
  • Journal of the Chemical Society, Faraday Transactions, Vol. 93, Issue 20 https://doi.org/10.1039/a702602a
journal January 1997
Nonlinear pattern formation near the onset of Rayleigh-Bénard convection journal July 1984
Radiation-induced micro-structures as ground states of a Swift-Hohenberg energy functional journal February 2019
Irradiation-induced composition patterns in binary solid solutions journal September 2013
Theory of dynamic critical phenomena journal July 1977
Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation journal September 2010
Modeling Elasticity in Crystal Growth journal June 2002
MOOSE: Enabling massively parallel multiphysics simulation journal January 2020
Steady-state properties of a finite system driven by a chemical-potential gradient journal July 1990
Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles journal December 2019
Phase stability of decomposed Ni-Al alloys under ion irradiation journal May 2001
Dynamics of phase separation in block copolymer melts journal May 1989
Diffusion-Controlled Anisotropic Growth of Stable and Metastable Crystal Polymorphs in the Phase-Field Crystal Model journal July 2009
The stability of precipitates in an irradiation environment journal September 1972
Phase transitions in stationary nonequilibrium states of model lattice systems journal August 1983
Sliding wear-induced chemical nanolayering in Cu–Ag, and its implications for high wear resistance journal June 2014
Ginzburg-Landau theory of ternary amphiphilic systems. I. Gaussian interface fluctuations journal June 1993
Simulations of dynamical stabilization of Ag–Cu nanocomposites by ion-beam processing journal March 2003
Atom probe study of irradiation-enhanced α′ precipitation in neutron-irradiated Fe–Cr model alloys journal July 2015
Atomic-scale design of radiation-tolerant nanocomposites journal December 2010
Thermal and radiation-enhanced diffusion in Cu 3 Au journal July 1999
The depth resolution of sputter profiling journal February 1979
Domain Shapes and Patterns: The Phenomenology of Modulated Phases journal January 1995
An analysis of two classes of phase field models for void growth and coarsening in irradiated crystalline solids journal January 2018
Novel nanoscale precipitate structures in ion-irradiated Cu 1− x V x alloys: “Cherry-pit” formation journal December 2014
Atomic-based phase-field method for the modeling of radiation induced segregation in Fe–Cr journal September 2016
Effect of concentration dependent gradient energy coefficient on spinodal decomposition in the Fe-Cr system journal February 2018
Distortion of depth profiles during ion bombardment II. Mixing mechanisms journal February 1981
Molecular dynamics simulation of displacement cascades in Cu and Ni: Thermal spike behavior journal June 1989
Reducing grain boundary, dislocation line and vacancy formation energies by solute segregation. I. Theoretical background journal September 2007
α′ precipitation in neutron-irradiated Fe–Cr alloys journal March 2014
An extended Cahn-Hilliard model for interfaces with cubic anisotropy journal October 2001
Pattern Formation and Dynamics in Nonequilibrium Systems book January 2009
Phase stability under irradiation: Ballistic effects journal August 1984

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