Three decades of many-body potentials in materials research

MRS BULLETIN • VOLUME 37 • MAY 2012 • www.mrs.org/bulletin © 2012 Materials Research Society Intent of this issue The introduction of physically sound interatomic potential energy functions that go beyond simple pair-additive interactions (e.g., many-body potentials) beginning in the 1980s opened tremendous modeling capabilities that continue to shape new directions and create critical breakthroughs in materials research. 1–5 The key to their proven usefulness is a combination of relative accuracy in reproducing important structures (including defects) across a wide range of material types and their overall computational effi ciency. This combination of features allows atomic simulations that are large enough to explore phenomena such as correlated dynamics associated with plastic fl ow in metals and accurate enough to be compared to specifi c materials and structures. With this capability, continuum concepts can be tested at the atomic scale, experimental results interpreted in new ways, and virtual experiments carried out that are at the forefront of the development of new materials. Our intentions with this issue of MRS Bulletin are to celebrate the rapid succession of many-body potentials that were introduced in the early to mid-1980s, to review the impact that these potentials have had on research carried out by the materials community in general, and to outline where the fi eld is headed in the next three decades. Contributions in this issue are included from some of the original potential developers, from researchers who have made seminal contributions to materials research using these potentials, and from researchers who are at the forefront of developing and applying the next generation of methods. We expect that this “continuum” of modeling concepts and applications will help guide and inspire the next generation of computational materials scientists and engineers as they expand this capability to new and exciting areas of materials research.

[1]  David J. Srolovitz,et al.  Atomistic Simulation of Materials , 1989 .

[2]  M. Baskes,et al.  Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals , 1984 .

[3]  Dodson,et al.  Development of a many-body Tersoff-type potential for silicon. , 1987, Physical review. B, Condensed matter.

[4]  D. Turnbull,et al.  Solid State Physics : Advances in Research and Applications , 1978 .

[5]  Corrected effective medium method. I. One‐body formulation with applications to atomic chemisorption and diatomic molecular potentials , 1987 .

[6]  Parrinello,et al.  Au(100) surface reconstruction. , 1986, Physical review letters.

[7]  Anthony Paxton,et al.  ATOMISTIC SIMULATION OF MATERIALS : BEYOND PAIR POTENTIALS , 1989 .

[8]  Risto M. Nieminen,et al.  Many-Atom Interactions in Solids , 1990 .

[9]  G. Vineyard,et al.  THE DYNAMICS OF RADIATION DAMAGE , 1960 .

[10]  Şakir Erkoç,et al.  Empirical many-body potential energy functions used in computer simulations of condensed matter properties , 1997 .

[11]  M. Finnis,et al.  A simple empirical N-body potential for transition metals , 1984 .

[12]  B. Alder,et al.  Phase Transition for a Hard Sphere System , 1957 .

[13]  Das Sarma S,et al.  Proposed universal interatomic potential for elemental tetrahedrally bonded semiconductors. , 1988, Physical review. B, Condensed matter.

[14]  Brenner Relationship between the embedded-atom method and Tersoff potentials. , 1989, Physical review letters.

[15]  R. Wyatt,et al.  History of H3 Kinetics , 1976 .

[16]  Murray S. Daw,et al.  The embedded-atom method: a review of theory and applications , 1993 .

[17]  Ellad B. Tadmor,et al.  A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods , 2009 .

[18]  Weber,et al.  Computer simulation of local order in condensed phases of silicon. , 1985, Physical review. B, Condensed matter.

[19]  G. Berman,et al.  The Fermi-Pasta-Ulam problem: fifty years of progress. , 2004, Chaos.

[20]  J. Tersoff,et al.  New empirical model for the structural properties of silicon. , 1986, Physical review letters.

[21]  Donald G. Truhlar,et al.  Generalized transition state theory. Classical mechanical theory and applications to collinear reactions of hydrogen molecules , 1979 .

[22]  G. Ackland,et al.  Atomistic simulation of materials : beyond pair potentials , 1989 .

[23]  M. Karplus,et al.  Dynamics of folded proteins , 1977, Nature.

[24]  Aneesur Rahman,et al.  Correlations in the Motion of Atoms in Liquid Argon , 1964 .

[25]  D. Srivastava,et al.  Potential energy surfaces for chemical reactions at solid surfaces. , 1995, Annual review of physical chemistry.

[26]  Jacobsen,et al.  Interatomic interactions in the effective-medium theory. , 1987, Physical review. B, Condensed matter.

[27]  F. Stillinger,et al.  Improved simulation of liquid water by molecular dynamics , 1974 .

[28]  Biswas,et al.  Interatomic potentials for silicon structural energies. , 1985, Physical review letters.

[29]  J. Nørskov,et al.  Effective-medium theory of chemical binding: Application to chemisorption , 1980 .

[30]  J. Hirschfelder,et al.  Reactions Involving Hydrogen Molecules and Atoms , 1936 .

[31]  W. Goddard,et al.  Excited electron dynamics modeling of warm dense matter. , 2007, Physical review letters.