Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system
Abstract
The isomorph theory is reformulated by defining Roskilde-simple systems by the property that the order of the potential energies of configurations at one density is maintained when these are scaled uniformly to a different density. If the potential energy as a function of all particle coordinates is denoted by U(R), this requirement translates into U(R{sub a}) < U(R{sub b}) ⇒ U(λR{sub a}) < U(λR{sub b}). Isomorphs remain curves in the thermodynamic phase diagram along which structure, dynamics, and excess entropy are invariant, implying that the phase diagram is effectively one-dimensional with respect to many reduced-unit properties. In contrast to the original formulation of the isomorph theory, however, the density-scaling exponent is not exclusively a function of density and the isochoric heat capacity is not an exact isomorph invariant. A prediction is given for the latter quantity's variation along the isomorphs. Molecular dynamics simulations of the Lennard-Jones and Lennard-Jones Gaussian systems validate the new approach.
- Authors:
- DNRF Centre “Glass and Time,” IMFUFA, Department of Sciences, Roskilde University, Postbox 260, DK-4000 Roskilde (Denmark)
- Publication Date:
- OSTI Identifier:
- 22413248
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 141; Journal Issue: 20; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; DENSITY; ENTROPY; FORECASTING; MOLECULAR DYNAMICS METHOD; PARTICLES; PHASE DIAGRAMS; SCALING; SIMULATION; SPECIFIC HEAT
Citation Formats
Schrøder, Thomas B., E-mail: tbs@ruc.dk, and Dyre, Jeppe C., E-mail: dyre@ruc.dk. Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system. United States: N. p., 2014.
Web. doi:10.1063/1.4901215.
Schrøder, Thomas B., E-mail: tbs@ruc.dk, & Dyre, Jeppe C., E-mail: dyre@ruc.dk. Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system. United States. https://doi.org/10.1063/1.4901215
Schrøder, Thomas B., E-mail: tbs@ruc.dk, and Dyre, Jeppe C., E-mail: dyre@ruc.dk. 2014.
"Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system". United States. https://doi.org/10.1063/1.4901215.
@article{osti_22413248,
title = {Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system},
author = {Schrøder, Thomas B., E-mail: tbs@ruc.dk and Dyre, Jeppe C., E-mail: dyre@ruc.dk},
abstractNote = {The isomorph theory is reformulated by defining Roskilde-simple systems by the property that the order of the potential energies of configurations at one density is maintained when these are scaled uniformly to a different density. If the potential energy as a function of all particle coordinates is denoted by U(R), this requirement translates into U(R{sub a}) < U(R{sub b}) ⇒ U(λR{sub a}) < U(λR{sub b}). Isomorphs remain curves in the thermodynamic phase diagram along which structure, dynamics, and excess entropy are invariant, implying that the phase diagram is effectively one-dimensional with respect to many reduced-unit properties. In contrast to the original formulation of the isomorph theory, however, the density-scaling exponent is not exclusively a function of density and the isochoric heat capacity is not an exact isomorph invariant. A prediction is given for the latter quantity's variation along the isomorphs. Molecular dynamics simulations of the Lennard-Jones and Lennard-Jones Gaussian systems validate the new approach.},
doi = {10.1063/1.4901215},
url = {https://www.osti.gov/biblio/22413248},
journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 20,
volume = 141,
place = {United States},
year = {Fri Nov 28 00:00:00 EST 2014},
month = {Fri Nov 28 00:00:00 EST 2014}
}