Particle-conserving dynamics on the single-particle level
Schindler T, Wittmann R, Brader JM (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 99
Article Number: 012605
Journal Issue: 1
DOI: 10.1103/PhysRevE.99.012605
Abstract
We generalize the particle-conserving dynamics method of de las Heras et al. [J. Phys.: Condens. Matter 28, 244024 (2016)JCOMEL0953-898410.1088/0953-8984/28/24/244024] to binary mixtures and apply this to hard rods in one dimension. Considering the case of one species consisting of only one particle enables us to address the tagged-particle dynamics. The time-evolution of the species-labeled density profiles is compared to exact Brownian dynamics and (grand-canonical) dynamical density functional theory. The particle-conserving dynamics yields improved results over the dynamical density functional theory and well reproduces the simulation data at short and intermediate times. However, the neglect of a strict particle order (due to the fundamental statistical assumption of ergodicity) leads to errors at long times for our one-dimensional setup. The isolated study of that error makes clear the fundamental limitations of (adiabatic) density-based theoretical approaches when applied to systems of any dimension for which particle caging is a dominant physical mechanism.
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APA:
Schindler, T., Wittmann, R., & Brader, J.M. (2019). Particle-conserving dynamics on the single-particle level. Physical Review E, 99(1). https://dx.doi.org/10.1103/PhysRevE.99.012605
MLA:
Schindler, Thomas, R. Wittmann, and J. M. Brader. "Particle-conserving dynamics on the single-particle level." Physical Review E 99.1 (2019).
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