Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
By A. Archer, M. Rauscher. 2004
211 citations recorded by the source corpus.
We aim to clarify confusions in the literature as to whether or not dynamical density functional theories for the one-body density of a classical Brownian fluid should contain a stochastic noise term. We point out that a stochastic as well as a deterministic equation of motion for the density distribution can be justified, depending on how the fluid one-body density is defined-i.e. whether it is an ensemble averaged density distribution or a spatially and/or temporally coarse grained density distribution.
Subfields: Condensed Matter Physics, Physical and Theoretical Chemistry, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/953018944f2023b65204746a31ecd45ab1492b46
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In Condensed Matter Physics
- Cesare Nardini
- Elsen Tjhung
- M. E. Cates
- Hartmut Löwen
- Michael te Vrugt
- Raphael Wittkowski
- M. Cristina Marchetti
- J. Tailleur
In Physical and Theoretical Chemistry
In Statistical and Nonlinear Physics
Citations in the corpus
- Classical dynamical density functional theory: from fundamentals to applications (2020, methodology): “A detailed discussion of the relation between deterministic and stochastic DDFT was given by Archer and Rauscher [211] (see also Refs.”
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview (2012, background): “In turn, in the case of (ii) it is not clear conceptually, which fraction of the thermal fluctuations is already integrated into the free energy and which wavelengths should yet be added as noise to the EOM [95, 192, 193] – a question inherently related to the proper choice of the high frequency cut”
- Cluster Phases and Bubbly Phase Separation in Active Fluids: Reversal of the Ostwald Process (2018, background): “Note that only in this replacement is information lost and the coarse graining really performed [40,55].”