2019
DOI: 10.1063/1.5123164
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Comparing theory and simulation for thermo-osmosis

Abstract: We report a numerical study of thermo-osmotic slip, i.e. the particle flux induced by a thermal gradient along a solid-fluid interface. To facilitate comparison with theory, we consider a model of an ideal but viscous gas. We compare three numerical routes to obtain the slip coefficient: 1. by using the Onsager reciprocity relations 2. by using the appropriate Green-Kubo relation 3. via the excess enthalpy. The numerical results are found to be mutually consistent, and to agree with the theoretical prediction … Show more

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Cited by 15 publications
(8 citation statements)
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“…16,17 In fact, there is a debate between two approaches for describing the underlying mechanism for thermo-osmosis, namely the interfacial approach and the energetic approach. 18 Further understanding of thermo-osmosis at the nanoscale is of particular interest because the very limited studies of thermo-osmosis at solid-fluid interfaces [19][20][21][22][23] do not allow for linking the two approaches and for a complete understanding of the underlying mechanisms.…”
Section: Introductionmentioning
confidence: 99%
“…16,17 In fact, there is a debate between two approaches for describing the underlying mechanism for thermo-osmosis, namely the interfacial approach and the energetic approach. 18 Further understanding of thermo-osmosis at the nanoscale is of particular interest because the very limited studies of thermo-osmosis at solid-fluid interfaces [19][20][21][22][23] do not allow for linking the two approaches and for a complete understanding of the underlying mechanisms.…”
Section: Introductionmentioning
confidence: 99%
“…[22,27,[37][38][39] focused on the realization of self-phoretic microswimmers and the study of their dynamical properties utilizing MPC and/or MD simulation methods. Moreover, molecular simulations were used to quantify thermo-osmotic forces and the associated thermo-osmotic slip [40][41][42], also employing MPC and MD methods. Thermal nonequilibrium transport in colloids and the role of hydrodynamic slip were theoretically studied in [43,44], and a unified description of colloidal thermophoresis was suggested in [45] using a nonequilibrium-theromodynamics approach.…”
Section: Atomistic Model Of a Hot Janus Swimmermentioning
confidence: 99%
“…The benefit of the equilibrium approach to compute all the responses should in principle be even larger if one also considers thermal gradient (for instance, following strategies of Ref. [55]) in addition to the ones discussed above, even though dealing with such perturbations in molecular simulations can be challenging.…”
Section: Mobility Matrixmentioning
confidence: 99%