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Nudged elastic band calculation of the binding potential for liquids at interfaces

The wetting behavior of a liquid on solid substrates is governed by the nature of the effective interaction between the liquid-gas and the solid-liquid interfaces, which is described by the binding or wetting potential $g(h)$ which is an excess free energy per unit area that depends on the liquid fi...

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Main Authors: Oleg Buller, Walter Tewes, Andrew Archer, Andreas Heuer, Uwe Thiele, Svetlana V. Gurevich
Format: Default Article
Published: 2017
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Online Access:https://hdl.handle.net/2134/25698
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author Oleg Buller
Walter Tewes
Andrew Archer
Andreas Heuer
Uwe Thiele
Svetlana V. Gurevich
author_facet Oleg Buller
Walter Tewes
Andrew Archer
Andreas Heuer
Uwe Thiele
Svetlana V. Gurevich
author_sort Oleg Buller (7161827)
collection Figshare
description The wetting behavior of a liquid on solid substrates is governed by the nature of the effective interaction between the liquid-gas and the solid-liquid interfaces, which is described by the binding or wetting potential $g(h)$ which is an excess free energy per unit area that depends on the liquid film height $h$. Given a microscopic theory for the liquid, to determine $g(h)$ one must calculate the free energy for liquid films of any given value of $h$; i.e. one needs to create and analyze out-of-equilibrium states, since at equilibrium there is a unique value of $h$, specified by the temperature and chemical potential of the surrounding gas. Here we introduce a Nudged Elastic Band (NEB) approach to calculate $g(h)$ and illustrate the method by applying it in conjunction with a microscopic lattice density functional theory for the liquid. We show too that the NEB results are identical to those obtained with an established method based on using a fictitious additional potential to stabilize the non-equilibrium states. The advantages of the NEB approach are discussed.
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institution Loughborough University
publishDate 2017
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spelling rr-article-93869902017-07-10T00:00:00Z Nudged elastic band calculation of the binding potential for liquids at interfaces Oleg Buller (7161827) Walter Tewes (7161830) Andrew Archer (1258707) Andreas Heuer (295921) Uwe Thiele (1522597) Svetlana V. Gurevich (1522591) Other mathematical sciences not elsewhere classified Binding potential Wetting Interface Hamiltonian Mathematical Sciences not elsewhere classified The wetting behavior of a liquid on solid substrates is governed by the nature of the effective interaction between the liquid-gas and the solid-liquid interfaces, which is described by the binding or wetting potential $g(h)$ which is an excess free energy per unit area that depends on the liquid film height $h$. Given a microscopic theory for the liquid, to determine $g(h)$ one must calculate the free energy for liquid films of any given value of $h$; i.e. one needs to create and analyze out-of-equilibrium states, since at equilibrium there is a unique value of $h$, specified by the temperature and chemical potential of the surrounding gas. Here we introduce a Nudged Elastic Band (NEB) approach to calculate $g(h)$ and illustrate the method by applying it in conjunction with a microscopic lattice density functional theory for the liquid. We show too that the NEB results are identical to those obtained with an established method based on using a fictitious additional potential to stabilize the non-equilibrium states. The advantages of the NEB approach are discussed. 2017-07-10T00:00:00Z Text Journal contribution 2134/25698 https://figshare.com/articles/journal_contribution/Nudged_elastic_band_calculation_of_the_binding_potential_for_liquids_at_interfaces/9386990 CC BY-NC-ND 4.0
spellingShingle Other mathematical sciences not elsewhere classified
Binding potential
Wetting
Interface Hamiltonian
Mathematical Sciences not elsewhere classified
Oleg Buller
Walter Tewes
Andrew Archer
Andreas Heuer
Uwe Thiele
Svetlana V. Gurevich
Nudged elastic band calculation of the binding potential for liquids at interfaces
title Nudged elastic band calculation of the binding potential for liquids at interfaces
title_full Nudged elastic band calculation of the binding potential for liquids at interfaces
title_fullStr Nudged elastic band calculation of the binding potential for liquids at interfaces
title_full_unstemmed Nudged elastic band calculation of the binding potential for liquids at interfaces
title_short Nudged elastic band calculation of the binding potential for liquids at interfaces
title_sort nudged elastic band calculation of the binding potential for liquids at interfaces
topic Other mathematical sciences not elsewhere classified
Binding potential
Wetting
Interface Hamiltonian
Mathematical Sciences not elsewhere classified
url https://hdl.handle.net/2134/25698