Imperial College London
Professor Andrew Parry

ProfessorAndrewParry

Faculty of Natural Sciences, Department of Mathematics

Deputy Head of Department/Professor of Statistical Physics
 
 
 
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Contact

 

+44 (0)20 7594 8537a.o.parry Website

 
 
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Location

 

6M15Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Squarcini:2023:10.1080/00268976.2023.2193654,
author = {Squarcini, A and Romero-Enrique, JM and Parry, A},
doi = {10.1080/00268976.2023.2193654},
journal = {Molecular Physics: An International Journal at the Interface Between Chemistry and Physics},
pages = {1--10},
title = {Derivation of the Casimir contribution to the binding potential for 3D wetting},
url = {http://dx.doi.org/10.1080/00268976.2023.2193654},
volume = {121},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The renormalisation group theory of critical and tri-critical wetting transitions in three-dimensional systems with short-ranged forces, based on analysis of an effective Hamiltonian with an interfacial binding potential w(), predicts very strong non-universal critical singularities. These, however, have famously not been observed in extensive Monte Carlo simulations of the transitions in the simple cubic Ising model. Here, we show that previous treatments have missed an entropic, or low-temperature Casimir, contribution to the binding potential, arising from the many different microscopic configurations which correspond to a given interfacial one. We derive the full binding potential, including the Casimir correction term, starting from a microscopic Landau–Ginzburg–Wilson Hamiltonian, using a continuum transfer-matrix (path-integral) method. This is illustrated first in one dimension before generalising to arbitrary dimension. The Casimir contribution is qualitatively different for first-order, critical and tri-critical wetting transitions and substantially alters previous predictions for critical singularities bringing them much closer to the simulation results.
AU  - Squarcini,A
AU  - Romero-Enrique,JM
AU  - Parry,A
DO  - 10.1080/00268976.2023.2193654
EP  - 10
PY  - 2023///
SN  - 0026-8976
SP  - 1
TI  - Derivation of the Casimir contribution to the binding potential for 3D wetting
T2  - Molecular Physics: An International Journal at the Interface Between Chemistry and Physics
UR  - http://dx.doi.org/10.1080/00268976.2023.2193654
UR  - https://www.tandfonline.com/doi/full/10.1080/00268976.2023.2193654
UR  - http://hdl.handle.net/10044/1/103514
VL  - 121
ER  -
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