## Publications

118 results found

Parry A, Malijevsky A, pospisil M,
et al., 2019, Scaling of wetting and pre-wetting transitions on nano-patterned walls, *Physical Review E: Statistical, Nonlinear, and Soft Matter Physics*, Vol: 100, Pages: 032801-1-032801-5, ISSN: 1539-3755

We consider a nanopatterned planar wall consisting of a periodic array of stripes of width L, which arecompletely wet by liquid (contact angle θ = 0), separated by regions of width D which are completely dry(contact angle θ = π). Using microscopic density functional theory, we show that, in the presence of long-rangeddispersion forces, the wall-gas interface undergoes a first-order wetting transition, at bulk coexistence as theseparation D is reduced to a value Dw ∝ ln L, induced by the bridging between neighboring liquid droplets.Associated with this is a line of prewetting transitions occurring off coexistence. By varying the stripe width L,we show that the prewetting line shows universal scaling behavior and data collapse. This verifies predictionsbased on mesoscopic models for the scaling properties associated with finite-size effects at complete wettingincluding the logarithmic singular contribution to the surface free energy

Parry A, rascon C, 2019, Correlation function structure in square-gradient models of the liquid-gas interface: Exact results and reliable approximations., *Physical Review E: Statistical, Nonlinear, and Soft Matter Physics*, Vol: 110, Pages: 022803-1-022803-12, ISSN: 1539-3755

In a recent article, we described how the microscopic structure of density-density correlations in the fluid interfacial region, for systems with short-ranged forces, can be understood by considering the resonances of the local structure factor occurring at specific parallel wave vectors q [Nat. Phys. 15, 287 (2019)]. Here we investigate this further by comparing approximations for the local structure factor and pair correlation function against three new examples of analytically solvable models within square-gradient theory. Our analysis further demonstrates that these approximations describe the pair correlation function and structure factor across the whole spectrum of wave vectors, encapsulating the crossover from the Goldstone mode divergence (at small q) to bulklike behavior (at larger q). As shown, these approximations are exact for some square-gradient model potentials and never more than a few percent inaccurate for the others. Additionally, we show that they describe very accurately the correlation function structure for a model describing an interface near a tricritical point. In this case, there are no analytical solutions for the correlation functions, but the approximations are nearly indistinguishable from the numerical solutions of the Ornstein-Zernike equation.

Malijevsky A, Parry A, Popisil M, Bridging of liquid drops ar chemically structured walls, *Physical Review E*, ISSN: 1539-3755

Using mesoscopic interfacial models and microscopic density functional theory we study fluid ad-sorption at a dry wall decorated with three completely wet stripes of widthLseparated by distancesD1andD2. The stripes interact with the fluid with long-range forces inducing a large finite-sizecontribution to the surface free-energy. We show that this non-extensive free-energy contributionscales with lnLand drives different types of bridging transition corresponding to the merging ofliquid drops adsorbed at neighbouring wetting stripes when the separation between them ismolecu-larlysmall. We determine the surface phase diagram and show that this exhibits two triple points,where isolated drops, double drops and triple drops coexist. For the symmetric case,D1=D2≡D,our results also confirm that the equilbrium droplet configuration always has the symmetry of thesubstrate corresponding to either three isolated drops whenDis large or a single triple drop whenDis small; however, symmetry broken configurations do occur in a metastable part of the phasediagram which lies very close to the equilibrium bridging phase boundary. Implications for phasetransitions on other types of patterned surface are considered.

Parry A, Rascon C, 2018, The Goldstone mode and resonances in the fluid interfacial region, *Nature Physics*, Vol: 15, Pages: 287-292, ISSN: 1745-2473

The development of a molecular theory of inhomogeneous fluids and, in particular, of the liquid–gas interface has received enormous interest in recent years; however, long-standing attempts to extend the concept of surface tension in mesoscopic approaches by making it scale dependent, although apparently plausible, have failed to connect with simulation and experimental studies of the interface that probe the detailed properties of density correlations. Here, we show that a fully microscopic theory of correlations in the interfacial region can be developed that overcomes many of the problems associated with simpler mesoscopic ideas. This theory originates from recognizing that the correlation function displays, in addition to a Goldstone mode, an unexpected hierarchy of resonances that constrain severely its structural properties. Indeed, this approach allows us to identify new classes of fully integrable models for which, surprisingly, the tension, density profile and correlation function can all be determined analytically, revealing the microscopic structure of correlations in all generalized van der Waals theories.

Romero-Enrique JM, Squarcini A, Parry AO,
et al., 2018, Curvature corrections to the nonlocal interfacial model for short-ranged forces, *Physical Review E*, Vol: 97, ISSN: 1539-3755

In this paper we revisit the derivation of a nonlocal interfacial Hamiltonian model for systems with short-ranged intermolecular forces. Starting from a microscopic Landau-Ginzburg-Wilson Hamiltonian with a double-parabola potential, we reformulate the derivation of the interfacial model using a rigorous boundary integral approach. This is done for three scenarios: a single fluid phase in contact with a nonplanar substrate (i.e., wall); a free interface separating coexisting fluid phases (say, liquid and gas); and finally a liquid-gas interface in contact with a nonplanar confining wall, as is applicable to wetting phenomena. For the first two cases our approaches identifies the correct form of the curvature corrections to the free energy and, for the case of a free interface, it allows us to recast these as an interfacial self-interaction as conjectured previously in the literature. When the interface is in contact with a substrate our approach similarly identifies curvature corrections to the nonlocal binding potential, describing the interaction of the interface and wall, for which we propose a generalized and improved diagrammatic formulation.

Parry AO, Romero-Enrique JM, Squarcini A,
et al., The non-local interfacial model for short-ranged forces revisited, *Physical Review E*, ISSN: 1539-3755

Yatsyshin P, Parry AO, Rascon C,
et al., 2018, Wetting of a plane with a narrow solvophobic stripe, *Molecular Physics*, Vol: 116, Pages: 1990-1997, ISSN: 0026-8976

We present a numerical study of a simple density functional theory model of fluidadsorption occurring on a planar wall decorated with a narrow deep stripe of aweaker adsorbing (relatively solvophobic) material, where wall-fluid and fluid-fluidintermolecular forces are considered to be dispersive. Both the stripe and outersubstrate exhibit first-order wetting transitions with the wetting temperature ofthe stripe lying above that of the outer material. This geometry leads to a richphase diagram due to the interplay between the pre-wetting transition of the outersubstrate and an unbending transition corresponding to the local evaporation ofliquid near the stripe. Depending on the width of the stripe the line of unbendingtransitions merges with the pre-wetting line inducing a two-dimensional wettingtransition occurring across the substrate. In turn, this leads to the continuous pre-drying of the thick pre-wetting film as the pre-wetting line is approached from above.Interestingly we find that the merging of the unbending and pre-wetting lines occurseven for the widest stripes considered. This contrasts markedly with the scenariowhere the outer material has the higher wetting temperature, for which the mergingof the unbending and pre-wetting lines only occurs for very narrow stripes.

Rascon C, Pausch J, Parry AO, 2018, First order wedge wetting revisited, *Soft Matter*, Vol: 14, Pages: 2835-2845, ISSN: 1744-683X

We consider a fluid adsorbed in a wedge made from walls that exhibit a first-order wetting transition and revisit the argument as to why and how the pre-filling and pre-wetting coexistence lines merge when the opening angle is increased approaching the planar geometry. We clarify the nature of the possible surface phase diagrams, pointing out the connection with complete pre-wetting, and show that the merging of the coexistence lines lead to new interfacial transitions. These occur along the side walls and are associated with the unbinding of the thin-thick interface, rather than the liquid–gas interface (meniscus), from the wedge apex. When fluctuation effects, together with the influence of dispersion forces are included, these transitions display strong non-universal critical singularities that depend on the opening angle itself. Similar phenomena are also shown to occur for adsorption near an apex tip.

Parry AO, Malijevsky A, 2018, Modified Kelvin equations for condensation in narrow and wide grooves, *Physical Review Letters*, Vol: 120, ISSN: 0031-9007

We consider the location and order of capillary condensation transitions occurring in deep grooves of width L and depth D. For walls that are completely wet by liquid (contact angle θ=0) the transition is continuous and its location is not sensitive to the depth of the groove. However, for walls that are partially wet by liquid, where the transition is first order, we show that the pressure at which it occurs is determined by a modified Kelvin equation characterized by an edge contact angle θE describing the shape of the meniscus formed at the top of the groove. The dependence of θE on the groove depth D relies, in turn, on whether corner menisci are formed at the bottom of the groove in the low density gaslike phase. While for macroscopically wide grooves these are always present when θ<45° we argue that their formation is inhibited in narrow grooves. This has a number of implications including that the local pinning of the meniscus and location of the condensation transition is different depending on whether the contact angle is greater or less than a universal value θ∗≈31°. Our arguments are supported by detailed microscopic density functional theory calculations that show that the modified Kelvin equation remains highly accurate even when L and D are of the order of tens of molecular diameters.

Parry AO, malijevsky A, Pospisil M, 2017, Scaling behavior of thin films on chemically heterogeneous walls, *Physical Review E*, Vol: 96, ISSN: 1539-3755

We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width L. We suppose that the material of the stripe strongly preferentially adsorbs the liquid in contrast to the outer material which is only partially wet. This competition leads to the nucleation of a droplet of liquid on the stripe, the height hmand shape of which (at bulk two-phase coexistence) has been predicted previously using mesoscopic interfacial Hamiltonian theory. We test these predictions using a microscopic Fundamental Measure Density Functional Theory which incorporates short-ranged fluid-fluid and fully long-ranged wall-fluid interactions. Our model functional accurately describes packing effects not captured by the interfacial Hamiltonian but still we show that there is excellent agreement with the predictions hm≈L1/2 and for the scaled circular shape of the drop even for L as small as 50 molecular diameters. For smaller stripes the droplet height is considerably lower than that predicted by the mesoscopic interfacial theory. Phase transitions for droplet configurations occurring on substrates with multiple stripes are also discussed.

malijevsky A, Parry AO, Pospisil M, 2017, Edge contact angle and modified Kelvin equation for condensation in open pores, *Physical Review E*, Vol: 96, ISSN: 1539-3755

We consider capillary condensation transitions occurring in open slits of width L and finite height Himmersed in a reservoir of vapor. In this case the pressure at which condensation occurs is closer to saturation compared to that occurring in an infinite slit (H=∞) due to the presence of two menisci that are pinned near the open ends. Using macroscopic arguments, we derive a modified Kelvin equation for the pressure pcc(L;H) at which condensation occurs and show that the two menisci are characterized by an edge contact angle θe that is always larger than the equilibrium contact angle θ, only equal to it in the limit of macroscopic H. For walls that are completely wet (θ=0) the edge contact angle depends only on the aspect ratio of the capillary and is well described by θe≈√πL/2H for large H. Similar results apply for condensation in cylindrical pores of finite length. We test these predictions against numerical results obtained using a microscopic density-functional model where the presence of an edge contact angle characterizing the shape of the menisci is clearly visible from the density profiles. Below the wetting temperature Tw we find very good agreement for slit pores of widths of just a few tens of molecular diameters, while above Tw the modified Kelvin equation only becomes accurate for much larger systems.

Yatsyshin P, Parry AO, Rascón C,
et al., 2017, Classical density functional study of wetting transitions on nanopatterned surfaces., *Journal of Physics: Condensed Matter*, Vol: 29, ISSN: 0953-8984

Even simple fluids on simple substrates can exhibit very rich surface phase behaviour. To illustrate this, we consider fluid adsorption on a planar wall chemically patterned with a deep stripe of a different material. In this system, two phase transitions compete: unbending and pre-wetting. Using microscopic density-functional theory, we show that, for thin stripes, the lines of these two phase transitions may merge, leading to a new two-dimensional-like wetting transition occurring along the walls. The influence of intermolecular forces and interfacial fluctuations on this phase transition and at complete pre-wetting are considered in detail.

Rascón C, Parry AO, Aarts DGAL, 2016, Geometry induced capillary emptying, *Proceedings of the National Academy of Sciences of the United States of America*, Vol: 113, Pages: 12633-12636, ISSN: 1091-6490

When a capillary is half-filled with liquid and turned to the horizontal, the liquid may flow out of the capillary or remain in it. For lack of a better criterion, the standard assumption is that the liquid will remain in a capillary of narrow cross-section, and will flow out otherwise. Here, we present a precise mathematical criterion that determines which of the two outcomes occurs for capillaries of arbitrary cross-sectional shape, and show that the standard assumption fails for certain simple geometries, leading to very rich and counterintuitive behavior. This opens the possibility of creating very sensitive microfluidic devices that respond readily to small physical changes, for instance, by triggering the sudden displacement of fluid along a capillary without the need of any external pumping.

Parry AO, Malijevsky A, 2016, Crossover scaling of apparent first-order wetting in two dimensional systems with short-ranged forces, *Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, Vol: 93, ISSN: 1063-651X

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transitionmay be effectively first-order and that surprisingly the surface susceptibility develops a divergence described by an anomalous exponent with value eff11 = 3 2 . We reproduce these results using aninterfacial Hamiltonian model making connection with previous studies of two dimensional wetting and show that they follow from the simple crossover scaling of the singular contribution to the surfacefree-energy which describes the change from apparent first-order to continuous (critical) wetting due to interfacial tunnelling. The crossover scaling functions are calculated explicitly within both the strong-fluctuation and intermediate-fluctuation regimes and determine uniquely and more generally the value of eff11 which is non-universal for the latter regime. The location and the rounding of a line of pseudo pre-wetting transitions occurring above the wetting temperature and off bulk coexistence, together with the crossover scaling of the parallel correlation length, is also discussed in detail.

Parry AO, Kalliadeasis S, Yatsyshin P, 2016, Complete Prewetting, *Journal of Physics. Condensed Matter*, Vol: 28, ISSN: 0953-8984

We study continuous interfacial transitions, analagous to two-dimensionalcomplete wetting, associated with the first-order prewetting line, which can occur on steps, patterned walls, grooves and wedges, and which are sensitive to both the range of the intermolecular forces and interfacial uctuation effects. These transitionscompete with wetting, filling and condensation producing very rich phase diagrams even for relatively simple prototypical geometries. Using microscopic classical density functional theory to model systems with realistic Lennard-Jones fluid{fluid and fluid{ substrate intermolecular potentials, we compute mean-field fluid density profiles, adsorption isotherms and phase diagrams for a variety of confining geometrics.

Parry AO, Evans R, Rascon R, 2016, The local structure factor near an interface; beyond extended capillary-wave models, *Journal of Physics: Condensed Matter*, Vol: 28, ISSN: 1361-648X

We investigate the local structure factor S(z; q) at a free liquid-gas interface in systems withshort-ranged intermolecular forces and determine the corrections to the leading-order, capillarywave-like,Goldstone mode divergence of S(z; q) known to occur for parallel (i.e., measured alongthe interface) wavevectors q → 0. We show from explicit solution of the inhomogeneous OrnsteinZernikeequation that for distances z far from the interface, where the profile decays exponentially,S(z; q) splits unambiguously into bulk and interfacial contributions. On each side of the interface,the interfacial contributions can be characterised by distinct liquid and gas wavevector dependentsurface tensions, σl(q) and σg(q), which are determined solely by the bulk two-body and three-bodydirect correlation functions. At high temperatures, the wavevector dependence simplifies and isdetermined almost entirely by the appropriate bulk structure factor, leading to positive rigiditycoefficients. Our predictions are confirmed by explicit calculation of S(z; q) within square-gradienttheory and the Sullivan model. The results for the latter predict a striking temperature dependencefor σl(q) and σg(q), and have implications for fluctuation effects. Our results account quantitativelyfor the findings of a recent very extensive simulation study by H¨ofling and Dietrich of the totalstructure factor in the interfacial region, in a system with a cut-off Lennard-Jones potential, insharp contrast to extended Capillary-Wave models which failed completely to describe the simulationresults.

Malijevsky A, Parry AO, 2016, Influence of intermolecular forces at critical-point wedge filling, *Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, Vol: 93, ISSN: 1539-3755

We use microscopic density functional theory to study filling transitions in systems with longrangedwall-fluid and short-ranged fluid-fluid forces occurring in a right-angle wedge. By changingthe strength of the wall-fluid interaction we can induce both wetting and filling transitions overa wide range of temperatures and study the order of these transitions. At low temperatures wefind that both wetting and filling transitions are first-order in keeping with predictions of simplelocal effective Hamiltonian models. However close to the bulk critical point the filling transition isobserved to be continuous even though the wetting transition remains first-order and the wettingbinding potential still exhibits a small activation barrier. The critical singularities for adsorption forthe continuous filling transitions depend on whether retarded or non-retarded wall-fluid forces arepresent and are in excellent agreement with predictions of effective Hamiltonian theory even thoughthe change in the order of the transition was not anticipated.

Malijevsky A, Parry AO, 2015, Bridging transitions for spheres and cylinders, *Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, Vol: 92, Pages: 022407-1-022407-9, ISSN: 1539-3755

We study bridging transitions between spherically and cylindrically shaped particles (colloids) of radiusR separated by a distance H that are dissolved in a bulk fluid (solvent). Using macroscopics, microscopicdensity-functional theory, and finite-size scaling theory, we study the location and order of the bridging transitionand also the stability of the liquid bridges, which determines spinodal lines. The location of the bridging transitionsis similar for cylinders and spheres, so that at bulk coexistence, for example, the distance Hb at which a transitionbetween bridged and unbridged configurations occurs is proportional to the colloid radius R. However, all otheraspects, particularly the stability of liquid bridges, are very different in the two systems. Thus, for cylinders thebridging transition is typically strongly first-order, while for spheres it may be first-order, critical, or rounded asdetermined by a critical radius Rc. The influence of thick wetting films and fluctuation effects beyond mean fieldare also discussed in depth.

Malijevský A, Parry AO, 2015, Filling transitions in acute and open wedges., *Physical Review E*, Vol: 91, Pages: 052401-1-052401-8, ISSN: 2470-0045

We present numerical studies of first-order and continuous filling transitions in wedges of arbitrary opening angle ψ, using a microscopic fundamental measure density functional model with short-ranged fluid-fluid forces and long-ranged wall-fluid forces. In this system the wetting transition characteristic of the planar wall-fluid interface is always first order regardless of the strength of the wall-fluid potential ɛ(w). In the wedge geometry, however, the order of the filling transition depends not only on ɛ(w) but also on the opening angle ψ. In particular we show that even if the wetting transition is strongly first order the filling transition is continuous for sufficient acute wedges. We show further that the change in the order of the transition occurs via a tricritical point as opposed to a critical end point. These results extend previous effective Hamiltonian predictions which were limited only to shallow wedges.

Parry AO, Rascon C, Evans R, 2015, Liquid-gas asymmetry and the wave-vector-dependent surface tension, *Physical Review E*, Vol: 91, ISSN: 1539-3755

Parry AO, Malijevsky A, Rascon C, 2014, Capillary Contact Angle in a Completely Wet Groove, *PHYSICAL REVIEW LETTERS*, Vol: 113, ISSN: 0031-9007

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- Citations: 11

Malijevsky A, Parry AO, 2014, Condensation and evaporation transitions in deep capillary grooves, *JOURNAL OF PHYSICS-CONDENSED MATTER*, Vol: 26, ISSN: 0953-8984

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- Citations: 9

Parry AO, Rascon C, Willis G,
et al., 2014, Pair correlation functions and the wavevector-dependent surface tension in a simple density functional treatment of the liquid- vapour interface, *JOURNAL OF PHYSICS-CONDENSED MATTER*, Vol: 26, ISSN: 0953-8984

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- Citations: 13

Fernandez EM, Chacon E, Tarazona P,
et al., 2013, Intrinsic Fluid Interfaces and Nonlocality, *PHYSICAL REVIEW LETTERS*, Vol: 111, ISSN: 0031-9007

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- Citations: 18

Indekeu JO, Koga K, Hooyberghs H,
et al., 2013, Renormalization group calculations for wetting transitions of infinite order and continuously varying order: Local interface Hamiltonian approach, *PHYSICAL REVIEW E*, Vol: 88, ISSN: 1539-3755

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- Citations: 3

Malijevsky A, Parry AO, 2013, Density functional study of complete, first-order and critical wedge filling transitions, *JOURNAL OF PHYSICS-CONDENSED MATTER*, Vol: 25, ISSN: 0953-8984

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- Citations: 16

Rascon C, Parry AO, Nuernberg R,
et al., 2013, The order of condensation in capillary grooves, *JOURNAL OF PHYSICS-CONDENSED MATTER*, Vol: 25, ISSN: 0953-8984

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- Citations: 15

Malijevsky A, Parry AO, 2013, Critical Point Wedge Filling, *PHYSICAL REVIEW LETTERS*, Vol: 110, ISSN: 0031-9007

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- Citations: 29

Manuel Romero-Enrique J, Rodriguez-Rivas A, Rull LF,
et al., 2013, A finite-size scaling study of wedge filling transitions in the 3D Ising model, *SOFT MATTER*, Vol: 9, Pages: 7069-7075, ISSN: 1744-683X

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- Citations: 3

Roth R, Parry AO, 2012, Geometrical Aspects of Drying in a Capped Capillary: a DFT Study, *JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN*, Vol: 81, ISSN: 0031-9015

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- Citations: 1

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