Publications
215 results found
Pradas M, Kalliadasis S, Nguyen P-K, et al., 2013, Bound-state formation in interfacial turbulence: direct numerical simulations and theory, JOURNAL OF FLUID MECHANICS, Vol: 716, ISSN: 0022-1120
Yatsyshin P, Savva N, Kalliadasis S, 2013, Geometry-induced phase transition in fluids: Capillary prewetting, Phys Rev E Stat Nonlin Soft Matter Phys, Vol: 87
We report a new first-order phase transition preceding capillary condensation and corresponding to the discontinuous formation of a curved liquid meniscus. Using a mean-field microscopic approach based on the density functional theory we compute the complete phase diagram of a prototypical two-dimensional system exhibiting capillary condensation, namely that of a fluid with long-ranged dispersion intermolecular forces which is spatially confined by a substrate forming a semi-infinite rectangular pore exerting long-ranged dispersion forces on the fluid. In the T-μ plane the phase line of the new transition is tangential to the capillary condensation line at the capillary wetting temperature T_{cw}. The surface phase behavior of the system maps to planar wetting with the phase line of the new transition, termed capillary prewetting, mapping to the planar prewetting line. If capillary condensation is approached isothermally with T>T_{cw}, the meniscus forms at the capping wall and unbinds continuously, making capillary condensation a second-order phenomenon. We compute the corresponding critical exponent for the divergence of adsorption.
Goddard BD, Nold A, Savva N, et al., 2013, Unification of dynamic density functional theory for colloidal fluids to include inertia and hydrodynamic interactions: derivation and numerical experiments, JOURNAL OF PHYSICS-CONDENSED MATTER, Vol: 25, ISSN: 0953-8984
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- Citations: 50
Krumscheid S, Pavliotis GA, Kalliadasis S, 2013, SEMIPARAMETRIC DRIFT AND DIFFUSION ESTIMATION FOR MULTISCALE DIFFUSIONS, Multiscale Modeling & Simulation, Vol: 11, Pages: 442-473, ISSN: 1540-3467
Goddard BD, Nold A, Savva N, et al., 2013, Inertia and hydrodynamic interactions in dynamical density functional theory, Springer Proceedings in Complexity, Pages: 999-1004
We study the dynamics of a colloidal fluid in the full position-momentum phase space, including hydrodynamic interactions, which strongly influence the non-equilibrium properties of the system. For large systems, the number of degrees of freedom prohibits direct simulation and a reduced model is necessary. Under standard assumptions, we derive a dynamical density functional theory (DDFT), which is a generalisation of many existing DDFTs, and shows good agreement with stochastic simulations.
Sibley DN, Nold A, Savva N, et al., 2013, On the moving contact line singularity: Asymptotics of a diffuse-interface model, European Physical Journal E, Vol: 36
Goddard BD, Nold A, Kalliadasis S, 2013, Multi-species dynamical density functional theory, J. Chem. Phys., Vol: 138
Pradas M, Kalliadasis S, Nguyen P-K, et al., 2013, Bound state formation and self-organization in Interfacial Turbulence, European Conference of Complex Systems 2012 (ECCS'12), Publisher: Springer Proceedings in Complexity, Pages: 1011-1016
Schmuck M, Pavliotis GA, Kalliadasis S, 2013, Effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media, European Conference of Complex Systems 2012 (ECCS'12), Publisher: Springer Proceedings in Complexity 2013, Pages: 1005-1010
Schmuck M, Pradas M, Pavliotis GA, et al., 2012, Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 468, Pages: 3705-3724, ISSN: 1364-5021
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- Citations: 24
Pradas M, Pavliotis GA, Kalliadasis S, et al., 2012, Additive noise effects in active nonlinear spatially extended systems, EUROPEAN JOURNAL OF APPLIED MATHEMATICS, Vol: 23, Pages: 563-591, ISSN: 0956-7925
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- Citations: 19
Goddard BD, Nold A, Savva N, et al., 2012, General dynamical density functional theory for classical fluids, PHYSICAL REVIEW LETTERS, Vol: 109, ISSN: 0031-9007
We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the nonequilibrium properties of the system. We derive a general dynamical density functional theory which shows very good agreement with full Langevin dynamics. In suitable limits, we recover existing dynamical density functional theories and a Navier-Stokes-like equation with additional nonlocal terms.
De Wit A, Eckert K, Kalliadasis S, 2012, Introduction to the Focus Issue: Chemo-Hydrodynamic Patterns and Instabilities, CHAOS, Vol: 22, ISSN: 1054-1500
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- Citations: 35
Sibley DN, Savva N, Kalliadasis S, 2012, Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system, Physics of Fluids, Vol: 24
Pradas M, Kalliadasis S, Tseluiko D, 2012, Binary interactions of solitary pulses in falling liquid films, IMA JOURNAL OF APPLIED MATHEMATICS, Vol: 77, Pages: 408-419, ISSN: 0272-4960
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- Citations: 17
Riolfo LA, Carballido-Landeira J, Bounds CO, et al., 2012, Experimental reaction-driven liquid film fingering instability, CHEMICAL PHYSICS LETTERS, Vol: 534, Pages: 13-18, ISSN: 0009-2614
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- Citations: 13
Ruyer-Quil C, Kalliadasis S, 2012, Wavy regimes of film flow down a fiber, PHYSICAL REVIEW E, Vol: 85, ISSN: 1539-3755
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- Citations: 39
Savva N, Kalliadasis S, 2012, Influence of gravity on the spreading of two-dimensional droplets over topographical substrates, JOURNAL OF ENGINEERING MATHEMATICS, Vol: 73, Pages: 3-16, ISSN: 0022-0833
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- Citations: 19
Yatsyshin P, Savva N, Kalliadasis S, 2012, Spectral methods for the equations of classical density-functional theory: Relaxation dynamics of microscopic films, JOURNAL OF CHEMICAL PHYSICS, Vol: 136, ISSN: 0021-9606
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- Citations: 35
Wylock C, Pradas M, Haut B, et al., 2012, Disorder-induced hysteresis and nonlocality of contact line motion in chemically heterogeneous microchannels, PHYSICS OF FLUIDS, Vol: 24, ISSN: 1070-6631
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- Citations: 26
Pereira A, Kalliadasis S, 2012, Equilibrium gas-liquid-solid contact angle from density-functional theory, JOURNAL OF FLUID MECHANICS, Vol: 692, Pages: 53-77, ISSN: 0022-1120
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- Citations: 24
Kalliadasis S, Ruyer-Quil C, Scheid B, et al., 2012, Falling Liquid Films, London, Publisher: Springer Series on Applied Mathematical Sciences, ISBN: 9781848823662
Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar ...
Trevelyan PMJ, Pereira A, Kalliadasis S, 2012, Dynamics of a Reactive Thin Film, MATHEMATICAL MODELLING OF NATURAL PHENOMENA, Vol: 7, Pages: 99-145, ISSN: 0973-5348
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- Citations: 4
Goddard BD, Pavliotis GA, Kalliadasis S, 2012, The overdamped limit of dynamic density functional theory: Rigorous results, MULTISCALE MODELING & SIMULATION, Vol: 10, Pages: 633-663, ISSN: 1540-3459
Consider the overdamped limit for a system of interacting particles in thepresence of hydrodynamic interactions. For two-body hydrodynamic interactionsand one- and two-body potentials, a Smoluchowski-type evolution equation isrigorously derived for the one-particle distribution function. This newequation includes a novel definition of the diffusion tensor. A comparison withexisting formulations of dynamic density functional theory is also made.
Nguyen P-K, Pradas M, Kalliadasis S, et al., 2012, Bound-state formation in falling liquid films, Budapest, Conference on Modelling Fluid Flow (CMFF'12), Pages: 552-559
Vellingiri R, Savva N, Kalliadasis S, 2011, Droplet spreading on chemically heterogeneous substrates, PHYSICAL REVIEW E, Vol: 84, ISSN: 1539-3755
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- Citations: 50
Vellingiri R, Savva N, Kalliadasis S, 2011, Droplet spreading on chemically heterogeneous substrates., Phys Rev E Stat Nonlin Soft Matter Phys, Vol: 84
Consider the spreading dynamics of a two-dimensional droplet over chemically heterogeneous substrates. Assuming small slopes and strong surface tension effects, a long-wave expansion of the Stokes equations yields a single evolution equation for the droplet thickness. The contact line singularity is removed by assuming slip at the liquid-solid interface. The chemical nature of the substrate is incorporated by local variations in the microscopic contact angle, which appear as boundary conditions in the governing equation. By asymptotically matching the flow in the bulk of the droplet with the flow in the vicinity of the contact lines, we obtain a set of coupled ordinary differential equations for the locations of the two droplet fronts. We verify the validity of our matching procedure by comparing the solutions of the ordinary differential equations with solutions of the full governing equation. The droplet dynamics is examined in detail via a phase-plane analysis. A number of interesting features that are not present in chemically homogeneous substrates are found, such as the existence of multiple equilibria, the pinning of the droplet fronts at localized chemical features, and the possibility for the droplet fronts to exhibit a stick-slip behavior.
Nold A, Malijevsky A, Kalliadasis S, 2011, Wetting on a spherical wall: Influence of liquid-gas interfacial properties, PHYSICAL REVIEW E, Vol: 84, ISSN: 1539-3755
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- Citations: 17
Kalliadasis S, Thiele U, 2011, Discussion Notes on "Measures of wettability of solid surfaces", by A. Marmur Dynamics of drops and films on heterogeneous substrates, EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, Vol: 197, Pages: 199-200, ISSN: 1951-6355
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