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Stimulated by experimental evidence in the field of solution--born thin films, we study the morphology formation in a three state lattice system subjected to the evaporation of one component. The practical problem that we address is the…

Film formation from solvent evaporation in polymer ternary solutions is relevant for several technological applications, such as the fabrication of organic solar cells. The performance of the final device will strongly depend on the…

Soft Condensed Matter · Physics 2025-03-18 Emilio N. M. Cirillo , Nicklas Jävergård , Rainey Lyons , A. Muntean , S. A. Muntean

We study a nonlinear coupled parabolic system with non-local drift terms modeling at the continuum level the inter-species interaction within a ternary mixture that allows the evaporation of one of the species. In the absence of…

Analysis of PDEs · Mathematics 2023-11-17 Rainey Lyons , Emilio N. M. Cirillo , Adrian Muntean

Our interest lies in exploring the ability of a coupled nonlocal system of two quasilinear parabolic partial differential equations to produce phase separation patterns. The obtained patterns are referred here as morphologies. Our target…

Statistical Mechanics · Physics 2023-08-09 Rainey Lyons , Stela Andrea Muntean , Emilio N. M. Cirillo , Adrian Muntean

We develop a mesoscopic lattice model to study the morphology formation in interacting ternary mixtures with evaporation of one component. As concrete application of our model, we wish to capture morphologies as they are typically arising…

The internal structure of adhesive tapes determines the effective mechanical properties. This holds true especially for blended systems, here consisting of acrylate and rubber phases. In this note, we propose a lattice-based model to study…

Soft Condensed Matter · Physics 2023-05-30 Vi Cecilia Erik Kronberg , Stela Andrea Muntean , Nils Hendrik Kröger , Adrian Muntean

Off-equilibrium dynamics of a three-dimensional lattice model with nearest- and next nearest-neighbors exclusions is studied. At equilibrium, the model undergoes a first-order fluid-solid transition. Non-equilibrium filling, through random…

Statistical Mechanics · Physics 2015-05-30 H. Levit , Z. Rotman , E. Eisenberg

Solvent-based techniques usually involve preparing dilute blends of electron-donor and electron-acceptor materials dissolved in a volatile solvent. After some form of coating onto a substrate, the solvent evaporates. An initially…

Mesoscale and Nanoscale Physics · Physics 2012-03-01 Olga Wodo , Baskar Ganapathysubramanian

In numerous solution-processed thin films, a complex morphology resulting from liquid-liquid phase separation (LLPS) or from polycrystallization arises during the drying or subsequent processing steps. The morphology has a strong influence…

Applied Physics · Physics 2022-06-28 Olivier J. J. Ronsin , Jens Harting

We pose the problem of metastability for a three--state spin system with conservative dynamics. We consider the Blume--Capel model with the Kawasaki dynamics, we prove that, in a particular region of the parameter plane, the metastable…

Probability · Mathematics 2024-05-16 Vanessa Jacquier , Emilio Nicola Maria Cirillo , Cristian Spitoni

In the present contribution we review basic mathematical results for three physical systems involving self-organising solid or liquid films at solid surfaces. The films may undergo a structuring process by dewetting,…

Other Condensed Matter · Physics 2010-10-15 Uwe Thiele

Using a phase field crystal model we study the structure and dynamics of a drop of colloidal suspension during evaporation of the solvent. We model an experimental system where contact line pinning of the drop on the substrate is…

Soft Condensed Matter · Physics 2012-09-06 Nirmalendu Ganai , Arnab Saha , Surajit Sengupta

We use a lattice Boltzmann method to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by…

Soft Condensed Matter · Physics 2009-11-11 K. Furtado , J. M. Yeomans

The morphology of crystalline thin films evolving on flat rigid substrates by condensation of extra film atoms or by evaporation of their own atoms in the surrounding vapor is studied in the framework of the theory of Stress Driven…

Analysis of PDEs · Mathematics 2024-11-05 Paolo Piovano , Francesco Sapio

We investigate lamellar three-phase patterns that form during the directional solidification of ternary eutectic alloys in thin samples. A distinctive feature of this system is that many different geometric arrangements of the three phases…

Materials Science · Physics 2015-05-27 Abhik Choudhury , Mathis Plapp , Britta Nestler

There is a growing interest, inspired by advances in technology, in the low temperature physics of thin films. These quasi-2D systems show a wide range of ordering effects including formation of striped states, reorientation transitions,…

Statistical Mechanics · Physics 2009-11-13 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

A phase-separation front will leave in its wake a phase-separated morphology that differs markedly from homogeneous phase-separation morphologies. For a purely diffusive system such a front, moving with constant velocity, will generate very…

Soft Condensed Matter · Physics 2013-05-30 E. M. Foard , A. J. Wagner

The osmotic equation of state for the athermal bond fluctuation model on the simple cubic lattice is obtained from extensive Monte Carlo simulations. For short macromolecules (chain length N=20) we study the influence of various choices for…

Soft Condensed Matter · Physics 2009-11-13 V. A. Ivanov , E. A. An , L. A. Spirin , M. R. Stukan , M. Mueller , W. Paul , K. Binder

Kinetics of phase separation in a three dimensional single-component Lennard-Jones fluid, that exhibits vapor-liquid transition, is studied via molecular dynamics simulations after quenching homogeneous systems, of different overall…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , Subir K. Das

The performance of solution-processed solar cells strongly depends on the geometrical structure and roughness of the photovoltaic layers formed during film drying. During the drying process, the interplay of crystallization and…

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