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In this paper, we investigate a model for a $1+1$ dimensional self-interacting and partially directed self-avoiding walk, usually referred to by the acronym IPDSAW. The interaction intensity and the free energy of the system are denoted by…

Probability · Mathematics 2015-07-29 P. Carmona , G. B. Nguyen , N. Pétrélis

We show that the structural properties and phase behavior of a self-avoiding polymer chain on adhesive substrate, subject to pulling at the chain end, can be obtained by means of a Grand Canonical Ensemble (GCE) approach. We derive…

Soft Condensed Matter · Physics 2009-04-05 S. Bhattacharya , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

We study the phase behavior of diblock copolymers in presence of an external electric field. We employ self-consistent field theory and treat the relevant Maxwell equation as an additional self-consistent equation. Because we do not treat…

Soft Condensed Matter · Physics 2008-06-23 Chin-Yet Lin , Michael Schick , David Andelman

We study AB$_n$ miktoarm star block copolymers in the strong segregation limit, focussing on the role that the AB interface plays in determining the phase behavior. We develop an extension of the kinked-path approach which allows us to…

Soft Condensed Matter · Physics 2007-05-23 Gregory M. Grason , Randall D. Kamien

A phenomenological mean-field theory is used to investigate the properties of solvent-diluted di-block copolymers (BCP), in which the two BCP components (A and B) form a variety of phases that are diluted by a solvent (S). Using this…

Soft Condensed Matter · Physics 2014-04-22 Shai Cohen , David Andelman

The self-assembly of block copolymers containing rigid blocks have received abiding attention due to its rich phase behavior and potential for use in a variety of applications. In this work, under asymmetric interactions between rod/coil…

Soft Condensed Matter · Physics 2021-01-20 X. -G. Han , N. Liang , H. Zhang

We investigated the influence of short- and long-range correlated quenched disorder introduced into the medium on the process of adsorption of long-flexible polymer chains on a wall by using the field theoretical approach in $d=4-\epsilon$…

Disordered Systems and Neural Networks · Physics 2007-05-23 Z. Usatenko , A. Ciach

We investigate the adsorption of a flexible polymer at a hexagonally patterned monolayer. All conformational polymer phases are identified, which enables the construction of a hyperphase diagram, parameterized by temperature and monolayer…

Soft Condensed Matter · Physics 2019-12-03 Benjamin Liewehr , Michael Bachmann

We study analytically and by means of an off-lattice bead-spring dynamic Monte Carlo simulation model the adsorption kinetics of a single macromolecule on a structureless flat substrate in the regime of strong physisorption. The underlying…

Soft Condensed Matter · Physics 2008-06-27 S. Bhattacharya , A. Milchev , V. G. Rostiashvili , A. Y. Grosberg , T. A. Vilgis

We present few ordering mechanisms in block copolymer melts in the coarse-graining approach. For chemically homogeneous or modulated confining surfaces, the surface ordering is investigated above and below the order-disorder temperature. In…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman

We study uniform 3-star polymers with one branch tethered to an attractive surface and another branch pulled by a force away from the surface. Each branch of the 3-star lattice is modelled as a self-avoiding walk on the simple cubic lattice…

Statistical Mechanics · Physics 2019-05-30 C J Bradly , A L Owczarek

We propose a theoretical investigation of the physical adsorption of neutral comb-polymers with an adsorbing skeleton and non-adsorbing side-chains on a flat surface. Such polymers are particularly interesting as "dynamic coating" matrices…

Soft Condensed Matter · Physics 2009-11-11 Anna Sartori , Albert Johner , Jean-Louis Viovy , Jean-Francois Joanny

The derivation of density functional energies from the random phase approximation of self-consistent mean field theory is generalized and applied to a binary blend of diblock copolymers and homopolymers. A nonlocal transformation is…

Soft Condensed Matter · Physics 2023-07-04 Sulin Wang , Yuan Chen , Zengqiang Tan , Keith Promislow

This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges…

Probability · Mathematics 2015-06-05 Frank den Hollander , Alex A. Opoku

We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric constraints on the ends of the polymer and…

Statistical Mechanics · Physics 2009-11-11 R Brak , A L Owczarek , A Rechnitzer , S G Whittington

The depletion interaction between two parallel repulsive walls confining a dilute solution of long and flexible polymer chains is studied by field-theoretic methods. Special attention is paid to self-avoidance between chain monomers…

Soft Condensed Matter · Physics 2009-11-07 F. Schlesener , A. Hanke , R. Klimpel , S. Dietrich

We perform numerical simulations of isolated, partially active polymers, driven out-of-equilibrium by a fraction of their monomers. We show that, if the active beads are all gathered in a contiguous block, the position of the section along…

Soft Condensed Matter · Physics 2023-09-04 Marin Vatin , Sumanta Kundu , Emanuele Locatelli

A machine learning approach is presented to accelerate the computation of block polymer morphology evolution for large domains over long timescales. The strategy exploits the separation of characteristic times between coarse-grained…

Chemical Physics · Physics 2023-09-01 Hyun Park , Boyuan Yu , Juhae Park , Ge Sun , Emad Tajkhorshid , Juan J. de Pablo , Ludwig Schneider

Force field have for decades proven to be an indispensable tool for molecular simulations which are out of reach for ab-initio methods. Recent efforts to improve the accuracy of these simulations have focused on the inclusion of many-body…

Chemical Physics · Physics 2020-06-26 Ruben Goeminne , Toon Verstraelen

We propose a systematic coarse-grained representation of block copolymers, whereby each block is reduced to a single ``soft blob'' and effective intra- as well as intermolecular interactions act between centres of mass of the blocks. The…

Soft Condensed Matter · Physics 2009-11-11 C. I. Addison , J. P. Hansen , V. Krakoviack , A. A. Louis
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