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This chapter deals with various aspects related to the adsorption of long chain-like macromolecules (polymers) onto solid surfaces. Physical aspects of the adsorption mechanism are elaborated mainly at thermodynamical equilibrium. The basic…

Soft Condensed Matter · Physics 2007-05-23 David Andelman , Roland R. Netz

We study the interplay between wetting and miscibility of a symmetric polymer mixture via MC simulations and SCF calculations. The film surfaces interact with the monomers via short ranged potentials and the wetting transition is of first…

Soft Condensed Matter · Physics 2007-05-23 Marcus Mueller , Kurt Binder

We solve a model of self-avoiding walks with up to two monomers per site on the Bethe lattice. This model, inspired on the Domb-Joyce model, was recently proposed to describe the collapse transition observed in interacting polymers [J.…

Statistical Mechanics · Physics 2009-11-11 Pablo Serra , Juergen F. Stilck

We investigate the phase diagram of a dimerized Bose-Hubbard model, using density matrix renormalization group technique. We find a new phase, which is the coexistence of superfluid and bond-wave phases, due to the effect of dimerization.…

Quantum Gases · Physics 2009-11-13 Anasuya Kundu , Swapan K Pat

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

In the present work, the cyclic polymer chains (rings) in structurally disordered environment (e.g. in the cross-linked polymer gel) are studied exploiting the model of closed self-avoiding walks (SAWs) trajectories on $d=3$-dimensional…

Soft Condensed Matter · Physics 2020-11-04 K. Haydukivska , V. Blavatska

We present the global phase diagram of the extended boson Hubbard model on a simple cubic lattice by quantum Monte Carlo simulation with worm update algorithm. Four kinds of phases are supported by this model, including superfluid,…

Quantum Gases · Physics 2015-05-28 Bin Xi , Fei Ye , Weiqiang Chen , Fuchun Zhang , Gang Su

We classify phases of a bosonic lattice model based on the computational complexity of classically simulating the system. We show that the system transitions from being classically simulable to classically hard to simulate as it evolves in…

We present an analysis of a partially directed walk model of a polymer which at one end is tethered to a sticky surface and at the other end is subjected to a pulling force at fixed angle away from the point of tethering. Using the kernel…

Soft Condensed Matter · Physics 2015-05-19 Judy-anne Osborn , Thomas Prellberg

Coagulation-flocculation, the physicochemical process widely used for purification a wastewater, is affected both by chemical details of involved polymers and by the statistics of their conformations on a large scale. The latter aspect is…

Soft Condensed Matter · Physics 2024-07-23 V. Blavatska , Ja. Ilnytskyi , E. Lähderanta

We analyze nonequilibrium lattice models with up-down symmetry and two absorbing states by mean-field approximations and numerical simulations in two and three dimensions. The phase diagram displays three phases: paramagnetic, ferromagnetic…

Statistical Mechanics · Physics 2015-06-23 Áttila L. Rodrigues , Christophe Chatelain , Tânia Tomé , Mário J. De Oliveira

Transfer-matrix methods on finite-width strips with free boundary conditions are applied to lattice site animals, which provide a model for randomly branched polymers in a good solvent. By assigning a distinct fugacity to sites along the…

Condensed Matter · Physics 2009-10-28 S L A de Queiroz

A two-dimensional square-lattice model for the formation of secondary structures in proteins, the hydrogen-bonding model, is extended to include the effects of solvent quality. This is achieved by allowing configuration-dependent…

Statistical Mechanics · Physics 2009-11-13 D P Foster , C Pinettes

We consider a model of self-avoiding walk on a lattice with on-site repulsion and an attraction for every vertex of the walk visited on the surface to study force-induced desorption of a linear polymer chain adsorbed on an attractive…

Statistical Mechanics · Physics 2007-05-23 P. K. Mishra , Sanjay Kumar , Yashwant Singh

In detailed microcanonical analyses of densities of states obtained by extensive multicanonical Monte Carlo computer simulations, we investigate the caloric properties of conformational transitions adsorbing polymers experience near…

Statistical Mechanics · Physics 2019-03-27 Monika Möddel , Wolfhard Janke , Michael Bachmann

Mean field analysis of the effective interfacial Hamiltonian shows that with increasing temperature the adsorption on a periodically corrugated substrate can proceed in two steps: first, there is the filling transition in which the…

Statistical Mechanics · Physics 2009-10-31 K. Rejmer , M. Napiorkowski

We investigate the phase diagram of disordered copolymers at the interface between two selective solvents, and in particular its weak-coupling behavior, encoded in the slope $m_c$ of the critical line at the origin. In mathematical terms,…

Probability · Mathematics 2008-11-25 T. Bodineau , G. Giacomin , H. Lacoin , F. Toninelli

The subject of this work is the adsorption transition of a long flexible self-avoiding polymer chain onto a rigid thin rod. The rod is represented by a cylinder of radius R with a short-ranged attractive surface potential for the chain…

Statistical Mechanics · Physics 2009-11-11 Andreas Hanke

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

Hydrophobic interactions are central to biological self-assembly and soft matter organization, yet their microscopic origins remain debated. A key hallmark is the strengthening of attraction between hydrophobic solutes with increasing…

Soft Condensed Matter · Physics 2025-09-25 Nigel B. Wilding , Francesco Turci