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Self-avoiding walks (SAWs) were introduced in chemistry to model the real-life behavior of chain-like entities such as solvents and polymers, whose physical volume prohibits multiple occupation of the same spatial point. In mathematics, a…

Data Structures and Algorithms · Computer Science 2013-10-01 Franc Brglez

We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

Statistical Mechanics · Physics 2023-08-15 M. Ali Saif

We formulate and characterize a model to describe the dynamics of semiflexible polymers in the presence of activity due to motor proteins attached irreversibly to a substrate, and a transverse pulling force acting on one end of the…

Biological Physics · Physics 2016-02-12 Abhishek Chaudhuri , Debasish Chaudhuri

We employ a three-dimensional molecular dynamics to simulate translocation of a polymer through a nanopore driven by an external force. The translocation is investigated for different three pore diameter and two different external forces.…

Computational Physics · Physics 2019-12-03 Mohammadreza Niknam Hamidabad , Rouhollah Haji Abdolvahab

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer lattice-gas of interacting monomers adsorbed on one-dimensional channels arranged in a triangular…

Strongly Correlated Electrons · Physics 2009-11-11 P. M. Pasinetti , F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

We study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1…

Statistical Mechanics · Physics 2009-11-10 Sumedha

In this paper, we study boundary-induced phase transitions in a particle non-conserving asymmetric simple exclusion process with open boundaries. Using boundary layer analysis, we show that the key signatures of various bulk phase…

Statistical Mechanics · Physics 2009-11-11 Sutapa Mukherji , Vivek Mishra

We solve the problem of a chain, modeled as a self-avoiding walk, grafted o the wall limiting a semi-infinite Bethe lattice of arbitrary coordination number q. In particular, we determine the pressure exerted by the polymer on the wall, as…

Statistical Mechanics · Physics 2015-01-21 Rafael Mynssem Brum , Jurgen F. Stilck

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

Within self-consistent field theory we study the phase behaviour of a symmetric binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder , E. V. Albano

The phase diagram of the collapse of a two-dimensional infinite branched polymer interacting with the solvent and with itself through contact interactions is studied from the $q\to 1$ limit of an extension of the $q-$ states Potts model.…

Condensed Matter · Physics 2009-10-28 Malte Henkel , Flavio Seno

We report results of a theoretical study on an adsorbate induced surface reconstruction. Hydrogen adsorption on a W(100) surface causes a switching transition in the symmetry of the displacements of the W atoms within the ordered c(2x2)…

Condensed Matter · Physics 2009-10-22 Kari Kankaala , Tapio Ala-Nissila , See-Chen Ying

The critical point of the condensation transition for linear molecules adsorbed on square lattices, was studied by using an adaptation of the Histogram Reweighting technique. The results were obtained by means of grand canonical Monte Carlo…

Statistical Mechanics · Physics 2017-03-29 G. J. dos Santos , D. H. Linares , A. J. Ramirez-Pastor

In a contact density chain-growth study we investigate the solubility-temperature pseudo-phase diagram of a lattice polymer in a cavity with an attractive surface. In addition to the main phases of adsorbed and desorbed conformations we…

Soft Condensed Matter · Physics 2009-11-13 Michael Bachmann , Wolfhard Janke

Dilute or semi-dilute solutions of non-intersecting self-avoiding walk (SAW) polymer chains are mapped onto a fluid of ``soft'' particles interacting via an effective pair potential between their centers of mass. This mapping is achieved by…

Soft Condensed Matter · Physics 2009-10-31 P. G. Bolhuis , A. A. Louis , J. P. Hansen , E. J. Meijer

We study the interacting self-avoiding trail (ISAT) model on a Bethe lattice of general coordination $q$ and on a Husimi lattice built with squares and coordination $q=4$. The exact grand-canonical solutions of the model are obtained,…

Statistical Mechanics · Physics 2016-01-29 Tiago J. Oliveira , Jurgen F. Stilck

We obtain the solution of models of self-avoiding walks with attractive interactions on Husimi lattices built with squares. Two attractive interactions are considered: between monomers on first-neighbor sites and not consecutive along a…

Statistical Mechanics · Physics 2009-11-10 Pablo Serra , Juergen F. Stilck , Welchy L. Cavalcanti , Kleber D. Machado

We use Brownian dynamics simulations and analytical theory to compare two prominent types of single molecule transitions. One is the adsorption transition of a loop (a chain with two ends bound to an attractive substrate) driven by an…

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto

We study the polymer system consisting of two polymer chains situated in a fractal container that belongs to the three--dimensional Sierpinski Gasket (3D SG) family of fractals. Each 3D SG fractal has four fractal impenetrable 2D surfaces,…

Statistical Mechanics · Physics 2008-04-18 Ivan Zivic , Suncica Elezovic-Hadzic , Sava Milosevic