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We study the dynamics of flexible, semiflexible, and self-avoiding polymer chains moving under a Kramers metastable potential. Due to thermal noise, the polymers, initially placed in the metastable well, can cross the potential barrier, but…

Soft Condensed Matter · Physics 2013-12-05 Jaeoh Shin , Timo Ikonen , Mahendra D. Khandkar , Tapio Ala-Nissila , Wokyung Sung

We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic,…

Statistical Mechanics · Physics 2024-05-14 Kamilla Faizullina , Evgeni Burovski

We have performed chain-growth simulations of minimalistic hybrid lattice models for polymers interacting with interfaces of attractive solid substrates in order to gain insights into the conformational transitions of the polymers in the…

Soft Condensed Matter · Physics 2011-07-04 Michael Bachmann , Wolfhard Janke

The collapse and swelling behavior of a generic homopolymer is studied using implicit-solvent, explicit-cosolvent Langevin dynamics computer simulations for varying interaction strengths. The systematic investigation reveals that polymer…

Soft Condensed Matter · Physics 2012-11-06 Anja Muzdalo , Jan Heyda , Joachim Dzubiella

We investigate the effect of polydispersity on fluctuation-induced interactions between colloids trapped at a fluid interface. Using the scattering-matrix formalism, we calculate the interaction energy in two- and three-body systems under…

Soft Condensed Matter · Physics 2025-12-12 Seyed Emad Mousavi , Ehsan Noruzifar

We perform a numerical study of a new microcanonical polymer model on the three dimensional cubic lattice, consisting of ideal chains whose range and number of nearest-neighbor contacts are fixed to given values. Our simulations suggest an…

Statistical Mechanics · Physics 2025-07-09 Simone Franchini , Riccardo Balzan

In this article, we consider the number of collisions of three independent simple random walks on a subgraph of the two-dimensional square lattice obtained by removing all horizontal edges with vertical coordinate not equal to 0 and then,…

Probability · Mathematics 2024-10-08 David A. Croydon , Umberto De Ambroggio

We explain a unified approach to a study of ballistic phase for a large family of self-interacting random walks with a drift and self-interacting polymers with an external stretching force. The approach is based on a recent version of the…

Probability · Mathematics 2011-08-25 Dmitry Ioffe , Yvan Velenik

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 study a lattice model of a single magnetic polymer chain, where Ising spins are located on the sites of a lattice self-avoiding walk in $d=2$. We consider the regime where both conformations and magnetic degrees of freedom are dynamic,…

Statistical Mechanics · Physics 2021-11-17 Kamilla Faizullina , Ilya Pchelintsev , Evgeni Burovski

The equilibrium properties of the lattice fluid with the repulsion between the nearest neighbors on the two-level planar triangular lattice are investigated. The numerical results obtained from the analytical expressions are compared with…

Soft Condensed Matter · Physics 2022-03-29 Ya. G. Groda

The phase structure of a homopolymer chain is investigated in terms of a universal theoretical model, designed to describe the infrared limit of slow spatial variations. The effects of chirality are studied and compared with the influence…

Soft Condensed Matter · Physics 2015-12-25 A. Sinelnikova , A. J. Niemi , M. Ulybyshev

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

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

The phase structure of self-avoiding polymerized membranes is studied by extensive Hybrid Monte Carlo simulations. Several folding transitions from the flat to a collapsed state are found. Using a suitable order parameter and finite size…

Condensed Matter · Physics 2009-10-28 Christian Münkel , Dieter W. Heermann

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 investigate the existence and location of the surface phase known as the "Surface-Attached Globule" (SAG) conjectured previously to exist in lattice models of three-dimensional polymers when they are attached to a wall that has a short…

Soft Condensed Matter · Physics 2009-11-13 A. L. Owczarek , A. Rechnitzer , J. Krawczyk , T. Prellberg

We present improved simulations of three-dimensional self avoiding walks with one end attached to an impenetrable surface on the simple cubic lattice. This surface can either be a-thermal, having thus only an entropic effect, or attractive.…

Soft Condensed Matter · Physics 2009-11-10 Peter Grassberger

We study a contact process with creation at first- and second-neighbor sites and inhibition at first neighbors, in the form of an annihilation rate that increases with the number of occupied first neighbors. Mean-field theory predicts three…

Statistical Mechanics · Physics 2011-07-05 Marcelo Martins de Oliveira , Ronald Dickman

We study a classical model of fully-packed loops on the square lattice, which interact through attractive loop segment interactions between opposite sides of plaquettes. This study is motivated by effective models of interacting quantum…

Strongly Correlated Electrons · Physics 2023-09-08 Bhupen Dabholkar , Xiaoxue Ran , Junchen Rong , Zheng Yan , G. J. Sreejith , Zi Yang Meng , Fabien Alet
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