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We investigate the aggregation transition of theta polymers in spherical confinement with multicanonical simulations. This allows for a systematic study of the effect of density on the aggregation transition temperature for up to 24…

软凝聚态物质 · 物理学 2014-12-04 Johannes Zierenberg , Marco Mueller , Philipp Schierz , Martin Marenz , Wolfhard Janke

We study self-avoiding walks on the square lattice restricted to a square box of side $L$ weighted by a length fugacity without restriction of their end points. This models a confined polymer in dilute solution. The model admits a phase…

统计力学 · 物理学 2022-07-22 C. J. Bradly , A. L. Owczarek

Exact results for the scaling properties of compact polymers on the square lattice are obtained from an effective field theory. The entropic exponent \gamma=117/112 is calculated, and a line of fixed points associated with interacting…

统计力学 · 物理学 2009-10-31 Jane' Kondev , Jesper L. Jacobsen

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

统计力学 · 物理学 2010-02-23 Pramod Kumar Mishra

In order to study long chain polymers many lattice models accommodate a pulling force applied to a particular part of the chain, often a free endpoint. This is in addition to well-studied features such as energetic interaction between the…

统计力学 · 物理学 2023-07-19 C. J. Bradly , A. L. Owczarek

We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

统计力学 · 物理学 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

We investigate the folding and forced-unbinding transitions of adsorbed semiflexible polymer chains using theory and simulations. These processes describe biologically relevant phenomena that include adhesive interactions between proteins…

软凝聚态物质 · 物理学 2007-05-23 V. Barsegov , D. Thirumalai

We investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a homogeneous short-range interaction, the collapse transition is…

软凝聚态物质 · 物理学 2009-11-13 J Krawczyk , AL Owczarek , T Prellberg

By simulating the first order globule-crystal transition of a flexible homopolymer chain, both by collision dynamics and Monte Carlo with non-kinetic moves, we show that the effective and the thermodynamic transition temperatures are…

软凝聚态物质 · 物理学 2017-08-23 S. Ruzicka , D. Quigley , M. P. Allen

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

统计力学 · 物理学 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

Using the language of the Flory chi parameter, we develop a theory that unifies the treatment of the single-chain structure and the solution thermodynamics of polymers in poor solvents. The structure of a globule and its melting…

软凝聚态物质 · 物理学 2015-06-19 Rui Wang , Zhen-Gang Wang

We study the translocation of a flexible polymer through a pore in a membrane induced by its adsorption on \trans side of the membrane. When temperature $T$ is higher than $T_c$, the adsorption-desorption transition temperature, attractive…

软凝聚态物质 · 物理学 2009-10-31 Pyeong Jun Park , Wokyung Sung

The plaquette phase of the square lattice quantum dimer model is studied using a continuous-time reptation quantum Monte Carlo method for lattices of sizes up to 48x48 sites. We determine the location of the phase transition between the…

强关联电子 · 物理学 2007-05-23 Olav F. Syljuasen

We study the phase behavior of single homopolymers in a simple hydrophobic/hydrophilic off-lattice model with sequence independent local interactions. The specific heat is, not unexpectedly, found to exhibit a pronounced peak well below the…

软凝聚态物质 · 物理学 2009-10-31 Anders Irbäck , Erik Sandelin

We investigate the collapse and expansion dynamics of a linear polyelectrolyte (PE) with hydrodynamic interactions. Using dissipative particle dynamics with a bead-spring PE model, long-range electrostatics and explicit ions we examine how…

软凝聚态物质 · 物理学 2024-05-24 Jiaxing Yuan , Tine Curk

Based on transfer matrix techniques and finite size scaling, we study the oriented polymer (self-avoiding walk) with nearest neighbor interaction. In the repulsive regime, various critical exponents are computed and compared with exact…

凝聚态物理 · 物理学 2009-10-22 W. M. Koo

A lattice model of a hetero-polymer with random hydrophilic-hydrophobic charges interacting with the solvent is introduced, whose continnuum counterpart has been proposed by T. Garel, L. Leibler and H. Orland {J. Phys. II France 4, 2139…

统计力学 · 物理学 2009-10-31 A. Trovato , J. van Mourik , A. Maritan

We consider various lattice models of polymers: lattice trees, lattice animals, and self-avoiding walks. The polymer interacts with a surface (hyperplane), receiving a unit energy reward for each site in the surface. There is an adsorption…

数学物理 · 物理学 2017-02-01 Neal Madras

We study the collapse of two-dimensional polymers, via an O($n$) model on the square lattice that allows for dilution, bending rigidity and short-range monomer attractions. This model contains two candidates for the theta point,…

数学物理 · 物理学 2016-09-12 Eric Vernier , Jesper Lykke Jacobsen , Hubert Saleur

The present paper is dedicated to the 2-dimensional Interacting Partially Directed Self Avoiding Walk constrained to remain in the upper-half plan and interacting with the horizontal axis. The model has been introduced in \cite{F90} to…

概率论 · 数学 2020-09-22 Alexandre Legrand , Nicolas Pétrélis