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We present an exactly solvable non-linear elastic model of a volume collapse transition in an isotropic solid. Integrity of the lattice through the transition leads to an infinite-range density-density interaction, which drives classical…

强关联电子 · 物理学 2007-05-23 S. Bustingorry , E. A. Jagla , J. Lorenzana

Dimerization and subsequent aggregation of polymers and biopolymers often occur under nonequilibrium conditions. When the initial state of the polymer is not collapsed or the final folded native state, the dynamics of dimerization can…

软凝聚态物质 · 物理学 2024-11-19 Sangita Mondal , Ved Mahajan , Biman Bagchi

Conformational transitions of flexible molecules, especially those driven by hydrophobic effects, tend to be hindered by desolvation barriers. For such transitions, it is thus important to characterize and understand the interplay between…

软凝聚态物质 · 物理学 2021-03-16 Debdas Dhabal , Zhitong Jiang , Amish J. Patel

We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

软凝聚态物质 · 物理学 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

软凝聚态物质 · 物理学 2016-08-17 Christian Leitold , Christoph Dellago

We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but…

统计力学 · 物理学 2020-11-23 Neil Wilkins , Stephen Powell

I study a dimer model on the square lattice with nearest-neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous…

统计力学 · 物理学 2015-03-20 Ronald Dickman

The occurrence of glass transition is believed to be associated to cooperative motion with a growing length scale with decreasing temperature. We provide a novel route to calculate the size of cooperatively rearranging regions CRR of…

无序系统与神经网络 · 物理学 2009-11-11 D. Cangialosi , A. Alegria , J. Colmenero

The surface tension, the adsorption, and the depletion thickness of polymers close to a single nonadsorbing colloidal sphere are computed by means of Monte Carlo simulations. We consider polymers under good-solvent conditions and in the…

软凝聚态物质 · 物理学 2014-05-06 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

We consider polymers made of magnetic monomers (Ising or Heisenberg-like) in a good solvent. These polymers are modeled as self-avoiding walks on a cubic lattice, and the ferromagnetic interaction between the spins carried by the monomers…

统计力学 · 物理学 2009-10-31 T. Garel , H. Orland , E. Orlandini

We study the phase diagram of fully directed lattice animals with nearest-neighbour interactions on the square lattice. This model comprises several interesting ensembles (directed site and bond trees, bond animals, strongly embeddable…

统计力学 · 物理学 2009-11-07 Milan Knezevic , Jean Vannimenus

Thermal scaling and relaxation of the interface width in an electrophoretic deposition of polymer chains is examined by a three-dimensional Monte Carlo simulation on a discrete lattice. Variation of the equilibrium interface width $W_r$…

软凝聚态物质 · 物理学 2007-05-23 Frank W. Bentrem , Ras B. Pandey

The coil-globule transition has been studied for A-B copolymer chains both by means of lattice Monte Carlo simulations using bond fluctuation algorithm and by a numerical self-consistent field method. Copolymer chains of fixed length with A…

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

统计力学 · 物理学 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

软凝聚态物质 · 物理学 2008-02-03 O. Sommelius

An infinite hierarchy of layering transitions exists for model polymers in solution under poor solvent or low temperatures and near an attractive surface. A flat histogram stochastic growth algorithm known as FlatPERM has been used on a…

统计力学 · 物理学 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

统计力学 · 物理学 2025-10-02 Akhilesh M P , Toby Joseph

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…

凝聚态物理 · 物理学 2009-10-28 S L A de Queiroz

We study the $q$ states Potts model with four site interaction on the square lattice. Based on the asymptotic behaviour of lattice animals, it is argued that when $q\leq 4$ the system exhibits a second-order phase transition, and when $q >…

统计力学 · 物理学 2018-03-14 Nir Schreiber , Reuven Cohen , Simi Haber

We study a generalized interacting self-avoiding walk (ISAW) model with nearest- and next nearest-neighbor (NN and NNN) interactions on the square and cubic lattices. In both dimensions, the phase diagrams show coil and globule phases…

软凝聚态物质 · 物理学 2014-09-24 Nathann T. Rodrigues , Tiago J. Oliveira