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We investigate, by series methods, the behaviour of interacting self-avoiding walks (ISAWs) on the honeycomb lattice and on the square lattice. This is the first such investigation of ISAWs on the honeycomb lattice. We have generated data…

统计力学 · 物理学 2020-06-24 Nicholas R Beaton , Anthony J Guttmann , Iwan Jensen

The Interacting Growth Walk (IGW) is a kinetic algorithm proposed recently for generating long, compact, self avoiding walks. The growth process in IGW is tuned by the so called growth temperature $T' = 1/(k_B \beta ')$. On a square lattice…

凝聚态物理 · 物理学 2009-11-07 S. L. Narasimhan , P. S. R. Krishna , M. Ramanadham , K. P. N. Murthy , V. Sridhar

We show that the Density of States (DoS) for lattice Self Avoiding Walks can be estimated by using an inverse algorithm, called flatIGW, whose step-growth rules are dynamically adjusted by requiring the energy histogram to be locally flat.…

统计力学 · 物理学 2015-05-18 M. Ponmurugan , V. Sridhar , S. L. Narasimhan , K. P. N. Murthy

We have simulated four-dimensional interacting self-avoiding trails (ISAT) on the hyper-cubic lattice with standard interactions at a wide range of temperatures up to length 4096 and at some temperatures up to length 16384. The results…

统计力学 · 物理学 2009-11-07 Thomas Prellberg , Aleksander L. Owczarek

We present analyses of substantially extended series for both interacting self-avoiding walks (ISAW) and polygons (ISAP) on the square lattice. We argue that these provide good evidence that the free energies of both linear and ring…

We study via Monte Carlo simulation a generalisation of the so-called vertex interacting self-avoiding walk (VISAW) model on the square lattice. The configurations are actually not self-avoiding walks but rather restricted self-avoiding…

统计力学 · 物理学 2016-10-27 A Bedini , A L Owczarek , T Prellberg

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

This article is dedicated to the study of the 2-dimensional interacting prudent self-avoiding walk (referred to by the acronym IPSAW) and in particular to its collapse transition. The interaction intensity is denoted by $\beta>0$ and the…

概率论 · 数学 2016-10-25 Nicolas Pétrélis , Niccolo Torri

We perform a Monte Carlo simulation of two-dimensional N-step interacting self-avoiding walks at the theta point, with lengths up to N=3200. We compute the critical exponents, verifying the Coulomb-gas predictions, the theta-point…

软凝聚态物质 · 物理学 2015-03-17 Sergio Caracciolo , Marco Gherardi , Mauro Papinutto , Andrea Pelissetto

We show that the compact self avoiding walk configurations, kinetically generated by the recently introduced Interacting Growth Walk (IGW) model, can be considered as members of a canonical ensemble if they are assigned random values of…

统计力学 · 物理学 2009-11-07 S. L. Narasimhan , P. S. R. Krishna , A. K. Rajarajan , K. P. N. Murthy

An analysis of thermal transients from non-equilibrium ab initio molecular-dynamics simulations can be used to calculate the thermal conductivity of materials with a short phonon mean-free path. We adapt the approach-to-equilibrium…

材料科学 · 物理学 2020-06-01 Felix C. Mocanu , Konstantinos Konstantinou , Stephen R. Elliott

We have explained in detail why the canonical partition function of Interacting Self Avoiding Walk (ISAW), is exactly equivalent to the configurational average of the weights associated with growth walks, such as the Interacting Growth Walk…

统计力学 · 物理学 2009-11-13 S. L. Narasimhan , P. S. R. Krishna , M. Ponmurugan , K. P. N. Murthy

Self-avoiding walks are studied on the 3-simplex fractal lattice as a model of linear polymer conformations in a dilute, non-homogeneous solution. A model is supplemented with bending energies and attractive-interaction energies between…

统计力学 · 物理学 2023-02-21 Dušanka Marčetić

We investigate semi-stiff interacting self-avoiding walks on the square lattice with random impurities. The walks are simulated using the flatPERM algorithm and the inhomogeneity is realised as a random fraction of the lattice that is…

统计力学 · 物理学 2020-11-30 C J Bradly , A L Owczarek

Self-avoiding walks self-interacting via nearest neighbours (ISAW) and self-avoiding trails interacting via multiply-visited sites (ISAT) are two models of the polymer collapse transition of a polymer in dilute solution. On the square…

统计力学 · 物理学 2013-02-01 A Bedini , A L Owczarek , T Prellberg

The existed theories and methods for calculating interfacial thermal conductance of solid-solid interface lead to diverse values that deviate from experimental measurements. In this letter, We propose a model to estimate the ITC at high…

材料科学 · 物理学 2020-11-20 Jinxin Zhong , Zhiguo Wang , Xiaobo Li , Jun Liu , Jun Zhou

We propose the study of the phase transition in the scalar electroweak theory at finite temperature by a two - step method. It combines i) dimensional reduction to a 3-dimensional {\it lattice\/} theory via perturbative blockspin…

高能物理 - 格点 · 物理学 2016-08-31 U. Kerres , G. Mack , G. Palma

We propose an algorithm based on local growth rules for kinetically generating self avoiding walk configurations at any given temperature. This algorithm, called the Interacting Growth Walk (IGW) algorithm, does not suffer from attrition on…

统计力学 · 物理学 2007-05-23 S. L. Narasimhan , P. S. R. Krishna , K. P. N. Murthy , M. Ramanadham

We present thermal conductivity measurements performed in three short-period (GaAs)_9(AlAs)_5 superlattices. The samples were grown at different temperatures, leading to different small scale roughness and broadening of the interfaces. The…

材料科学 · 物理学 2009-10-08 J. -Y. Duquesne

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model…

统计力学 · 物理学 2009-11-07 D. P. Foster , F. Seno
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