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In this article, a novel cluster analysis algorithm was employed in the study of polymer coil to globule transition via single chain Monte Carlo simulations. The algorithm, which has been recently applied in Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2013-11-21 T. E. Raptis , Vasilios E. Raptis

We present an algorithm for Monte Carlo simulations of a nearest-neighbor spin ice model based on its cluster representation. To assess its performance, we estimate a relaxation time, and find that, in contrast to the Metropolis algorithm,…

Statistical Mechanics · Physics 2015-06-23 Hiromi Otsuka

Monodisperse ensembles of particles that have cluster crystalline phases at low temperatures can model a number of physical systems, such as vortices in type-1.5 superconductors, colloidal suspensions and cold atoms. In this work we study a…

Soft Condensed Matter · Physics 2019-04-29 Wenlong Wang , Rogelio Díaz-Méndez , Mats Wallin , Jack Lidmar , Egor Babaev

In lattice QCD the calculation of disconnected quark loops from the trace of the inverse quark matrix has large noise variance. A multilevel Monte Carlo method is proposed for this problem that uses different degree polynomials on a…

High Energy Physics - Lattice · Physics 2024-02-02 Paul Lashomb , Ronald B. Morgan , Travis Whyte , Walter Wilcox

The superior electronic, optical and magnetic properties of carbyne have been called for optoelectronic and magnetoelectronic applications. However, manufacturing a monoatomic chain of more than 6000 carbon atoms presents a huge technical…

Materials Science · Physics 2022-10-19 Chi Ho Wong

We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…

Statistical Mechanics · Physics 2022-03-14 Mouhcine Azhari , Unjong Yu

A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for…

Soft Condensed Matter · Physics 2008-02-03 Kisor Mukhopadhyay , Abhijit Pal , Soumen Kumar Roy

We present results of large-scale Monte Carlo simulations of the 2D classical x-y model on the square lattice. We obtain high accuracy results for the superfluid fraction and for the specific heat as a function of temperature, for systems…

Statistical Mechanics · Physics 2021-06-01 Phong H. Nguyen , Massimo Boninsegni

Semiconductor artificial graphene nanostructures where Hubbard model parameter $U/t$ can be of the order of 100, provide a highly controllable platform to study strongly correlated quantum many-particle phases. We use accurate variational…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Gökhan Öztarhan , E. Bulut Kul , Emre Okcu , A. D. Güçlü

We use single-cluster Monte Carlo simulations to study the role of topological defects in the three-dimensional classical Heisenberg model on simple cubic lattices of size up to $80^3$. By applying reweighting techniques to time series…

High Energy Physics - Lattice · Physics 2009-10-22 Christian Holm , Wolfhard Janke

Monte Carlo techniques play a central role in statistical mechanics approaches for connecting macroscopic thermodynamic and kinetic properties to the electronic structure of a material. This paper describes the implementation of Monte Carlo…

Materials Science · Physics 2023-09-22 Brian Puchala , John C. Thomas , Anton Van der Ven

Monte Carlo simulations are methods for simulating statistical systems. The aim is to generate a representative ensemble of configurations to access thermodynamical quantities without the need to solve the system analytically or to perform…

Statistical Mechanics · Physics 2015-06-19 Jean-Charles Walter , Gerard Barkema

We report grand canonical Monte Carlo simulations of the critical point properties of homopolymers within the Bond Fluctuation model. By employing Configurational Bias Monte Carlo methods, chain lengths of up to N=60 monomers could be…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , M. Mueller , K. Binder

The structure of polymer coils near interfaces between coexisting phases of symmetrical polymer mixtures (AB) is discussed, as well as the structure of symmetric diblock copolymers of the same chain length N adsorbed at the interface. The…

Soft Condensed Matter · Physics 2015-06-25 K. Binder , M. Mueller , F. Schmid , A. Werner

Using a combination of quantum Monte Carlo simulations in adapted cluster bases, the finite temperature Lanczos method, and an effective Hamiltonian approach, we explore the thermodynamic properties of the spin-1/2 Heisenberg…

Strongly Correlated Electrons · Physics 2023-11-23 Adrien Reingruber , Nils Caci , Stefan Wessel , Johannes Richter

We propose a new generalized-ensemble algorithm, which we refer to as the multibaric-multithermal Monte Carlo method. The multibaric-multithermal Monte Carlo simulations perform random walks widely both in volume space and in potential…

Statistical Mechanics · Physics 2009-11-10 H. Okumura , Y. Okamoto

The persistence length of macromolecules is one of their basic characteristics, describing their intrinsic local stiffness. However, it is difficult to extract this length from physical properties of the polymers, different recipes may give…

Soft Condensed Matter · Physics 2013-03-12 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We analyze the kinematics of multigrid Monte Carlo algorithms by investigating acceptance rates for nonlocal Metropolis updates. With the help of a simple criterion we can decide whether or not a multigrid algorithm will have a chance to…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Grabenstein , Klaus Pinn

We present a temperature-independent Monte Carlo method for the determination of the density of states of lattice proteins that combines the fast ground-state search strategy of the nPERM chain growth and multicanonical reweighting for…

Statistical Mechanics · Physics 2009-11-10 Michael Bachmann , Wolfhard Janke

We have performed Monte Carlo simulations to investigate the temperature dependence of the ordering of the side chains of the X-shape liquid crystal molecules which are arranged in a hexagonal array. Each hexagon contains six side chains,…

Statistical Mechanics · Physics 2017-06-28 Stuart George , Christopher Bentham , Xiangbing Zeng , Goran Ungar , Gillian A Gehring