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We investigate the continuum q-Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered phases in the high-q case. We argue that occurrence of phase…

Mathematical Physics · Physics 2007-05-23 Hans-Otto Georgii , Jozsef Lorinczi , Jani M. Lukkarinen

We study planar clusters consisting of loops including a Josephson $\pi$-junction ($\pi$-rings). Each $\pi$-ring carries a persistent current and behaves as a classical orbital moment. The type of particular state associated with the…

Strongly Correlated Electrons · Physics 2009-11-13 A. O'Hare , F. V. Kusmartsev , K. I. Kugel , M. S. Laad

The future of computation is the Graphical Processing Unit, i.e. the GPU. The promise that the graphics cards have shown in the field of image processing and accelerated rendering of 3D scenes, and the computational capability that these…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-21 Jayshree Ghorpade , Jitendra Parande , Madhura Kulkarni , Amit Bawaskar

With high computation power and memory bandwidth, graphics processing units (GPUs) lend themselves to accelerate data-intensive analytics, especially when such applications fit the single instruction multiple data (SIMD) model. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Hang Liu , H. Howie Huang

Quantum computers, with parallel computing and entanglement effects, excel in cryptography analysis and big data processing. However, they are not fully developed yet, and their performance needs further evaluation. Traditional computer…

Quantum Physics · Physics 2024-09-11 Zili Chen

The past decade has witnessed a dramatic acceleration of lattice quantum chromodynamics calculations in nuclear and particle physics. This has been due to both significant progress in accelerating the iterative linear solvers using…

High Energy Physics - Lattice · Physics 2016-12-26 M. A. Clark , Bálint Joó , Alexei Strelchenko , Michael Cheng , Arjun Gambhir , Richard Brower

This paper describes a CUDA implementation of Wagener's PRAM convex hull algorithm in two dimensions. It is presented in Knuth's literate programming style.

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-26 Colm O. Dunlaing

The frustrated Ising model in two dimensions is revisited. The frustration is quantified in terms of the number of non-trivial plaquettes which is invariant under the Nishimori gauge symmetry. The exact ground state energy is calculated…

High Energy Physics - Lattice · Physics 2007-05-23 K. Langfeld , M. Quandt , W. Lutz , H. Reinhardt

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

Computation · Statistics 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

The study of frustrated spin systems often requires time-consuming numerical simulations. As the simplest approach, the classical Ising model is often used to investigate the thermodynamic behavior of such systems. Exploiting the small…

Statistical Mechanics · Physics 2013-05-30 Bilin Zhuang , Courtney Lannert

We study graphical representations for two related models. The first model is the transverse field quantum Ising model, an extension of the original Ising model which was introduced by Lieb, Schultz and Mattis in the 1960's. The second…

Probability · Mathematics 2010-11-12 Jakob E. Björnberg

We have provided a concise introduction to the Ising model as one of the most important models in statistical mechanics and in studying the phenomenon of phase transition. The required theoretical background and derivation of the…

Statistical Mechanics · Physics 2021-05-04 Ashkan Shekaari , Mahmoud Jafari

Graphics Processing Unit (GPU) computing is becoming an alternate computing platform for numerical simulations. However, it is not clear which numerical scheme will provide the highest computational efficiency for different types of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-07 Ben J. Zimmerman , Jonathan D. Regele , Bong Wie

We present peapods (github.com/PeaBrane/peapods), an open-source Python package for Monte Carlo simulation of Ising spin systems with arbitrary coupling constants on periodic Bravais lattices with user-specified neighbor offsets. The…

Statistical Mechanics · Physics 2026-03-05 Yan Ru Pei

We analyze models of spin glasses on the two-dimensional square lattice by exploiting symmetry arguments. The replicated partition functions of the Ising and related spin glasses are shown to have many remarkable symmetry properties as…

Statistical Mechanics · Physics 2009-11-10 Jean-Marie Maillard , Koji Nemoto , Hidetoshi Nishimori

Stochastic surface growth models aid in studying properties of universality classes like the Kardar--Paris--Zhang class. High precision results obtained from large scale computational studies can be transferred to many physical systems.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-10 Jeffrey Kelling , Géza Ódor , Sibylle Gemming

Accuracy and efficiency remain challenges for multi-party computation (MPC) frameworks. Spin is a GPU-accelerated MPC framework that supports multiple computation parties and a dishonest majority adversarial setup. We propose optimized…

Cryptography and Security · Computer Science 2024-02-27 Wuxuan Jiang , Xiangjun Song , Shenbai Hong , Haijun Zhang , Wenxin Liu , Bo Zhao , Wei Xu , Yi Li

The advent of high performance computing (HPC) and graphics processing units (GPU), present an enormous computation resource for Large data transactions (big data) that require parallel processing for robust and prompt data analysis. While…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-17 Kato Mivule , Benjamin Harvey , Crystal Cobb , Hoda El Sayed

The simplex algorithm has been successfully used for many years in solving linear programming (LP) problems. Due to the intensive computations required (especially for the solution of large LP problems), parallel approaches have also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-22 Basilis Mamalis , Marios Perlitis

In this paper we present a simulation environment enhanced with parallel processing which can be used on personal computers, based on a high-level user interface developed on Mathematica\copyright which is connected to C++ code in order to…

Quantum Physics · Physics 2011-03-09 Sandra Díaz-Pier , Salvador E. Venegas-Andraca , José Luis Gómez-Muñoz