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The dynamic critical behavior of the two-replica cluster algorithm is studied. Several versions of the algorithm are applied to the two-dimensional, square lattice Ising model with a staggered field. The dynamic exponent for the full…

Computational Physics · Physics 2016-12-21 Xuenan Li , Jon Machta

We propose a method to obtain an improved Hamiltonian (action) for the Ising universality class in three dimensions. The improved Hamiltonian has suppressed leading corrections to scaling. It is obtained by tuning models with two coupling…

High Energy Physics - Lattice · Physics 2009-10-31 M. Hasenbusch , K. Pinn , S. Vinti

We compute the critical exponents associated with a magnetic line defect in the critical 3D Ising model. From the result, we deduce the anomalous dimension of the fermion operator in the z = 1 scaling regime of a Fermi surface coupled to a…

Strongly Correlated Electrons · Physics 2014-12-23 Andrea Allais

Computing the dominant eigenvalue is important in nuclear systems as it determines the stability of the system (i.e. whether the system is sub or supercritical). Recently, the work of Kusch, Whewell, McClarren and Frank \cite{KWMF} showed…

Numerical Analysis · Mathematics 2024-09-24 C. Scalone , L. Einkemmer , J. Kusch , R. J. McClarren

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

Strongly Correlated Electrons · Physics 2018-11-06 A. O. Sorokin

The critical behaviour of systems belonging to the three-dimensional Ising universality class is studied theoretically using the collective variables (CV) method. The partition function of a one-component spin system is calculated by the…

Statistical Mechanics · Physics 2012-12-27 I. V. Pylyuk , M. V. Ulyak

We consider disordered ladders of the transverse-field Ising model and study their critical properties and entanglement entropy for varying width, $w \le 20$, by numerical application of the strong disorder renormalization group method. We…

Disordered Systems and Neural Networks · Physics 2015-05-14 Istvan A. Kovacs , Ferenc Igloi

This paper studies the one-shot behavior of no-regret algorithms for stochastic bandits. Although many algorithms are known to be asymptotically optimal with respect to the expected regret, over a single run, their pseudo-regret seems to…

Machine Learning · Computer Science 2023-12-01 Victor Boone

We study the performance of Monte Carlo simulations that sample a broad histogram in energy by determining the mean first-passage time to span the entire energy space of d-dimensional ferromagnetic Ising/Potts models. We first show that…

Statistical Mechanics · Physics 2007-05-23 Yong Wu , Mathias Koerner , Louis Colonna-Romano , Simon Trebst , Harvey Gould , Jonathan Machta , Matthias Troyer

We adapted the SWAP molecular dynamics algorithm for use in lattice Ising spin models. We dressed the spins with a randomly distributed length and we alternated long-range spin exchanges with conventional single spin flip Monte Carlo…

Statistical Mechanics · Physics 2025-10-14 Greivin Alfaro Miranda , Leticia F. Cugliandolo , Marco Tarzia

This note introduces the double flip move for accelerating the Swendsen-Wang algorithm for Ising models with mixed boundary conditions below the critical temperature. The double flip move consists of a geometric flip of the spin lattice…

Numerical Analysis · Mathematics 2022-05-17 Lexing Ying

We perform Monte Carlo simulations using the Wolff cluster algorithm of the q=2 (Ising), 3, 4 and q=10 Potts models on dynamical phi-cubed graphs of spherical topology with up to 5000 nodes. We find that the measured critical exponents are…

High Energy Physics - Lattice · Physics 2015-06-25 C. F. Baillie , D. A. Johnston

We consider m two-dimensional semi-infinite planes of Ising spins joined together through surface spins and study the critical behaviour near to the junction. The m=0 limit of the model - according to the replica trick - corresponds to the…

Statistical Mechanics · Physics 2007-05-23 F. Igloi , L. Turban , B. Berche

We use quantum Monte Carlo methods and various analytic approximations to solve the Ising spin-glass model in a transverse field in the disordered phase. We focus on the behavior of the frequency dependent susceptibility of the system above…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. J. Rozenberg , D. R. Grempel

We apply a new entropic scheme to study the critical behavior of the square-lattice Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions. Estimates of the present scheme are compared with those of the…

Statistical Mechanics · Physics 2016-08-31 A. Malakis , P. Kalozoumis , N. Tyraskis

Accurate estimation of the Worst-Case Deadline Failure Probability (WCDFP) has attracted growing attention as a means to provide safety assurances in complex systems such as robotic platforms and autonomous vehicles. WCDFP quantifies the…

Operating Systems · Computer Science 2025-12-02 Hiroto Takahashi , Atsushi Yano , Takuya Azumi

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems have been considered,…

Statistical Mechanics · Physics 2007-05-23 J. Kaupuzs

We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

In this paper we study the non-stationary stochastic optimization question with bandit feedback and dynamic regret measures. The seminal work of Besbes et al. (2015) shows that, when aggregated function changes is known a priori, a simple…

Machine Learning · Statistics 2022-10-12 Yining Wang

We consider the problem of designing an allocation rule or an "online learning algorithm" for a class of bandit problems in which the set of control actions available at each time $s$ is a convex, compact subset of $\mathbb{R}^d$. Upon…

Machine Learning · Statistics 2017-03-09 Rahul Singh , Taposh Banerjee