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We defined exponential maps with one parameter, associated with geodesics on the parameter surface. By group theory we proposed a formula of the critical points, which is a direct sum of the Lie subalgebras at the critical temperature. We…

General Physics · Physics 2009-12-17 You-Gang Feng

The multicanonical method has been proven powerful for statistical investigations of lattice and off-lattice systems throughout the last two decades. We discuss an intuitive but very efficient parallel implementation of this algorithm and…

Statistical Mechanics · Physics 2013-12-11 Johannes Zierenberg , Martin Marenz , Wolfhard Janke

A new meron cluster algorithm is constructed to study the finite temperature critical behavior of the chiral condensate in a $(3+1)$ dimensional model of interacting staggered fermions. Using finite size scaling analysis the infinite volume…

High Energy Physics - Lattice · Physics 2008-11-26 Shailesh Chandrasekharan , James C. Osborn

We investigate the dynamics of single microparticles immersed in water that are driven out of equilibrium in the presence of an additional external colored noise. As a case study, we trap a single polystyrene particle in water with optical…

Statistical Mechanics · Physics 2014-09-17 Pau Mestres , Ignacio A. Martinez , Antonio Ortiz-Ambriz , Raul A. Rica , Edgar Roldan

We consider cumulative merging percolation (CMP), a long-range percolation process describing the iterative merging of clusters in networks, depending on their mass and mutual distance. For a specific class of CMP processes, which…

Statistical Mechanics · Physics 2020-05-07 Claudio Castellano , Romualdo Pastor-Satorras

The problem of identifying the phase of a given system for a certain value of the temperature can be reformulated as a classification problem in Machine Learning. Taking as a prototype the Ising model and using the Support Vector Machine as…

Statistical Mechanics · Physics 2019-06-26 Cinzia Giannetti , Biagio Lucini , Davide Vadacchino

In the Ising model on the simple cubic lattice, we describe the inverse temperature $\beta$ and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass $M$. The critical behaviors of…

High Energy Physics - Lattice · Physics 2015-08-25 Hirofumi Yamada

The theory of superstatistics, originally proposed for the study of complex nonequilibrium systems, has recently been extended to studies of small systems interacting with a finite environment, because such systems display interestingly…

Statistical Mechanics · Physics 2023-04-19 Constanza Farías , Sergio Davis

A new algorithm for simulating compact U(1) lattice gauge theory in three dimensions is presented which is based on global changes in the configuration space. We show that this algorithm provides an effective way to extract partition…

High Energy Physics - Lattice · Physics 2009-11-10 F. Alet , B. Lucini , M. Vettorazzo

We sharpen run-time analysis for algorithms under the partial rejection sampling framework. Our method yields improved bounds for: the cluster-popping algorithm for approximating all-terminal network reliability; the cycle-popping algorithm…

Data Structures and Algorithms · Computer Science 2018-12-14 Heng Guo , Kun He

A method is proposed to compute robust inner-approximations to the backward reachable set for uncertain nonlinear systems. It also produces a robust control law that drives trajectories starting in these sets to the target set. The method…

Systems and Control · Electrical Eng. & Systems 2020-03-13 He Yin , Peter Seiler , Murat Arcak

We propose a method to outer bound forward reachable sets on finite horizons for uncertain nonlinear systems with polynomial dynamics. This method makes use of time-dependent polynomial storage functions that satisfy appropriate dissipation…

Systems and Control · Electrical Eng. & Systems 2020-05-18 He Yin , Andrew Packard , Murat Arcak , Peter Seiler

The standard Potts model is investigated in the framework of nonextensive statistical mechanics. We performed Monte Carlo simulations on two-dimensional lattices with linear sizes ranging from 16 to 64 using the Metropolis algorithm, where…

Statistical Mechanics · Physics 2012-06-14 Attila Boer

The cluster variation - Pade` approximant method is a recently proposed tool, based on the extrapolation of low/high temperature results obtained with the cluster variation method, for the determination of critical parameters in Ising-like…

Statistical Mechanics · Physics 2009-10-31 Alessandro Pelizzola

High-temperature series are computed for a generalized $3d$ Ising model with arbitrary potential. Two specific ``improved'' potentials (suppressing leading scaling corrections) are selected by Monte Carlo computation. Critical exponents are…

Statistical Mechanics · Physics 2009-10-31 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We introduce a cavity-enhanced optical architecture for collective quantum processing in which logical qubits are encoded in the polarization subspace of recirculating intracavity modes. The physical carrier and computational degree of…

By combining conventional finite-temperature many-body perturbation theory with cluster expansions, we develop a systematic method to carry out high order arbitrary temperature perturbative calculations on the computer. The method is well…

Strongly Correlated Electrons · Physics 2009-10-30 Norbert Elstner , Rajiv. R. P. Singh

We consider the concept of temperature in a setting beyond the standard thermodynamics prescriptions. Namely, rather than restricting to standard coarse-grained measurements, we consider observers able to master any possible quantum…

Quantum Physics · Physics 2012-04-19 Alessandro Ferraro , Artur Garcia-Saez , Antonio Acin

We present an algorithm for recovering planted solutions in two well-known models, the stochastic block model and planted constraint satisfaction problems, via a common generalization in terms of random bipartite graphs. Our algorithm…

Data Structures and Algorithms · Computer Science 2015-04-30 Vitaly Feldman , Will Perkins , Santosh Vempala

We develop numerical schemes for solving the isothermal compressible and incompressible equations of fluctuating hydrodynamics on a grid with staggered momenta. We develop a second-order accurate spatial discretization of the diffusive,…