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We report on precision measurements of the frequency of the radial compression mode in a strongly interacting, optically trapped Fermi gas of Li-6 atoms. Our results allow for a test of theoretical predictions for the equation of state in…

其他凝聚态物理 · 物理学 2009-03-24 A. Altmeyer , S. Riedl , C. Kohstall , M. Wright , R. Geursen , M. Bartenstein , C. Chin , J. Hecker Denschlag , R. Grimm

We formulate and test a hybrid fluid-Monte Carlo scheme for the treatment of elastic collisions in gases and plasmas. While our primary focus and demonstrations of applicability are for moderately collisional plasmas, as described by the…

计算物理 · 物理学 2015-06-12 L. F. Ricketson , M. S. Rosin , R. E. Caflisch , Andris M. Dimits

The distance of closest approach of hard particles is a key parameter of their interaction and plays an important role in the resulting phase behavior. For non-spherical particles, the distance of closest approach depends on orientation,…

数学物理 · 物理学 2009-11-19 Xiaoyu Zheng , Peter Palffy-Muhoray

Recently developed analytic approximation for the equation of state of fully ionized nonideal electron-ion plasma mixtures [Potekhin et al., Phys. Rev. E, 79, 016411 (2009); arXiv:0812.4344], which covers the transition between the weak and…

等离子体物理 · 物理学 2010-02-01 A. Y. Potekhin , G. Chabrier , A. I. Chugunov , H. E. DeWitt , F. J. Rogers

We address the issue of accurately treating interaction effects in the mesoscopic regime by investigating the ground state properties of isolated irregular quantum dots. Quantum Monte Carlo techniques are used to calculate the distributions…

介观与纳米尺度物理 · 物理学 2007-05-23 Amit Ghosal , C. J. Umrigar , Hong Jiang , Denis Ullmo , Harold U. Baranger

We present the complete phase diagram for one-dimensional binary mixtures of bosonic ultracold atomic gases in a harmonic trap. We obtain exact results with direct numerical diagonalization for small number of atoms, which permits us to…

量子气体 · 物理学 2014-12-05 M. A. García-March , B. Juliá-Díaz , G. E. Astrakharchik , Th. Busch , J. Boronat , A. Polls

We experimentally study the fundamental problem of computing the volume of a convex polytope given as an intersection of linear inequalities. We implement and evaluate practical randomized algorithms for accurately approximating the…

计算几何 · 计算机科学 2021-04-26 Ioannis Z. Emiris , Vissarion Fisikopoulos

In previous work, it has been shown that the recently proposed LLR method is very efficient at overcoming strong metastabilities that arise near first-order phase transition points. Here we present a systematic study of the performance of…

高能物理 - 格点 · 物理学 2016-11-02 Biagio Lucini , William Fall , Kurt Langfeld

In limited data computerized tomography, the 2D or 3D problem can be reduced to a family of 1D problems using the differentiated backprojection (DBP) method. Each 1D problem consists of recovering a compactly supported function $f \in…

经典分析与常微分方程 · 数学 2016-05-25 Rima Alaifari , Michel Defrise , Alexander Katsevich

In this work we study the numerical approximation of a class of ergodic Backward Stochastic Differential Equations. These equations are formulated in an infinite horizon framework and provide a probabilistic representation for elliptic…

数值分析 · 数学 2024-09-11 Emmanuel Gobet , Adrien Richou , Lukasz Szpruch

With a transcorrelated Hamiltonian, we perform a many body perturbation (MBPT) calculation on the uniform electron gas in the high density regime. By using a correlation factor optimised for a single determinant Jastrow ansatz, the second…

计算物理 · 物理学 2024-06-19 Hongjun Luo , Ali Alavi

We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is…

无序系统与神经网络 · 物理学 2007-05-23 Wolfhard Janke , Bernd A. Berg , Alain Billoire

The montecarlo method, which is quite commonly used to solve maximum entropy problems in statistical physics, can actually be used to solve inverse problems in a much wider context. The probability distribution which maximizes entropy can…

统计力学 · 物理学 2007-05-23 Jan Naudts

We study Bayesian inversion for a model elliptic PDE with unknown diffusion coefficient. We provide complexity analyses of several Markov Chain-Monte Carlo (MCMC) methods for the efficient numerical evaluation of expectations under the…

数值分析 · 数学 2013-05-01 Viet Ha Hoang , Christoph Schwab , Andrew M. Stuart

A path-integral hybrid Monte Carlo approach with enveloping bridging potentials (PIHMC-EBP) is proposed for calculating numerically exact tunneling splittings in molecular systems. The central idea is to construct an approximately…

化学物理 · 物理学 2026-04-15 Yu-Chen Wang , Jeremy O. Richardson

We approximate the solution to some linear and degenerate quasi-linear problem involving a linear elliptic operator (like the semi-discrete in time implicit Euler approximation of Richards and Stefan equations) with measure right-hand side…

经典分析与常微分方程 · 数学 2022-05-17 Robert Eymard , David Maltese , Alain Prignet

We develop a classical Monte Carlo algorithm based on a quasi-classical approximation for a pseudospin S=1 Hamiltonian in real space to construct a phase diagram of a model cuprate with a high Tc. A model description takes into account both…

强关联电子 · 物理学 2021-10-25 Yu. D. Panov , A. S. Moskvin , A. A. Chikov , V. A. Ulitko

We describe an efficient Monte Carlo algorithm using a random walk in energy space to obtain a very accurate estimate of the density of states for classical statistical models. The density of states is modified at each step when the energy…

统计力学 · 物理学 2009-11-07 Fugao Wang , David. P. Landau

We propose efficient numerical algorithms for approximating statistical solutions of scalar conservation laws. The proposed algorithms combine finite volume spatio-temporal approximations with Monte Carlo and multi-level Monte Carlo…

数值分析 · 数学 2017-11-01 Ulrik Skre Fjordholm , Kjetil Lye , Siddhartha Mishra