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We introduce a novel explicit and stable numerical algorithm to solve the spatially discretized heat or diffusion equation. We compare the performance of the new method with analytical and numerical solutions. We show that the method is…

计算物理 · 物理学 2020-08-04 Endre Kovács

Cooling of ions or other charged particles in electromagnetic traps is an essential tool to achieve control over their degrees of freedom on the quantum level. For many objects, there is no viable route for direct cooling, such as an…

原子物理 · 物理学 2024-06-21 Oskar Sund , Andreas W. Schell

In order to further enhance the computational efficiency of the implicit unified gas-kinetic scheme (IUGKS, JCP 315 (2016) 16-38) for multi-scale flow simulation, a two-step IUGKS is proposed in this paper. The multiscale solution of the…

计算物理 · 物理学 2021-05-04 Xiaocong Xu , Yajun Zhu , Chang Liu , Kun Xu

In the case of nonabelian gauge theories with a complex weight, a controlled exploration of the complexified configuration space during a complex Langevin process requires the use of SL(N,C) gauge cooling, in order to minimize the distance…

高能物理 - 格点 · 物理学 2014-10-20 Lorenzo Bongiovanni , Gert Aarts , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We present two algorithms for the computation of the Kalman form of a linear control system. The first one is based on the technique developed by Keller-Gehrig for the computation of the characteristic polynomial. The cost is a logarithmic…

符号计算 · 计算机科学 2016-08-16 Clément Pernet , Aude Rondepierre , Gilles Villard

A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude travelling water waves in irrotational flows and in flows with…

流体动力学 · 物理学 2014-08-12 Adrian Constantin , Konstantinos Kalimeris , Otmar Scherzer

Quantum computing raises the possibility of solving a variety of problems in physics that are presently intractable. A number of such problems involves the physics of systems in or near thermal equilibrium. There are two main ways to…

量子物理 · 物理学 2023-08-16 Carter Ball , Thomas D. Cohen

We present a simple method for fast and cheap thermal analysis on supercooled glass-forming liquids. This "Thermalization Calorimetry" technique is based on monitoring the temperature and its rate of change during heating or cooling of a…

A hierarchy of equations was introduced recently to describe the kinetics of homogeneous cooling of the gas of inelastic hard spheres. It is argued that this hierarchy does not describe this system accurately, and a simple test for this is…

统计力学 · 物理学 2007-05-23 Yves Elskens

We propose a new Lagrange Multiplier approach to design unconditional energy stable schemes for gradient flows. The new approach leads to unconditionally energy stable schemes that are as accurate and efficient as the recently proposed SAV…

数值分析 · 数学 2020-06-24 Qing Cheng , Chun Liu , Jie Shen

The complex Langevin method is a promising approach to the complex-action problem based on a fictitious time evolution of complexified dynamical variables under the influence of a Gaussian noise. Although it is known to have a restricted…

高能物理 - 格点 · 物理学 2017-01-04 Keitaro Nagata , Jun Nishimura , Shinji Shimasaki

We discuss the optical stochastic cooling (OSC) method in applications to the beams of charged particles, circulating in accelerators and storage rings. In this publication we concentrated on various OSC schemes in a diluted beam…

加速器物理 · 物理学 2014-07-10 E. G. Bessonov , A. A. Mikhailichenko

We present a new way to compute thermodynamical observables on the lattice. We compute excited states and thermodynamical functions in the scalar model via the Monte Carlo Hamiltonian technique. We find agreement with standard Lagrangian…

高能物理 - 格点 · 物理学 2009-11-07 H. Kröger , X. Q. Luo , K. J. M. Moriarty

We study the mechanism of the gauge cooling technique to stabilize the complex Langevin method in the one-dimensional periodic setting. In this case, we find the exact solutions for the gauge transform which minimizes the Frobenius norm of…

数值分析 · 数学 2020-04-22 Zhenning Cai , Yana Di , Xiaoyu Dong

We propose a highly efficient and fast method of translational cooling for high-angular-momentum atoms. Optical pumping and stimulated transitions, combined with magnetic forces, can be used to compress phase-space density, and the…

原子物理 · 物理学 2023-10-03 Logan E. Hillberry , Dmitry Budker , Simon M. Rochester , Mark G. Raizen

We present a simple layout of a fast cooling system for liquids in sealed containers utilizing the large temperature gradients of cold nitrogen gas. Our system is optimized for about 20 cylindrical containers of 500 cm3 but the setup allows…

仪器与探测器 · 物理学 2017-02-24 Dirk Schulze Grachtrup , Mathias Kraken , Niklas van Elten , Stefan Süllow

Algorithmic cooling is a method that employs thermalization to increase qubit purification level, namely it reduces the qubit-system's entropy. We utilized gradient ascent pulse engineering (GRAPE), an optimal control algorithm, to…

量子物理 · 物理学 2016-01-20 Yosi Atia , Yuval Elias , Tal Mor , Yossi Weinstein

Optimal error estimates of stable and stabilized Lagrange-Galerkin (LG) schemes for natural convection problems are proved under a mild condition on time increment and mesh size. The schemes maintain the common advantages of the LG method,…

数值分析 · 数学 2015-11-05 Hirofumi Notsu , Masahisa Tabata

We propose a new method to compute the free energy or enthalpy of fluids or disordered solids by computer simulation . The main idea is to construct a reference system by freezing one representative configuration, and then carry out a…

计算物理 · 物理学 2011-03-16 Friederike Schmid , Tanja Schilling

What is the fastest way to heat a system which is coupled to a temperature controlled oven? The intuitive answer is to use only the hottest temperature available. However, we show that often it is possible to achieve an exponentially faster…

统计力学 · 物理学 2020-03-10 Oren Raz , Amit Gal