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Simple and robust algorithms are developed for compressible Euler equations with the stiffened gas equation of state (EOS), representing gaseous mixtures in thermal equilibrium and without chemical reactions. These algorithms use a fully…

数值分析 · 数学 2021-03-08 Ramesh Kolluru , S V Raghurama Rao , G N Sekhar

A new, maximum proton energy, $e$, scaling law with the laser pulse energy, $E_L$ has been derived from the results of 3D particle-in-cell (PIC) simulations. Utilizing numerical modelling, protons are accelerated during interactions of the…

等离子体物理 · 物理学 2015-06-22 A. V. Brantov , E. A. Govras , V. Yu. Bychenkov , W. Rozmus

We present a general framework for deriving entropy production rates (EPRs) in active matter systems driven by non-Gaussian active fluctuations. Employing the probability-flow equivalence technique, we rigorously obtain an entropy…

统计力学 · 物理学 2025-12-12 Yuanfei Huang , Chengyu Liu , Bing Miao , Xiang Zhou

In this paper, we propose and analyze a positivity-preserving, energy stable numerical scheme for certain type reaction-diffusion systems involving the Law of Mass Action with the detailed balance condition. The numerical scheme is…

数值分析 · 数学 2021-04-07 Chun Liu , Cheng Wang , Yiwei Wang

A semi-relativistic Pauli-Fierz model is defined by the sum of the free Hamiltonian $H_{\rm f}$ of a Boson Fock space, an nuclear potential $V$ and a relativistic kinetic energy: $$ H=\sqrt{[\sigma\cdot(\mathbf{p}+e\mathbf{A})]^2+M^2} - M +…

数学物理 · 物理学 2010-04-05 Fumio Hiroshima , Itaru Sasaki

Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly.…

In a recent paper (Chabrier et al. 2019), we have derived a new equation of state (EOS) for dense hydrogen/helium mixtures which covers the temperature-density domain from solar-type stars to brown dwarfs and gaseous planets. This EOS is…

太阳与恒星天体物理 · 物理学 2021-08-18 Gilles Chabrier , Florian Debras

In order to verify and validate the newly developed thermoelectron equation of state (EOS) model that is based on the Wu-Jing (W-J) EOS, calculations of shock compression behavior have been made on five different porous metals-iron, copper,…

材料科学 · 物理学 2012-03-06 H. Y. Geng , Q. Wu , H. Tan , L. Cai , F. Jing

A flux-splitting method is proposed for the hyperbolic-equation system (HES) of magnetized electron fluids in quasi-neutral plasmas. The numerical fluxes are split into four categories, which are computed by using an upwind method which…

计算物理 · 物理学 2017-12-11 R. Kawashima , K. Komurasaki , T. Schoenherr

In this paper, we design, analyze, and numerically validate positive and energy-dissipating schemes for solving the time-dependent multi-dimensional system of Poisson-Nernst-Planck (PNP) equations, which has found much use in the modeling…

数值分析 · 数学 2020-02-24 Hailiang Liu , Wumaier Maimaitiyiming

Sampling the free energy surface, namely, the distribution of collective variables (CVs), is a crucial problem in statistical physics, as it underpins a better understanding of chemical reactions and conformational transitions. Traditional…

机器学习 · 计算机科学 2026-05-04 Zichen Liu , Tiejun Li

We propose and analyze a new numerical method for computing the ground state of the modified Gross-Pitaevskii equation for modeling the Bose-Einstein condensate with a higher order interaction by adapting the density function formulation…

量子气体 · 物理学 2019-08-27 Weizhu Bao , Xinran Ruan

We develop an analytical technique to derive explicit forms of thermodynamical quantities within the asymptotic approach to non-extensive quantum distribution functions. Using it, we find an expression for the number of particles in a boson…

统计力学 · 物理学 2009-10-31 Ugur Tirnakli , Diego F. Torres

Energy-based policies offer a flexible framework for modeling complex, multimodal behaviors in reinforcement learning (RL). In maximum entropy RL, the optimal policy is a Boltzmann distribution derived from the soft Q-function, but direct…

机器学习 · 计算机科学 2025-09-09 Vineet Jain , Tara Akhound-Sadegh , Siamak Ravanbakhsh

We study the sensitivities of the directed flow in Au+Au collisions on the equation of state (EoS), employing the transport theoretical model JAM. The EoS is modified by introducing a new collision term in order to control the pressure of a…

核理论 · 物理学 2017-02-15 Yasushi Nara , Harri Niemi , Jan Steinheimer , Horst Stoecker

In this study, a novel semi-implicit second-order temporal scheme combined with the finite element method for space discretization is proposed to solve the coupled system of infiltration and solute transport in unsaturated porous media. The…

数值分析 · 数学 2024-06-11 Nour-eddine Toutlini , Abdelaziz Beljadid , Azzeddine Soulaïmani

Approaches based on viscous hydrodynamics for the hot and dense stage and hadronic transport for the final dilute rescattering stage are successfully applied to the dynamic description of heavy ion reactions at high beam energies. One…

高能物理 - 唯象学 · 物理学 2017-12-06 C. Schwarz , D. Oliinychenko , L. -G. Pang , S. Ryu , H. Petersen

Entanglement in quantum many-body systems is required for a variety of quantum information tasks, making it crucial to identify the parameter space in which the ground state is fully separable, known as the factorization surface (FS).…

The understanding of the accelerated expansion of the Universe poses one of the most fundamental questions in physics and cosmology today. Whether or not the acceleration is driven by some form of dark energy, and in the absence of a…

宇宙学与河外天体物理 · 物理学 2015-06-17 E. Piedipalumbo , E. Della Moglie , M. De Laurentis , P. Scudellaro

A key question about the QCD phase diagram is whether there is a critical point somewhere on the boundary between the hadronic and quark-gluon plasma phases, and if so where. Heavy-ion collisions offer a unique opportunity to search for…

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