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Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown…

偏微分方程分析 · 数学 2007-05-23 Peter A. Becker

Robustly handling collisions between individual particles in a large particle-based simulation has been a challenging problem. We introduce particle merging-and-splitting, a simple scheme for robustly handling collisions between particles…

图形学 · 计算机科学 2021-07-20 Nghia Truong , Cem Yuksel , Chakrit Watcharopas , Joshua A. Levine , Robert M. Kirby

Optimal (reversible) processes in thermodynamics can be modelled as step-by-step processes, where the system is successively thermalized with respect to different Hamiltonians by an external thermal bath. However, in practice interactions…

New mathematical and numerical results are given for the coupling of the temperature equation of a fluid with Radiative Transfer: existence and uniqueness and a convergent monotone numerical scheme. The technique is shown to be feasible for…

数值分析 · 数学 2021-07-30 F. Golse , O. Pironneau

The chemical reactions are very complex, and include oscillation, condensation, catalyst and self-organization, etc. In these case changes of entropy may increase or decrease. The second law of thermodynamics is based on an isolated system…

综合物理 · 物理学 2008-07-03 Yi-Fang Chang

We investigate a measurement-feedback process of repeated operations with time delay. During a finite-time interval, measurement on the system is performed and the feedback protocol derived from the measurement outcome is applied with time…

统计力学 · 物理学 2020-01-08 Chulan Kwon , Jaegon Um , Hyunggyu Park

The liquid-gas phase transition for homogeneous symmetric nuclear matter is studied in the mean-field approximation. Critical properties are computed using a comprehensive group of Skyrme and Gogny forces in an effort to elucidate the…

核理论 · 物理学 2010-07-23 A. Rios

In general, high order splitting methods suffer from an order reduction phenomena when applied to the time integration of partial differential equations with non-periodic boundary conditions. In the last decade, there were introduced…

数值分析 · 数学 2026-04-08 Ramona Häberli

Inferring physical parameters of turbulent flows by assimilation of data measurements is an open challenge with key applications in meteorology, climate modeling and astrophysics. Up to now, spectral nudging was applied for empirical…

流体动力学 · 物理学 2018-10-29 P. Clark Di Leoni , A. Mazzino , L. Biferale

We show that, in nonequilibrium systems with small heat flows, there is a time-scale dependent effective temperature which plays the same role as the thermodynamical temperature, in that it controls the direction of heat flows and acts as a…

无序系统与神经网络 · 物理学 2009-10-28 Leticia F. Cugliandolo , Jorge Kurchan , Luca Peliti

Numerical hydrodynamics simulations of gases dominated by ideal, nondegenerate matter pressure and thermal radiation pressure in equilibrium entail finding the temperature as part of the evolution. Since the temperature is not typically a…

高能天体物理现象 · 物理学 2025-11-14 Thomas W. Baumgarte , Stuart L. Shapiro

Heat shuttling phenomenon is characterized by the presence of a non-zero heat flow between two bodies without net thermal bias on average. It was initially predicted in the context of nonlinear heat conduction within atomic lattices coupled…

A basic task of information processing is information transfer (flow). Here we study a pair of Brownian particles each coupled to a thermal bath at temperature $T_1$ and $T_2$, respectively. The information flow in such a system is defined…

统计力学 · 物理学 2015-05-13 Armen E. Allahverdyan , Dominik Janzing , Guenter Mahler

We propose a new formulation of stochastic thermodynamics for systems subjected to nonequilibrium constraints (i.e. broken detailed balance at steady state) and furthermore driven by external time-dependent forces. A splitting of the second…

统计力学 · 物理学 2015-05-18 Massimiliano Esposito , Christian Van den Broeck

We review and compare numerical methods that simultaneously control temperature while preserving the momentum, a family of particle simulation methods commonly used for the modelling of complex fluids and polymers. The class of methods…

计算物理 · 物理学 2020-02-14 Benedict Leimkuhler , Xiaocheng Shang

Temperature is usually defined for physical systems at thermal equilibrium. Nevertheless one may wonder if it would be possible to attribute a meaningful notion of temperature to an arbitrary quantum state, beyond simply the thermal (Gibbs)…

量子物理 · 物理学 2023-02-01 Patryk Lipka-Bartosik , Martí Perarnau-Llobet , Nicolas Brunner

In many problems in particle cosmology, interaction rates are dominated by ${2}\leftrightarrow{2}$ scatterings, or get a substantial contribution from them, given that ${1}\leftrightarrow{2}$ and ${1}\leftrightarrow{3}$ reactions are…

高能物理 - 唯象学 · 物理学 2021-09-27 G. Jackson , M. Laine

Planar thermal equilibration is studied using direct numerical simulations of ultracold two-dimensional (2D) ion crystals in a Penning trap with a rotating wall. The large magnetic field of the trap splits the modes that describe in-plane…

等离子体物理 · 物理学 2021-09-01 Chen Tang , Athreya Shankar , Dominic Meiser , Daniel H. E. Dubin , John J. Bollinger , Scott E. Parker

We report an improved method for the calculation of tunneling splittings between degenerate configurations in molecules and clusters using path-integral molecular dynamics (PIMD). Starting from an expression involving a ratio of…

化学物理 · 物理学 2018-03-14 C L Vaillant , D J Wales , S C Althorpe

We reveal a correspondence between temperature and integrability-breaking in classical and quantum many-body systems through the lens of geometry and adiabatic transformations. Decreasing the temperature, obtained in a standard way through…

统计力学 · 物理学 2026-04-03 Hyeongjin Kim , Souvik Bandyopadhyay , Anatoli Polkovnikov