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This article serves as a summary outlining the mathematical entropy analysis of the ideal magnetohydrodynamic (MHD) equations. We select the ideal MHD equations as they are particularly useful for mathematically modeling a wide variety of…

数值分析 · 数学 2017-08-14 Dominik Derigs , Gregor J. Gassner , Stefanie Walch , Andrew R. Winters

Recent extreme tropical cyclones caused extensive damages to critical civil infrastructure globally. To better capture the unique hurricane wind characteristics, a large eddy simulation (LES) Hurricane Boundary Layer (HBL) model is…

流体动力学 · 物理学 2023-10-06 Tianqi Ma , Chao Sun , Paul Miller

Thermodynamic quantities of the hard-sphere system in the steady state with a small heat flux are calculated within the continuous media approach. Analytical expressions for pressure, internal energy, and entropy are found in the…

统计力学 · 物理学 2017-02-13 Y. A. Humenyuk

Meixner's historical remark in 1969 "... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined...." is investigated from today's insight. Several…

统计力学 · 物理学 2018-10-17 Wolfgang Muschik

From a new rigorous formulation of the general axiomatic foundations of thermodynamics we derive an operational definition of entropy that responds to the emergent need in many technological frameworks to understand and deploy thermodynamic…

量子物理 · 物理学 2019-11-21 Gian Paolo Beretta , Enzo Zanchini

In this paper, we show how the MEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twofold. First, we assess the performance of the MEP hypothesis…

大气与海洋物理 · 物理学 2017-03-21 Corentin Herbert , Didier Paillard

Carnot's four-part ideal-gas cycle includes both isothermal and adiabatic expansions and compressions. Analyzing this cycle provides the fundamental basis for statistical thermodynamics. We explore the cycle here from a pedagogical view in…

统计力学 · 物理学 2022-02-11 William Graham Hoover , Carol Griswold Hoover

When the difference between changes in energy and entropy at a given temperature is correlated with the ratio between the same changes in energy and entropy at zero average free energy of an ensemble of similar but distinct molecule-sized…

综合物理 · 物理学 2009-06-17 Petr Zimak , Silvia Terenzi , Peter Strazewski

There would be a perfect correspondence between the laws of classical thermodynamics and black hole thermodynamics, except for the apparent failure of black hole thermodynamics to correspond to the Third Law. The classical Third Law of…

综合物理 · 物理学 2007-05-23 A. J. Meyer

Emanuel's concept of maximum potential intensity (E-PI) estimates the maximum velocity of tropical cyclones from environmental parameters. At the point of maximum wind, E-PI's key equation relates proportionally the centrifugal acceleration…

大气与海洋物理 · 物理学 2022-01-26 Anastassia M. Makarieva , Andrei V. Nefiodov

We formulate a geometric framework in which physical laws emerge from restricted access to microscopic information. Measurement constraints are modeled as a gauge symmetry acting on density operators, inducing a gauge-reduced space of…

量子物理 · 物理学 2026-05-19 Tiago Pernambuco , Lucas Chibebe Céleri

We conduct an in-depth analysis of statistical flow properties calculated from the reference high-resolution Saturn simulation obtained by global climate modelling in Part II. In the steady state of this reference simulation, strongly…

地球与行星天体物理 · 物理学 2020-01-09 Simon , Cabanes , Aymeric , Spiga , Roland , M. B. Young

Despite the dangers associated with tropical cyclones and their rainfall, the origins of storm moisture remains unclear. Existing studies have focused on the region 40-400 km from the cyclone center. It is known that the rainfall within…

Potential vorticity (PV) is one of the most important quantities in atmospheric science. The PV of each fluid parcel is known to be conserved in the case of a dry atmosphere. However, a parcel's PV is not conserved if clouds or phase…

大气与海洋物理 · 物理学 2023-11-17 Parvathi Kooloth , Leslie M. Smith , Samuel N. Stechmann

The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

统计力学 · 物理学 2015-11-18 Robert H. Swendsen

The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here we introduce a new model for…

混沌动力学 · 物理学 2020-11-16 Gabriele Vissio , Valerio Lucarini

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

This paper generalizes isomorph theory to systems that are not in thermal equilibrium. The systems are assumed to be R-simple, i.e., have a potential energy that as a function of all particle coordinates $\textbf{R}$ obeys the…

软凝聚态物质 · 物理学 2020-10-06 Jeppe C. Dyre

We apply two independent data analysis methodologies to locate stable climate states in an intermediate complexity climate model and analyze their interplay. First, drawing from the theory of quasipotentials, and viewing the state space as…

大气与海洋物理 · 物理学 2021-07-07 Georgios Margazoglou , Tobias Grafke , Alessandro Laio , Valerio Lucarini

Entropy production plays an important role in the regulation and stability of active matter systems, and its rate quantifies the nonequilibrium nature of these systems. However, entropy production is hard to be experimentally estimated even…

统计力学 · 物理学 2024-10-23 Ruicheng Bao , Zhonghuai Hou