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The energy conservation is a general law of nature. In the classical physics, the energy W_{AB} of a conservative system {AB} that contains the objects A and B is equal to a sum of the positive energies W_A and W_B of the isolated objects A…

光学 · 物理学 2013-01-18 S. V. Kukhlevsky

The first part of this paper introduces sufficient conditions to determine conservation laws of diffusion equations of arbitrary fractional order in time. Numerical methods that satisfy a discrete analogue of these conditions have…

数值分析 · 数学 2022-03-07 Angelamaria Cardone , Gianluca Frasca-Caccia

This short survey paper is concerned with a new method to prove global well-posedness results for dispersive equations below energy spaces, namely $H^{1}$ for the Schr\"odinger equation and $L^{2}$ for the KdV equation. The main ingredient…

偏微分方程分析 · 数学 2007-05-23 Gigliola Staffilani

We study a system of a finite size charged particle interacting with radiation field by exploiting the Hamilton's principle for non-conservative system introduced recently by Galley[1]. The said formulation leads to the equation of motion…

经典物理 · 物理学 2016-08-03 Sandeep Aashish , Asrarul Haque

Augmented variational principles are introduced in order to provide a definition of relative conservation laws. As it is physically reasonable, relative conservation laws define in turn relative conserved quantities which measure, for…

数学物理 · 物理学 2015-06-26 L. Fatibene , M. Ferraris , M. Francaviglia

This work gives a van't Hoff law expression of Langmuir constants of different species for determining their occupancy in the nanocavities of clathrate hydrates. The van't Hoff law's parameters are derived from a fit with Langmuir constants…

地球与行星天体物理 · 物理学 2015-03-17 Azzedine Lakhlifi , Pierre Richard Dahoo

Equilibrium thermodynamics is grounded in the law of energy conservation, with a specific focus on how systems exchange energy with their environment during transitions between equilibrium states. These transitions are typically…

统计力学 · 物理学 2024-08-19 Karol Makuch

H3+ and the deuterated isotopomers are thought to play an important role in interstellar chemistry. The partition functions of H3+, D2H+ and D3+ are calculated to a temperature of 800 K by explicitly summing the ab initio determined…

天体物理学 · 物理学 2009-11-10 Jayesh Ramanlal , Jonathan Tennyson

The origin of a chemical reaction between two reactant atoms is associated to the activation energy, with the assumption that, high-energy collisions between these atoms, are the ones that overcome the activation energy. Here, we (i) show…

综合物理 · 物理学 2014-05-20 Andrew Das Arulsamy

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

统计力学 · 物理学 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

The evolution of a hadronic system after its chemical decomposition is described through a model that conserves the hadronic multiplicities to their values at chemical freeze-out. The state of the system is found as function of temperature…

高能物理 - 唯象学 · 物理学 2007-05-23 A. S. Kapoyannis

We describe a modified form of Smoothed Particle Hydrodynamics (SPH) in which the specific thermal energy equation is based on a compatibly differenced formalism, guaranteeing exact conservation of the total energy. We compare the errors…

天体物理仪器与方法 · 物理学 2009-06-18 J. Michael Owen

An exact solution of Lorentz-Dirac equations where the energy conservation law is violated, is described herein for the case of two charges.

高能物理 - 唯象学 · 物理学 2009-09-25 Danilo Villarroel , Rodrigo Rivera

It is the purpose of this work to develop new approach for chemical compositional reservoir simulation, which may be regarded as a sequential method. The development process can be roughly divided into the following two stages: (1)…

流体动力学 · 物理学 2015-12-29 Bakhbergen E. Bekbauov , Aidarkhan Kaltayev , Abdumauvlen Berdyshev

We lay the foundation of a circuit theory for chemical reaction networks. Chemical reactions are grouped into chemical modules solely characterized by their current-concentration characteristic, as electrical devices by their…

分子网络 · 定量生物学 2023-07-27 Francesco Avanzini , Nahuel Freitas , Massimiliano Esposito

A recent experiment reported for the first time the preparation of a Fermi degenerate gas of polar molecules and observed a suppression of their chemical reaction rate compared to the one expected from a purely classical treatment. While it…

量子气体 · 物理学 2021-01-04 Peiru He , Thomas Bilitewski , Chris H. Greene , Ana Maria Rey

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity…

高能物理 - 唯象学 · 物理学 2007-05-23 R. A. Schneider , T. Renk , W. Weise

A reaction-diffusion system with mass conservation modelling cell polarity is considered. A range of the parameters is found where the solution converges exponentially to the constant equilibrium and the $\omega$-limit set of the solution…

偏微分方程分析 · 数学 2021-04-21 Evangelos Latos , Takashi Suzuki

We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current…

强关联电子 · 物理学 2009-11-11 B Sriram Shastry

We show that generic systems with a single relevant conserved quantity reach the Carnot efficiency in the thermodynamic limit. Such a general result is illustrated by means of a diatomic chain of hard-point elastically colliding particles…

统计力学 · 物理学 2013-02-13 Giuliano Benenti , Giulio Casati , Jiao Wang
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