Halcyon 发表于 2025-3-21 17:18:58
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Boltzmann Equation,ic equations. In the kinetic theory of gases it is conventional to justify the kinetic equation by showing its derivation from the Newtonian or quantum equations of motion for the many-particle system in hand under suitable assumptions of a statistical nature. Although such justification is useful i祸害隐伏 发表于 2025-3-22 01:36:21
Equilibrium Solution and Local Variables, equilibrium solution is unique. He achieved this aim with the help of the . function, which may be regarded as a Lyapounov function. He preceded Lyapounov in introducing such a function, although the context was somewhat different from Lyapounov’s, which is about ordinary differential equations. Bo返老还童 发表于 2025-3-22 08:04:15
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The Chapman-Enskog and Moment Methods, potential models. It is, therefore, necessary to resort to an approximate method of solution. The most frequently used approximate methods of solution are the Chapman-Enskog method and the Maxwell—Grad moment method . Hilbert developed a solution method for the Boltzmann equation as an保守党 发表于 2025-3-22 14:34:21
Classical Nonequilibrium Ensemble Method,ium ensemble distribution function such as the canonical ensemble distribution function. Mean values are then computed for macroscopic observables therewith. By corresponding the mean values so computed of the mechanical variables such as energy, pressure, and the number of particles to the thermodyCounteract 发表于 2025-3-22 21:04:47
Transport Processes in Fluids,the fluxes in the system. As such, they contain the information on the material properties and, in particular, the transport processes occurring in the system. In this chapter we first show how to extract such information and under what condition the conventional theory of linear transport processesexhilaration 发表于 2025-3-22 23:57:17
Quantum Nonequilibrium Ensemble Method,t phenomena in semiconductors and small quantum devices at low temperatures, radiation interacting with particles, quantum gases at low temperatures, and so on usually require quantum mechanical treatments. The questions then arise of whether quantum systems can be described in a macroscopic formaliAnhydrous 发表于 2025-3-23 04:48:59
Nonequilibrium Ensemble Method for Dense Fluids,a lesson about the kinetic theory of irreversible processes and provided us with a paradigm for the treatment of such processes in dense and complex fluids. The Boltzmann kinetic theory is based on a time reversal symmetry breaking irreversible kinetic equation. It is an evolution equation for singlJIBE 发表于 2025-3-23 07:42:26
ly significant sound films. The countries represented here are France, Italy, England, Belgium, Russia, India, China, Cuba, Germany, Japan, Russia, Romania, Czechoslovakia, Brazil, Taiwan, Austria, Afghanistan, South Korea, Finland, Burkina Faso, Mexico, Iran, Israel, Colombia, and the United States