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Boltzmann Equation in Aggregation Kineticsстатья Глава в книге
- Авторы: Brilliantov Nikolai V., Osinsky Alexander I., Pöschel Thorsten
- Сборник: Nonequilibrium Thermodynamics and Fluctuation Kinetics. Fundamental Theories of Physics
- Том: 208
- Глава в коллективной монографии
- Год издания: 2022
- Издательство: Springer International Publishing AG
- Местоположение издательства: Cham, Switzerland
- Первая страница: 191
- Последняя страница: 216
- DOI: 10.1007/978-3-031-04458-8_10
- Аннотация: We consider the application of the Boltzmann equation to aggregation kinetics, where the transport mechanism is the ballistic motion of particles. This refers to molecular gases, granular gases, and, hypothetically, dark matter. Two aggregation models are analyzed—random and impact energy-dependent aggregation. The latter is associated with different interparticle forces responsible for agglomeration. We start from the Boltzmann equation governing the evolution of the mass–velocity distribution functions of different species—the agglomerates of different sizes and derive generalized Smoluchowski equations. These describe the time dependence of the agglomerates densities and their mean kinetic energy (partial temperatures). We obtain exact solutions to these equations for simplified cases and develop a scaling theory for the asymptotic behavior of the system. We explore numerically, the agglomeration kinetics and observe a very rich behavior of the system. We reveal new surprising regimes and construct the according kinetic phase diagram. The scaling theory is in excellent agreement with the simulation results.
- Добавил в систему: Осинский Александр Игоревич