The Boltzmann Equation and Nucleus-Nucleus Collisions

作者: Rudi Malfliet

DOI: 10.1007/978-1-4684-5179-5_4

关键词: Classical fluidsVan der Waals equationEquation of stateLattice Boltzmann methodsvan der Waals forceBoltzmann equationPlasma modelingBoltzmann relationPhysicsMathematical physics

摘要: One of the very outstanding problems in study interacting many-particle systems is determination their bulk macroscopic properties and its verification with calculations based on microscopic interactions. For example, case classical fluids we know that equation state has a van der Waals form: $$(p + a{\rho ^2})(1 - b\rho ) = \rho kT$$ where p density, T temperature pressure. The constants b are principle determined by specifics liquid question. challenge now to obtain these through calculation starting from Lennard-Jones interaction between molecules. property equilibrium. There also non-equilibrium like ρ- T-dependence transports coefficients (shear viscosity, thermal conductivity diffusion). In order calculate one needs dynamical appropriate for processes. limit full equilibration this will tell us about equilibrium properties. A well known example such an Boltzmann equation, which however be modified correspond (in equilibrium) (we discuss point further on). any there whole framework available been studied many years past (see ref. 1).

参考文章(35)
S. Nagamiya, M. Gyulassy, High-energy nuclear collisions Advances in Nuclear Physics. ,vol. 13, pp. 201- 315 ,(1984) , 10.1007/978-1-4613-9892-9_3
David Chandler, John D. Weeks, Equilibrium Structure of Simple Liquids Physical Review Letters. ,vol. 25, pp. 149- 152 ,(1970) , 10.1103/PHYSREVLETT.25.149
Ichiro Yamashita, Setsuo Ichimaru, Nonlocal-density-functional theory of inhomogeneous electron gas: Metal surface Physical Review B. ,vol. 29, pp. 673- 681 ,(1984) , 10.1103/PHYSREVB.29.673
Stuart A. Rice, Alan R. Allnatt, On the Kinetic Theory of Dense Fluids. VI. Singlet Distribution Function for Rigid Spheres with an Attractive Potential Journal of Chemical Physics. ,vol. 34, pp. 2144- 2155 ,(1961) , 10.1063/1.1731836
R.J. Glauber, G. Matthiae, High-energy scattering of protons by nuclei Nuclear Physics B. ,vol. 21, pp. 135- 157 ,(1970) , 10.1016/0550-3213(70)90511-0
E. A. Uehling, G. E. Uhlenbeck, Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I Physical Review. ,vol. 43, pp. 552- 561 ,(1933) , 10.1103/PHYSREV.43.552
I. R. Mcdonald, J.‐P. Hansen, Douglas Henderson, Theory of simple liquids ,(1976)
J. Cugnon, Monte Carlo calculation of high-energy heavy-ion interactions Physical Review C. ,vol. 22, pp. 1885- 1896 ,(1980) , 10.1103/PHYSREVC.22.1885