Home Page Overview Site Map Index Appendix Illustration About Contact Update FAQ



Phase Space Evolution in Phase Space A general definition of entropy was formulated by Boltzmann in 1872. It is expressed in terms of "coarse-graining volume" in the phase space, which amalgamates the positions and momenta of all particles in a system into one point (Figure 01f). The relentless increase toward higher entropy until reaching its maximum (i.e., in a state of thermal equilibrium) is related to the fact that the evolution of the phase point is

Figure 01f Phase Space [view large image]

Figure 01g Phase Space Evolution

more favorable toward the larger "coarse-graining volume" (Figure 01g).

Go to Next Section
 or to Top of Page to Select
 or to Main Menu