what is purpose to dividing the phase space into cells
Answers
Answer:
It is, quite simply, the reason that statistical mechanics works when applied to classical systems. It is the reason we can divide up the continuous phase space into tiny cells, call each cell a microstate, and then treat them as if they were discrete. To understand why, imagine what would happen if it were not true.
Answer:
The reason for this is that when statistical mechanics is applied to classical systems, it works.
Explanation:
The setup of the system, i.e. the locations of the constituent particles, is represented by a point in configuration space. The state of the system is represented by a point in phase space, which represents the combined locations and velocities of the constituent particles. The mapping of a particle's velocity and location on a two-dimensional grid is known as phase space. In a 2N-dimensional space, it also relates to the monitoring of N particles. The canonical variables of Hamiltonian mechanics are frequently employed as coordinates.
Thus, a number can be assigned to each cell in phase space that corresponds to a system state.