00:01
Okay, so we're going to do from 1a, 1, a complexion and distribution.
00:08
So complexion refers to a specific microscopic arrangement of particles in a system that corresponds to a particular macroscopic state.
00:23
And it essentially details the exact microstate of the system.
00:26
And distribution pertains to how particles, energy, or properties are allocated among the available states or levels in a statistical sense.
00:45
Now, unlike a single complexion, distribution often represents a broader categorization of possible complexions or states according to certain statistical rules or probabilities.
01:10
Identical but distinguishable and identical but nondistinguishable so, first identical but distinguishable particles.
01:23
So those are the things that are the same in every physical aspect, for example, mass charge and etc., but can still be differentiated based on their positions or trajectories.
01:38
And classic examples are particles in systems where the labels or tracking of individual's particle is possible.
02:05
Okay so now we can talk about identicable but non -distinguishable particles.
02:16
This cannot be differentiated from one another by any intrinsic physical property, including their position in space, often due to quantum mechanical principles.
02:28
And this indistinguishability plays a crucial role in quantum mechanics.
02:33
3.
02:37
Canonical and microcanonical ensemble canonical ensemble is a statistical ensemble where the system is allowed to exchange energy with a heat reservoir, which leads to a fixed temperature but variable energy states.
02:52
It is described by the boltzmann distribution.
02:55
Distribution.
03:04
And microcanonical ensemble represents an isolated system with fixed energy, volume, and particle number, where no exchange of heat or particles with the surroundings occur.
03:18
Now, all accessible microstates have an equal probability of occurrence.
03:28
Okay, so okay, we're gonna start from degenerate states.
03:36
So those are these energy states that have the same energy level but are differentiated by other quantum numbers.
03:44
In other words, multiple quantum states corresponds to a single energy level.
04:12
And non -digerent states imply that each energy state is uniquely defined by its energy, with each energy corresponding to only one quantum state.
04:36
Okay, so we can see classical thermodynamics...