2024 Nobel Prize in "Physics" by Ciro Santilli 35 Updated +Created
South China Morning Post by Ciro Santilli 35 Updated +Created
World on a Wire by Ciro Santilli 35 Updated +Created
Chinese newspaper by Ciro Santilli 35 Updated +Created
Israeli company by Ciro Santilli 35 Updated +Created
Story about the simulation hypothesis by Ciro Santilli 35 Updated +Created
Life simulation game by Ciro Santilli 35 Updated +Created
List of memes by Ciro Santilli 35 Updated +Created
Idealist by Ciro Santilli 35 Updated +Created
A few of the "I'd rather starve and do what I love than work some bullshit job people":
Single photon detection by Ciro Santilli 35 Updated +Created
Single photon production by Ciro Santilli 35 Updated +Created
Field electron emission by Ciro Santilli 35 Updated +Created
Free electron model by Ciro Santilli 35 Updated +Created
Drude model by Ciro Santilli 35 Updated +Created
Potential barrier by Ciro Santilli 35 Updated +Created
Maxwell-Boltzmann vs Bose-Einstein vs Fermi-Dirac statistics by Ciro Santilli 35 Updated +Created
For example, Maxwell-Boltzmann statistics describes how the speeds of particles are distributed in an ideal gas.
The temperature of a gas is only a statistical average of the total energy of the gas. But at a given temperature, not all particles have the exact same speed as the average: some are higher and others lower than the average.
For a large number of particles however, the fraction of particles that will have a given speed at a given temperature is highly deterministic, and it is this that the distributions determine.
One of the main interest of learning those statistics is determining the probability, and therefore average speed, at which some event that requires a minimum energy to happen happens. For example, for a chemical reaction to happen, both input molecules need a certain speed to overcome the potential barrier of the reaction. Therefore, if we know how many particles have energy above some threshold, then we can estimate the speed of the reaction at a given temperature.
The three distributions can be summarized as:
A good conceptual starting point is to like the example that is mentioned at The Harvest of a Century by Siegmund Brandt (2008).
Consider a system with 2 particles and 3 states. Remember that:
Therefore, all the possible way to put those two particles in three states are for:

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