Statistical Mechanics: Can one assume an idealized gas is non-relativistic

In summary, statistical mechanics is a branch of physics that uses statistical methods to study large systems of particles, such as gases, liquids, and solids. This field includes the concept of idealized gas, which is a theoretical model that assumes certain properties of gas particles. These assumptions include being point-like, having no interactions, and obeying certain laws of motion. An idealized gas is typically assumed to be non-relativistic, meaning that the effects of relativity on the motion of particles are negligible. However, this assumption has limitations as it neglects the effects of relativity and particle interactions, which can become significant at high velocities. Despite these limitations, statistical mechanics has many real-world applications, including in thermodynamics, chemistry, material science
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binbagsss
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In general when one talks about an idealized gas, should/could one assume it is non-relativistic? (s.t E=p^2/2m will hold)

many thanks
 
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binbagsss said:
In general when one talks about an idealized gas, should/could one assume it is non-relativistic? (s.t E=p^2/2m will hold)
Unless explicitly told otherwise, I would always assume a non-relativistic regime.
 
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What is statistical mechanics?

Statistical mechanics is a branch of physics that uses statistical methods to study the behavior of large systems of particles, such as gases, liquids, and solids.

What is an idealized gas?

An idealized gas is a theoretical model that assumes certain properties of gas particles, such as being point-like, having no interactions with each other, and obeying certain laws of motion.

Why do we assume an idealized gas is non-relativistic?

We assume an idealized gas is non-relativistic because the speeds of gas particles are much lower than the speed of light, and thus the effects of relativity on their motion are negligible.

What are the limitations of assuming an idealized gas is non-relativistic?

Assuming an idealized gas is non-relativistic neglects the effects of relativity on the motion of gas particles, which can become significant at very high velocities. It also ignores the interactions between gas particles, which can affect the behavior of the gas.

What are the real-world applications of statistical mechanics?

Statistical mechanics has many applications in various fields, including thermodynamics, chemistry, and material science. It is used to understand the behavior of gases, liquids, and solids, and to predict their properties and interactions. It is also used in the study of phase transitions, chemical reactions, and the behavior of complex systems.

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