# Questions tagged [statistical-mechanics]

The study of large, complicated systems employing statistics and probability theory to extract average properties and to provide a connection between mechanics and thermodynamics.

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### Is there a method to represent the ground state of the Toric code for large sizes? [closed]

In the case of a system with $n$ spins, the vector size becomes $2^n$ if you use the Kronecker product. Thus, it seems impossible for me to create a quantum state using tools like MATLAB for systems ...
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### Distributing 3 distinct particles among 4 distinct energy states

Essentially, the question boils down to this: "Do we need to consider the order of distinct particles occupying the same energy level in a quantum system ?" For further clarification, I have ...
22 views

### Relation between electron temperature and electronic mode of energy for a gas

I have been doing some introductory reading on plasma physics as part of my research, and I am currently trying to understand the concept of electron temperature. Based on my basic understanding, ...
468 views

### Physical meaning of symmetric and antisymmetric wavefunction

On describing Bosons and Fermions, the symmetry of wavefunction is introduced first. Here, If two particles a and b, are in two states n and k respectively, we get the wavefunction individually. On ...
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1 vote
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### Thermal flunctuations of density in thermal equlibrium? [closed]

According to physics a fluid or gas in thermal equilibrium is not exactly homogeneous. Locally its density undergoes random fluctuations which are small compared to the corresponding equilibrium value....
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### Is the energy spectrum of molecules of an ideal gas at equilibrium in an isolated system the Maxwell-Boltzmann distribution? [closed]

The energy spectrum of an ideal gas at equilibrium in a closed system at thermal equilibrium with its surroundings is described by the Maxwell-Boltzmann distribution. If the system is then isolated ...
36 views

### Does detailed balance apply if electrons and ions have different temperatures

Suppose I have a plasma where the ion temperature $T_i$ is different from the electron temperature $T_e$. Does detailed balance still exist between recombination and ionization?
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### The usage of temperature in quantum mechanics

This is a follow up question for my previous question, because now I am more confused than I was before. In a regular quantum mechanics course, temperature plays no role as it does not appear in the ...
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