All Questions
Tagged with statistical or statistical-mechanics
7,315 questions
3
votes
1
answer
72
views
The density operator as a function of the Hamiltonian in equilibrium
I am studying statistical mechanics on my own with several books (Pathria, Huang, Reichl, etc..) and there is a conclusion which is stated in all these books is but never showed. This might be so ...
-8
votes
0
answers
66
views
Binary entropy maximization gives ln 2 = 0.693, matching Ω_Λ. Coincidence or connection? [closed]
I'm working through a statistical mechanics problem and found something
that matches cosmological observations surprisingly well.
Binary Entropy Maximization
Consider N distinguishable patches, each ...
- 17
0
votes
2
answers
77
views
Free energy at 0 K from density functional theory and statistical mechanics
Helmholtz free energy of a system of atoms (for example — a perfect crystal) at $0$ K can be obtained by performing a static density functional theory (DFT) calculation (neglecting the effects of zero ...
-1
votes
0
answers
71
views
Time-domain algorithm to generate noise with Power Spectral Density (PSD) $S(\omega,T) \propto \coth(\omega/T)$ sequentially [closed]
I need to numerically generate colored noise with a Power Spectral Density (PSD) $S(\omega,T) \propto \coth(\omega/T)$ (quantum thermal noise). I cannot use standard Spectral Synthesis (Inverse FFT) ...
- 29
2
votes
0
answers
79
views
Operations with the hard sphere potential
In statistical mechanics (in particular I'm interested in applying the Landau Kinetic Equation to a hard spheres gas), it is often useful to get the gradient or the Fourier transform of the ...
0
votes
0
answers
52
views
Is there a connection between Ehrenfest equation and von Neumann equation? [closed]
I understand how Ehrenfest is sort of giving a correspondence between classical and quantum whereas von Neumann is more like a quantum mechanical equivalent of Liouvilles equation. But do they share ...
- 1
1
vote
0
answers
56
views
Deriving the Boltzmann equation [closed]
In classical mechanics, the space of states is the cotangent bundle of configuration space. This space of states is also called phase space. In the physical case where phase space represents all ...
- 4,113
1
vote
0
answers
62
views
Curious about entropy and information theory in Bohmian mechanics
I've been playing around with Bohmian mechanics in electronic systems. I really like the interpretation of particle trajectories in terms of the continuity, Hamilton Jacobi equation and guiding ...
- 11
1
vote
0
answers
32
views
Source recommendation for spin glasses and their relation with SYK model
I want to learn Edwards-Anderson and Sherrington-Kirkpatrick models properly with their calculations (Replica symmetry, phase transition, etc.). I need couple of sources such as books and papers ...
3
votes
1
answer
178
views
Ideal gas equation
While deriving ideal gas equation we assumed the container to be a cuboid and then we took the volume to be $lbh$ where l, b, h are length, breadth, and height respectively. Will the equation still be ...
- 89
1
vote
1
answer
78
views
Phase transition for first moments in the 2D random-bond Ising model
I have a very basic confusion about the 2D random-bond Ising model on a square lattice with Boltzmann weight
$$\omega(J_{ij},\sigma_j)=\prod_{ij}(1-p)^{\delta_{J_{ij}=1}} p^{\delta_{J_{ij}=-1}} e^{-\...
- 397
0
votes
1
answer
154
views
Cooling molecules with photons
Let's say there is a group of molecules confined in a box. Because of the molecules, the temperature in the box reaches up to 5000 kelvin. Each molecule in the box has about 1.036 * 10^-19 Joules (...
- 507
0
votes
0
answers
46
views
Maxwell-Juttner distribution and its derivation
I am looking for good notes on the Maxwell-Juttner distribution and its derivation. I stumbled across this post Calculation of Maxwell-Juttner distribution integral but I was unable to find reference ...
- 9
1
vote
2
answers
138
views
What is the mechanism behind the Curie point in ferromagnets?
I just finished up a uni course on magnetism, which mostly made sense, but I've been left with some questions about ferromagnetic behaviour; in particular, I'm not satisfied with my lecturer's ...
- 13
0
votes
1
answer
72
views
What causes the difference in the graphs showing the dependence of a molecule's potential energy on distance?
"The potential curve will have the shape shown in the figure above if the molecules approach each other in plane A along the line connecting their centers".
"If the molecules approach ...
- 39