The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [statistical-mechanics]

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

3,707 questions
Filter by
Sorted by
Tagged with
14 views

Transformation to get rid of distribution multiplets

Are there any well-known distribution transformations that account for doublets, triplets, higher multiplets due to time series independent peaks occasionally being too close to resolve? I feel like ...
30 views

Quantum probability distributions via canonical traces

Given $N$ distinguishable quantum particles in the canonical ensemble, we can estimate the probability of finding one of those, labelled by $j$, in a certain position $x\in\mathbb R$ by computing \...
114 views

Trick for calculating the thermal entropy of the SYK model in the large N limit

Reading about the SYK model I encounter a trick that should help to calculate the thermal entropy of the system. I am not able to understand what they are doing though. Particularly the part from eq....
25 views

quantum order in a (generalized) thermal steady state

It is known that starting from an initial product state, non-integrable systems will thermalize and eventually local observables can be described by a Gibbs ensemble. It has also been argued that a ...
36 views

Partition function for generic spin state

I am studying statistical mechanics starting with the Gibbs state and the postulate of the partition function. I learned that the partition function is a sum over all the possible states of a system ...
86 views

Relation between entropy and information. Is entropy absolute or relative?

I always thought of entropy as absolute, i.e, many people can measure it for a system and they will all come up with the same number. However, the entropy in statistical mechanics is defined as -Klog(...
48 views

Potential energy of an ideal gas

According to equipartition theorem, for ideal gas in thermal equilibrium, each vibrational mode will get $kT/2$ for kinetic energy and $kT/2$ for potential energy. But at the same time, we assume ...
22 views

Spatial Correlation Function and Ensemble average

Well, I was reading the Statistical Mechanics book by Pathria, to understand the concepts of the correlation function. I want to quote some lines. Spatial correlation functions are based on n-...
52 views

What does it mean for the grand potential $\Phi$ to be minimised for a process at constant $T,V,\mu$, when $\Phi$ is a function of $T,V,\mu$?

I've read from a few places like Kjellander, R. (2019). Statistical Mechanics of Liquids and Solutions: Intermolecular Forces, Structure and Surface Interactions Volume I. p.83. and this Physics Stack ...
In one of the problem sets for my course on statistical mechanics, there was a question asking us to consider the semi-classical limit of the partition function $\exp(-\mu / kT) \gg 1$. My question is ...