**650 phase-transition questions.**

When looking into the topic of "self-organized criticality," (SOC) one often comes across descriptions of SOC as a state where "the system has no characteristic length or time scale." (Examples here ...

Yes, I am serious. I thought it was interesting that I was reducing some fluid the other day, and I put in my alerting thermometer to warn me of a rising temperature which I expected as the water ...

In transition from liquid to vapour phase most of the heat goes to increase the-
A. Internal energy
B. Potential energy
C. Temperature
D. Both internal energy and potential energy.

In the books I have seen two descriptions of what the heat capacity does across a first-order phase transition. The diagram below seems to indicate that it decreases whilst in other places I have seen ...

I'm looking for the dynamical exponent z (relaxation time) of the Curie-Weiss - Ising like model with infinite-range interactions ($J \sim 1/N$).
Does anyone know a reference where this was solved? ...

I am Studying Phase Transitions, starting from simple VdW equation up to Mean-Field&Landau Theory. I have many books such as Huang Kerson-Statistical mechanics, Yeomans- Statistical Mechanics of ...

This question is inspired by this question/answer pair: Is this formula for the energy of a configuration of 3 fluids physically reasonable?
Consider three immiscible fluids forming contact surfaces, ...

Boiling is a non-equilibrium process. Which equilibrium (mechanical, chemical and thermal) are not maintained during boiling and why?

How much water from the ocean is evaporated for a storm over water?
I am trying to figure out what conditions will cause the most evaporation or how to calculate the amount of water evaporated for a ...

Suppose a superconductor which is in a normal state (i.e. $T>Tc$) is subjected to a magnetic field. As soon as magnetic field switched from 0 to some value, eddy currents will develop on the ...

I have been reading papers by E.T. Jaynes recently about viewing all of statistical mechanics as just Bayesian inference applied to physics. (For an introduction: https://journals.aps.org/pr/abstract/...

The main quantity in the study of dynamical quantum phase transition (DQPT) is Loschmidt echo amplitude defined as
$G(t)=\langle \Psi_{0}|\Psi_{0}(t)\rangle=\langle \Psi_{0}|e^{-iHt}|\Psi_{0}\rangle$...

Suppose we have the Classical Heisenberg Model of N spins $\vec S_i$ (unit vectors), external field $\vec H // \hat z $
$$ {\cal{H}} = -2J \sum_{<i,j>} \vec S_i \cdot \vec S_j - gμ_B \sum_i \...

In the context of the Landau Theory of phase transitions, applying the mean field theory in an attempt to describe transitions such as the Nematic - Isotropic, the Landau energy density is given by
$...

I noticed that some physical phenomena require a system of size above some critical value to be observed. Two examples I know are:
For a single-atom gold wire, there is a critical number of atoms to ...

In dynamical systems a bifurcation describes the phenomenon where, as a system parameter is varies, a qualitative property of the system might be altered. Similarly, in statistical physics, a ...

I recently started learning electricity in A level physics and came across the concept of superconductivity. I find this very intriguing due to its capabilities.
My questions are:
What are the ...

The Kosterlitz-Thouless transition is often described as a "topological phase transition." I understand why it isn't a conventional Landau-symmetry-breaking phase transition: there is no local ...

Can someone explain in both layman's terms and also technically why when I pulled my glass filled with liquid soda from the freezer, the liquid soda quickly froze?
Doesn't this violate the 2nd law of ...

I put a sealed bottle of commercially available drinking water in a freezer and let it get really cold, but not frozen solid. The water is not carbonated. Then I remove the bottle and place it in a ...

In standard treatments the Landau (mean field) expansion for the free energy in this case includes a field-dependent term
\begin{equation*}
-Bm
\end{equation*}
where $B$ is an external field and $m=MV$...

During isothermal compression of water vapor (below critical temperature), the pressure increases initially, and then remains constant up to certain point, and then steeply increases with small ...

How does the wave ordering vector $Q$ order a CDW? I saw this vector while studying the following system.
We have a system with $N$ sites and $N/2$ spinless fermions and system is in the fully ...

In 2 lines this book says that the second derivative of the thermodynamic
Helmholtz free energy density $a\left(\rho,T\right)$ with respect to density
of a one-component fluid, $\rho$, when we ...

Why do the Gibbs free energies of a superconducting and a normally conducting phase must be equal at the transition point?
I'm following Mehran Kardan's Statistical Physics course on MIT OCW. Working ...

Is it possible that in open systems can occur phase transitions if the required conditions (i.e., temperature and pressure) are met? Are there examples?

The question is about proving the following relation :
Cs=(dq/dT)s=Cp-(αVΔH/ΔV)
For the first order phase transition,where clausius equation applies.
Where Cs=heat capacity along coexistence curve ...

During my studies on Extra-dimension BSM models, I encountered some discussion about the "Graceful exit problem" some model suffers in cosmology.
In particular, in this paper https://arxiv.org/abs/...

As we all know at normal boiling point, vapor pressure of water is equal to atmospheric pressure. Vapour pressure of water is pressure exerted by its vapor(in dynamic equilibrium with water) on the ...

Crystalline solids have a long-range order (where symmetry is broken) but liquids have only a short-range order (where no symmetry is broken). Ferromagnets have a long-range magnetic order while a ...

In my view they both are same thing.
Boiling point is the temp at which vapor pressure of water becomes greater than pressure outside vessel. Liquid water change it's phase during this. And.
At a ...

How does both hold:
Coleman-Mermin-Wanger theorem
continuous symmetries cannot be spontaneously broken at finite
temperature in systems with sufficiently short-range interactions in
dimensions ...

If water vapor is pulled inwards and cooled at a fast enough rate could if be frozen back into a solid form? i understand that they would have to be froze together as soon as contact is made but if ...

What makes the distinctions between the soliton objects in Minkowski or in Euclidean spacetime?
It looks that usually, the Euclidean path integral is easier to be performed in many cases. In fact, ...

I recently read in a paper that Monte Carlo integration is very slow near phase transitions. I couldn't understand the concept properly. The paper is Phys. Rev. B 95, 035105 (2017).

According to Gibbs phase rule, only one intensive property is required to completely specify a simple compressible system which is in a liquid/vapor equilibrium.
F = 2 + C - P
For a pure substance, ...

Recently, I took a lecture in which professor showed a graph which was similar to following figure
Professor told that if there is a metastable state, it means that there must be some kind of first ...

The usual story of symmetry-breaking quantum phase transitions (I won't consider topological transitions here) goes like this: you have a Hamiltonian $H(g)$ describing an infinite system which depends ...

While making a cup of tea in the office kitchen, a colleague asked me this question and neither of us could answer with any certainty. We're guessing it has something to do with the pressure of the ...

Here's a picture of my supposed "cooler":
The apparatus has following properties:
The bottom and upper part: thermally very conductive
Side: thermally very non-conductive
The "some liquid" is an ...

Let's say you can't get to the kettle for a few minutes after the kettle starts to whistle.
Presumably the temperature of the water inside the kettle is still rising, past boiling point If there wasn'...

I've got a question about the boiling of water. I'm a first year physics student and from the Netherlands.
I've searched alot about the boiling of water and this confused me. Everyone said something ...

Cooling a bosonic gas leads to a phase transition into the Bose-Einstein condesate. This is characterised by a symmetry broken ( U(1), by choosing a specific phase for the macroscopic wavefunction) ...

Suppose you have a glass of water at room temperature. Now suppose you put the glass of water on a weighting scale. What the quantity actually measures ?
I have read that in fluids are basically lots ...

In the wiki article phase transition, the ferromagnetic phase transition is listed both in Ehrenfest second order phase transition and continuous phase transition in modern classification. Is there a ...

I have a question regarding how the virial expansion relates to phase transition. I watch the lecture https://www.coursera.org/learn/statistical-mechanics/lecture/1a5Di/tutorial-3-algorithms-exact-...

I am reading this resource to learn statistical mechanics: http://blancopeck.net/Statistics.pdf
I am trying to learn about the partition function, which as I understand it, is equal to the number of ...

The question is in the title.
Say we have a system where:
$$\xi \propto |T-T_c|^{-\nu}$$
In a finite system, $\xi$ cannot diverge and is limited by the size of the system. Thus:
$$
L =|T_\text{...

Crossposted from math.stackexchange. (Link: https://math.stackexchange.com/questions/2848558/is-this-function-meromorphic)
Question
Let
$$e^{g\left(\tau,T,J_1,J_2\right)}=\frac{2}{\left(\frac{J_1}{...

I am aware that the evaporation process causes cooling in the remaining liquid, but why?
If anyone can give me the maths and or equations to prove / show this I would be most appreciative.

- thermodynamics
- statistical-mechanics
- condensed-matter
- water
- quantum-field-theory
- temperature
- critical-phenomena
- ising-model
- symmetry-breaking
- phase-diagram
- solid-state-physics
- pressure
- ice
- everyday-life
- states-of-matter
- renormalization
- quantum-mechanics
- physical-chemistry
- evaporation
- superconductivity
- homework-and-exercises
- computational-physics
- material-science
- topological-phase
- superfluidity

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