**618 phase-transition questions.**

Imagine that we had a space station with a relatively large hangar, and we allowed a ball of water to accumulate that had a 10 meter diameter. While the hangar is pressurized, someone decides to use a ...

I want to plot phase diagrams of water that show its density, heat capacity, and entropy as it undergoes various first order (discontinuous) phase transitions with increasing temperature. I'm ...

I keep bumping into order parameters in scientific papers, reviews, articles, etc, but I can never get a firm grip on them. Order parameters seem terribly subjective to me. Basically the way I ...

More concretely: When looking at the Ising model in the description of Bogoliubov fermions, we get an explicit expression for the energy gap, that vanishes for a particular value of the magnetic field....

I'm working with the standard Boson Hubbard model. It's Hamiltonian is defined in Fock space and commutes with total particle number N.
$$[{{\hat H}_{BH}},\hat N] = 0$$
So I can simultaneously ...

If I take pure carbon and heat it in an inert atmospher, at what temperature will it vaporize into carbon gas?

At some point, all four forces were one force. (another question: what exactly does that mean?). At some point gravity and the strong force separated out leaving the electroweak force. Then the ...

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 ...

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{...

In the quantum$^1$ system with a continuous symmetry (in the Thermodynamic limit) relating the ground states $\newcommand{\ket}[1]{\left|#1\right>}\{\ket{\theta}\} \newcommand{\bra}[1]{\left<#1\...

When did "scale invariance" started to be seen as an important concept
in the theory of phase transition?
Phase transition and critical points started to be investigated in earnest in the middle of ...

I am new to this community and I have little to no background in physics, so I apologise should I make a glaring factual mistake in my question.
I briefly studied the phase transitions of matter and,...

We know first order phase transitions, like second order transitions, also have order parameters. They too can be dealt with Landau theory.
What kind of temperature dependence of the order parameter ...

How is relative humidity determined by temperature and pressure? What is the equation and its derivation? The following is a specific scenario.
Suppose a cubic container encloses a solution consists ...

The correlation length gives (approximately) the distance over which a spin flip has an effect. For systems with ordered phases, at low temperatures the correlation length is then small (since a ...

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 ...

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, ...

It is slightly difficult to phrase my question because I'm looking more of an entry point to something I know is a large field rather than a solution to a specific problem.
I occasionally see papers ...

I assume that the reason water freezes is because as you decrease the temperature, the kinetic energy of the water molecules decreases and the dipole bonding potential eventually over comes the escape ...

Every textbook of statistical mechanics will derive the Bose-Einstein condensation(BEC) of free boson. I know how to derive in this way. It gives the heat capacity of free boson is $C\propto T^{3/2}$. ...

In the past I asked this question asking about a subtlety in the Ginzburg criterion for mean field theory and the Gaussian approximation.
I am now having a hard time determining in general what is ...

I'm wondering whether ferrimagnetic materials have a NĂ©el or Curie temperature (or both) and whether it depends on the material. They would be temperatures at which the material undergoes a magnetic ...

Suppose we have a Bethe Lattice with alternating numbers of neighbours,starting from 3 and then 4 and so on.
So the zeroth point has 3 neighbours, each of those 3 first neighbours has 4 neighbours (3 ...

As stated in the title, why does a Heisenberg magnet break the $O(3)$ symmetry while degrees of freedom of the underlying spins are $SU(2)$?

I like to understand that which one of the following items seems colder, when we touch them?
zero temperature ice
zero temperature water
Why?

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 ...

According to P-T phase diagram, at a constant pressure, liquid and gas attain equilibrium only at a certain temperature, (i.e. boiling point). So in a situation where I'm keeping a liquid in a closed ...

In crystalline solids, the constituent atoms sit close to each other in their equilibrium positions. The solid is not compressible because as the pressure is increased, the atomic orbitals tend to ...

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 ...

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 ...

I'm probably not entirely right, but evaporation differs from boiling in that it is surface rather than bulk phenomenon driven by a pressure gradient rather than temperature. If a volume of liquid is ...

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 ...

When the temperature is same, it means that the kinetic energy of the particles of both phases are the same,
so what is the difference between a vapor and liquid of a substance, such as ethanol, when ...

In the paper of Landau , "On theory of phase transitions " , page 3 http://www.ujp.bitp.kiev.ua/files/journals/53/si/53SI08p.pdf
It's is not clear to me what is meant by "linear invariant" in this ...

Echoing the marvelous question of a material that freezes when heat is added at constant pressure, I am wondering whether there is a material that would boil when heat is removed at constant pressure. ...

Context:
At the end of animation movie Steamboy, a huge steam engine's pressure vessel breaks, which results in the escaped steam freezing to ice.
I've been thinking about this -- is it really ...

It is well established that QCD is asymptotically free i.e at high energy scales the QCD coupling tends to zero. Hypothetically, what if QCD was not asymptotically free and instead asymptotically safe?...

There is a generalized concept of Berezinskiiâ€“Kosterlitzâ€“Thouless (BKT) transition in any dimension [not just in 2 dimensional classical system or 1+1 dimensional quantum system], such that the ...

wikipedia says:
Strontium peroxide is produced by passing oxygen over heated strontium
oxide. Upon heating in the absence of O$_2$, it degrades to SrO and O$_2$.
I found some literatrure about ...

So I saw a video of LNG (liquid natural gas) and when it got in contact with water, which was room temp the LNG evaporated instantly...why?
Ice takes a while to evaporate like a sec even when hot ...

The answer is probably no. But can you make a metal denser by melting it and make it cool down under high pressure? Or would it just crack under internal stress when it returns to a solid? I'm going ...

I know that it seems very obvious that the amount of energy required to vaporize a certain quantity of water at solme temp. Tsat1 must be less than the amount of energy to do the same thing at Tsat2 ...

I understand that adding/sprinkling, say NaCl, on a highway depresses the freezing point by making any moisture on the road harder to freeze as the NaCl molecules get in the way of phase transition. ...

If I have small piece of solid, for example, pure iron powder, fine sand , (at room temperature) then I cut it slowly into half again and again. Every times, after I cut it, I wait for temperature ...

I want to ask about the behavior near critical point.
Let me take an example of ferromagnet.
At $T < T_c$, all spins are aligned to the same direction thus it is in the ordered state, scale ...

Let us consider a cosmic phase transition, in which fermions $\psi_f$ condense and the vacuum expectation value $|\langle \bar{\psi}_f \psi_f\rangle |$ of the resulting fermion-bilinear field gives ...

Now the prominent Lee-Yang theorem (or Physical Review 87, 410, 1952) has almost become a standard ingredient of any comprehensive statistical mechanics textbook.
If the volume tends to infinity, ...

What is the difference between the states of matter and the phases of matter? Should solid, liquid and gases be called states of matter or phases? How many states and phases are there? Different ...

Plasma is often described as a separate phase of matter. The defining property of plasmas are they they are gases of freely moving charged particles, allowing large scale electric and magnetic ...

I'm working on a project studying the transverse field Ising model in 1D with periodic boundary conditions, given by
$$H = - J \sum_{i=1}^{N} \sigma^z_i \sigma^z_{i+1} - h \sum_{i=1}^N \sigma^x_i$$
I ...

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

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