In chemistry, thermodynamics, and many other related fields, phase transitions (or phase changes) are the physical processes of transition between the basic states of matter: solid, liquid, and gas, as well as plasma in rare cases.
A phase of a thermodynamic system and the states of matter have uniform physical properties. During a phase transition of a given medium, certain properties of the medium change, often discontinuously, as a result of the change of external conditions, such as temperature, pressure, or others. For example, a liquid may become gas upon heating to the boiling point, resulting in an abrupt change in volume. The measurement of the external conditions at which the transformation occurs is termed the phase transition. Phase transitions commonly occur in nature and are used today in many technologies.
I'm trying to investigate the possibility of martensitic transformation in a non-iron alloy, described as a single-phase alpha-solid-solution (Nickel-Silver CuNi12Zn25Pb1, CW404J). I know that Cu-Ni-Zn alloys with higher zinc amounts show even shape memory effects. And that CuNi12Zn25Pb1 is no...
So for part a, I separately minimized F wrt ##\theta## and ##P## and got the following.
$$\frac {\partial f} {\partial \theta} = a_{\theta}(T-T_{\theta})\theta + b_{\theta}\theta^3 - tP = 0$$
$$ \frac {\partial f} {\partial P} = \alpha(T-T_P)P -t\theta$$
$$ P = t\theta \alpha (T-T_P) $$
Then...
Hello! I'm struggling with this exercise for three days already. Would appreciate any help. Thanks in advance. This is my thoughts...
So a number density ρ=N/V. As I understand N doesn’t change through transition, but V changes
The free energy F=U-TS or dF=-PdV-SdT
As the liquid coexists...
How is it proved that Van Der Waals gas is a second order phase transition?
The second order derivative of the pressure (P ) with respect to volume ( V ) don't have a discontinuity ( except at point V = Nb , but the pressure is not existent for V<=Nb ). So how come Van der waals gas describes...
I did the first part using the transfer matrix method:
$$
Z = Tr(T^{N})
$$
In this case, the transfer matrix will be
$$
T(i,i') =
\begin{pmatrix}
e^{\beta J} & 1 & e^{-\beta J}\\
1 &1 &1 \\
e^{-\beta J} & 1 & e^{\beta J}
\end{pmatrix}
$$
To get the trace of $T^N$, you find the...
Homework Statement
Prove the following relation for which clausius equation holds :
Cs=Cp-αV(ΔH/ΔV)
Where Cs=∂q/∂T at constant S and is the heat capacity in the coexistence line of 2 phases
Homework Equations
dq=dU+dW
dP/dT=ΔH/(ΔV*T)
The Attempt at a Solution
I do not fully understand why q...
There's something that has been bugging me for over a year now and I seem to be unable to find the answer. I would appreciate it very much if somebody could help me out.
The thing is that I don't understand how it is possible that in second order phase transitions the correlation legth
becomes...
Hello everyone, I'm doing revision for a final exam in Thermodynamics and i found this exercise i can't solve:
A particular material has a latent heat of vaporization Δh, constant along the coexistence curve. One mole of this material exists in two.phase (liquid-vapor) equilibrium in a...
There is a question that has been bugging and puzzling me for a long time and I wondered if somebody could help me to figure out what the answer is or where I am not thinking straight.
Let us assume that the standard model of particle physics is more "right" than "wrong" and there is no such a...
There's something that I'd like to know and haven't been able to find in any book:
1.- Is the number of second order phase transition university classes known?
2.- Do we know quantitatively know the behavior of all such second order phase transition university classes?
3.- Do we know the...
I suppose that my questions are pretty basic, but I've been trying to find out the answers and not succeeded.
1.- Do cosmologists really think that the vacuum state suddenly changed in the early Universe? If so, would it be like a phase transition? If so, first or second orther?
2.- Does the...
Hi,I'm new here,
and created my account solely for following question:
Does the incompatibility between QM and Relativity indicate a phase transition at high energies?
(as in: indicate more than a "could be")
At first, we need some state parameters(like P/T/V) to fully describe a system. And the order parameter is also a parameter which could describe the property of the system.
However, in the Laudau theory, why it said that order parameter is an external parameter(not a independent variable)? Is...
Hello Community!
I can't find a good answer(if there is) to my question.
When in statistical mechanics we can define the order parameter for to study some phase transition. we need to define a order parameter.
Now, I want to know if we can to define/find some "order parameter" for to...