All Questions
Tagged with adiabatic statistical-mechanics
34
questions
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46
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Constructing a gapped family of Hamiltonians in the trivial paramagnet
Consider the trivial paramagnet, which has the Hamiltonian $$H = - \sum_i \sigma^x_i$$ Now let's say I have two different Hamiltonians $$H_0 = H + 2\sigma^x_{i_0} \qquad H_1 = H + 2\sigma^x_{i_1}$$ ...
- 737
2
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0
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165
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Non-adiabatic evolution and time-dependent adiabatic parameter
I am dealing with the dynamics of a two-bands lattice system. The idea is that you have a lattice model of free fermions, with some hopping amplitudes and on-site energies.The lattice have two fermion ...
- 503
2
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1
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563
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Question about Landau's derivation of the energy relation in Statistical Physics (Vol 5)
In Statistical Physics (Vol 5 of Landau's books) section 11, Landau derives an important relation: $\overline{\frac{\partial E(p, q;\lambda)}{\partial \lambda}} = \left(\frac{\partial E}{\partial \...
- 35
1
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1
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24
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The work and reversibility of an adiabadically stretched band
I currently working on this. More specifically I have a question about Problem 2.8 (solution on page 34 and exercise on page 25 of the pdf). I have 4 questions
1.
In the solution for b) the author ...
- 131
3
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3
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171
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Are there known conditions that ensure infinite slowness is reversible?
A system has a Hamiltonian that depends on a few external parameters $V,X_1,X_2...$.
$$H=H(V,X_1,X_2....).$$
We can assume the dependence is continuous enough. A process is in the limit of infinite ...
- 561
0
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1
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60
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Adiabatic theorem with stochastic variables
Suppose a system which is driven by a stochastic complex variable $\alpha$(t). Looking at the eigensystem, both eigenvectors and eigenvalues are then stochastic variables. In my case, after building a ...
- 87
3
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2
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258
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Adiabatic compressibility always positive
I am currently studying statistical physics. Intuitively it is clear to me that the adiabatic compressibility $\kappa_s = - \frac{1}{V} \left(\frac{\partial V}{\partial P}\right)_{S}$ is positive in a ...
- 43
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90
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Adiabatic Exponent for an adiabatic process
Suppose we have some thermodynamic system, not necessarily a classical ideal gas, where
$$EV^{\gamma -1} = f(S,N)$$
Then for a process with constant $S, N,$ we have that
$$EV^{\gamma -1} = \rm const.$$...
- 2,599
0
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35
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Adiabatic Transformations and ideal gas relations
For an adiabatic transformation of an ideal gas I know that from equation,
$C_v=\frac{dU}{dT}$
I can rewrite it using the relations,
$dU=dQ-dW$
which can give us
$dU=-pdV$
to rewrite the first ...
- 73
1
vote
4
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508
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Why does adiabatic expansion occur in the carnot process?
(Spoiler: Why adiabatic expansion happens in Carnot cycle doesn't really answer the question for me.)
In the Carno cycle, the open system is first brought into contact with the warm reservoir, which ...
- 211
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1
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69
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Radial dependence of temperature for adiabatic expansion of ideal gas
If the solar wind propagates out adiabatically with a constant speed and
can be regarded as an ideal gas, how the solar wind temperature depend
on radial distance from the sun $r$, i.e. $T$ as a ...
- 31
1
vote
1
answer
122
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Finding equation of internal energy in adiabatic process
I am doing a review of thermodynamic and I encounter the following question,
Show that if a single-component system is such that $PV^k$ is constant in an adiabatic process (k is a positive constant) ...
- 159
0
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1
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29
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What is the type of system, if I have an opened container with hot water inside, but no heat input to the system?
I have a school project, where I am trying to generate electricity using TEG modules that are attached to an aluminium container that contains hot water. The container is opened and there is no heat ...
1
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0
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57
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Uniqueness of Irreversible and adiabatic processes in finite time
Let the external intensive and extensive "mechanical" variables be denoted by $Y_k, X_k$. These variables are well defined irrespective of the system is in equilibrium or not. For an ...
- 19.8k
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1
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85
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Can adiabatic heat exchange between different temperatures ever be reversible?
I've been told, A volume 2X of Temperature 0.5*(T1+T2) is always at higher entropy than thermally insulated volumes, 'X' at T1, 'X' at T2 put together.
Let's take Sys1 (A volume 2X of Temperature 0.5*(...
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