All Questions
Tagged with adiabatic differentiation
7
questions
2
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Finding condition for Adiabaticity
I have a differential equation describing a resonator that looks like this:
$$ \frac{d\alpha(t)}{dt} = [j a - b]\alpha(t) + \sqrt b e^{jct}$$ where I can solve it putting: $$\alpha(t) = \alpha e^{jct}$...
- 21
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1
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48
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Maxwell's relations and adiabats
I was trying to understand problem regarding finding the adiabatic modulus given the isothermal young's modulus. I'm still an amateur in thermodynamics.
I just didn't understand the final step where ...
- 51
1
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0
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41
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Adiabatic theorem for stochastic time-dependence
I am trying to derive the adiabatic theorem when my time-dependent Hamiltonian is stochastic and I have a few questions. Usually, one starts with the Schrödinger equation
\begin{equation}
i\frac{d |\...
- 87
1
vote
1
answer
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How to take the average of a stochastic differential equation?
I am solving a set of stochastic differential equations and I need some feedback about if what I am doing is correct.
Given a vector $\boldsymbol{C}(t)=(C_+(t),C_-(t))^T$, we can writte a set of ...
- 87
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
4
votes
1
answer
192
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Understanding the use of $d$ and $\partial$ in thermodynamics
It seems a hundred variations of this question have been asked, and it's difficult to find which of those questions relates to exactly what I'm asking. My apologies if exactly this question has ...
- 260
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Question regarding adiabatic process (Ex 12.2 in Blundell's Concepts in Thermal Physics)
It can be derived from first law of thermodynamics that
$$dQ=\bigg(\frac{\partial U}{\partial T}\bigg)_V dT +\bigg[\bigg(\frac{\partial U}{\partial V}\bigg)_T+p\bigg]dV$$
On page 119 of the book, a ...
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