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Physics

Questions tagged [entropy]

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An important extensive property of all systems in thermodynamics, statistical mechanics, and information theory, quantifying their disorder (randomness), i.e., our lack of information about them. It characterizes the degree to which the energy of the system is *not* available to do useful work.

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There's a lot of work done on random quantum circuits, and very often the story is that you start from a completely unentangled state, then random unitary gates act on it, and you generically end up ...
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I'm working through a statistical mechanics problem and found somethingthat matches cosmological observations surprisingly well.Binary Entropy MaximizationConsider N distinguishable patches, each ...
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Consider a bound two-body system ($M>>m$) such as Earth–Moon. I'm trying to understand whether there's a meaningful asymmetry in how identical dissipation processes affect gravitational entropy ...
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I have a question regarding the second edition of Callen's Thermodynamics and an Introduction to Thermostatistics, which regards his third postulate:Postulate III. [...] The entropy is continuous ...
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In the proof of spontaneity criterion in constant pressure and temperature, the steps are:$$\Delta S_{system} - \frac{\Delta Q_{rev}}{T}=0 $$and$$\Delta Q_{rev} > \Delta Q_{irrev}$$So, we may ...
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In my professors script for Thermodynamics stated that for different systems there can only be one global affine transformation the reasoning is the following:The additivity of the entropy of ...
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\begin{align}\text{First Law of Thermodynamics (integrated form): } & U = W + Q \\\Leftrightarrow \\\text{First Law of Thermodynamics (differential form): } &\underbrace{dU}_{\text{exact ...
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\begin{align}\text{First Law of Thermodynamics integrated form: } U=W + Q \\\Leftrightarrow \\\text{First Law of Thermodynamics differential form: } \underbrace{dU}_\text{exact differential form}= \...
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This question is based on Callen's book "Thermodynamics and An Introduction to Thermostatistics".My understanding is that for gases, liquids and other macroscopic systems, macroscopic ...
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I want to see the entropy of a Fermi gas vanish at $T=0$ without using the density matrix as some answers have utilized online. The grand potential for fermi gas (Second Eq. in Sec. 9.4 on page 92) is ...
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While studying quantum entanglement and thermodynamics, I started wondering about a possible conceptual link between the two.In a bipartite pure entangled state we have:Total entropy: S_total ≈ 0...
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Has there been application of Kolmogorov complexity to physics? Shannon entropy has an interpretation from thermodynamics. In principle Kolmogorov complexity and Shannon entropy are the same but is ...
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I have been studying classical thermodynamics for the past few weeks and I have a question that has been bothering me somewhat. To begin, I will pose a short thought experiment to derive a conclusion ...
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The question can be summarized as this: is it valid, for a quasi-static process where the only mode of work is pressure-volume work, to identify $TdS$ with the quasi-static heat flux to the system ...
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After discussion with @almost_okay under this answer, I feel the need to dedicate a whole thread to the question under discussion since the comment exchange was getting quite long. I realized a ...

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