dorsal/arxiv
View SchemaThermodynamics analogue for self-trapped spinning-stationary Madelung fluid
| Authors | Agung Budiyono |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601212 |
| URL | https://arxiv.org/abs/quant-ph/0601212 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We discuss two-dimensional Madelung fluid dynamics whose irrotational case reduces into the Schr\"odinger equation for a free single particle. We show that the self-trapped spinning-stationary Madelung fluid reported in the previous paper can be analogically identified as an equilibrium thermodynamics system. This is done by making correspondence between Shannon entropy over Madelung density and internal energy to be defined in the main text, respectively with thermal-entropy and thermal-internal energy of equilibrium thermodynamics system. This leads us to identify a Madelung fluid analog of thermal-temperature at the vanishing value of which the stationary Madelung fluid will be no more spinning and is equal to the quantum mechanical ground state of a particle trapped inside a cylindrical tube external potential.
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"date_created": "2026-03-02T18:02:23.822000Z",
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"abstract": "We discuss two-dimensional Madelung fluid dynamics whose irrotational case\nreduces into the Schr\\\"odinger equation for a free single particle. We show\nthat the self-trapped spinning-stationary Madelung fluid reported in the\nprevious paper can be analogically identified as an equilibrium thermodynamics\nsystem. This is done by making correspondence between Shannon entropy over\nMadelung density and internal energy to be defined in the main text,\nrespectively with thermal-entropy and thermal-internal energy of equilibrium\nthermodynamics system. This leads us to identify a Madelung fluid analog of\nthermal-temperature at the vanishing value of which the stationary Madelung\nfluid will be no more spinning and is equal to the quantum mechanical ground\nstate of a particle trapped inside a cylindrical tube external potential.",
"arxiv_id": "quant-ph/0601212",
"authors": [
"Agung Budiyono"
],
"categories": [
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Thermodynamics analogue for self-trapped spinning-stationary Madelung fluid",
"url": "https://arxiv.org/abs/quant-ph/0601212"
},
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