Gauge-theoretic Study of Kundt Tube Experiment and Spontaneous Symmetry Transitions

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Tsutomu Kambe
Tsutomu Kambe

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GJSFR Volume 22 Issue A6

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In the Kundt’s experiment of acoustic resonance in closed tubes, two characteristic lengths were observed: one is the wave-length of the sound waves in resonance and the other the scale of dust striation. The latter has remained unresolved for its formation mechanism. Based on the Fluid Gauge Theory proposed recently by the author, formation mechanism of the dust striation is studied. When the sound is weak enough, the striation is unobserved. Once the wave intensity exceeds a threshold value, dust striations are formed. Formation of the dust striation is understood as a spontaneous transition of symmetry in the acoustics. According to the Theory, there is a transition of stress field within the fluid flow. Whereas the stress field is isotropic before transition, it becomes anisotropic after the transition. This is analogous to the spontaneous symmetry breaking known in the field theory. Lagrangian structures of both systems are verified to be analogous either.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Tsutomu Kambe. 2026. \u201cGauge-theoretic Study of Kundt Tube Experiment and Spontaneous Symmetry Transitions\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 22 (GJSFR Volume 22 Issue A6): .

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High-resolution image of Kundt tube setup for physics research.
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GJSFR Volume 22 Issue A6
Pg. 61- 86
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-A Classification: FOR Code: DDC Code: 813.54 LCC Code: PS3564.I362
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v1.2

Issue date

November 17, 2022

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English

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In the Kundt’s experiment of acoustic resonance in closed tubes, two characteristic lengths were observed: one is the wave-length of the sound waves in resonance and the other the scale of dust striation. The latter has remained unresolved for its formation mechanism. Based on the Fluid Gauge Theory proposed recently by the author, formation mechanism of the dust striation is studied. When the sound is weak enough, the striation is unobserved. Once the wave intensity exceeds a threshold value, dust striations are formed. Formation of the dust striation is understood as a spontaneous transition of symmetry in the acoustics. According to the Theory, there is a transition of stress field within the fluid flow. Whereas the stress field is isotropic before transition, it becomes anisotropic after the transition. This is analogous to the spontaneous symmetry breaking known in the field theory. Lagrangian structures of both systems are verified to be analogous either.

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Gauge-theoretic Study of Kundt Tube Experiment and Spontaneous Symmetry Transitions

Tsutomu Kambe
Tsutomu Kambe

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