Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.06864 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910907433484288 |
|---|---|
| author | Xu, Hongrui |
| author_facet | Xu, Hongrui |
| contents | Optical, acoustic, hydrodynamic, and thermal defect systems are often studied by analogy with each other. This may indicate that we may find a emergent theory for constitutive relations of classical defect systems. Start with thermal systems, we put up with a bootstrap method to describe classical transport. We conjecture that Landau-Khalatnikov equation could provide heat constitutive relations when taking heat flux as order parameter. We show that the corresponding effctive Lagrangian has similar form of that of Wick-rotated complex scalar field theory at non-relativistic limit, and only in perfect conducting situation that this system is a canonical ensemble. We argue that our method could be generalized to other systems besides thermal ones. By analogy with ferroelectrics, we propose the thermal domain model, which is a conserved current XY model. Phase transition of the thermal system is qualitatively discussed in this model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent Theory for Constitutive Relations in Classical Defect Systems Xu, Hongrui Statistical Mechanics Superconductivity High Energy Physics - Theory Optical, acoustic, hydrodynamic, and thermal defect systems are often studied by analogy with each other. This may indicate that we may find a emergent theory for constitutive relations of classical defect systems. Start with thermal systems, we put up with a bootstrap method to describe classical transport. We conjecture that Landau-Khalatnikov equation could provide heat constitutive relations when taking heat flux as order parameter. We show that the corresponding effctive Lagrangian has similar form of that of Wick-rotated complex scalar field theory at non-relativistic limit, and only in perfect conducting situation that this system is a canonical ensemble. We argue that our method could be generalized to other systems besides thermal ones. By analogy with ferroelectrics, we propose the thermal domain model, which is a conserved current XY model. Phase transition of the thermal system is qualitatively discussed in this model. |
| title | Emergent Theory for Constitutive Relations in Classical Defect Systems |
| topic | Statistical Mechanics Superconductivity High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.06864 |