Optical Thermodynamics Beyond the Weak Nonlinearity Limit
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914431201443840 |
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| author | Kabat, Emily Mohapatra, Shrohan Kevrekidis, P. G. Kottos, Tsampikos |
| author_facet | Kabat, Emily Mohapatra, Shrohan Kevrekidis, P. G. Kottos, Tsampikos |
| contents | Optical thermodynamics has recently emerged as a theoretical framework describing a Rayleigh-Jeans (RJ) modal power distribution of multimoded nonlinear photonic circuits. However, its applicability is constrained to systems exhibiting weak nonlinear mode-mode interactions. Here, by employing a Transfer Integral Operator, we circumvent this limitation and establish a steady-state interacting RJ modal distribution -- referred to as non-ideal RJ (NIRJ) -- with renormalized temperature and optical chemical potential. This also builds a natural bridge with earlier work on grand-canonical statistical-mechanical formulations of discrete nonlinear systems. The theory derives the optical analogue of the compressibility factor, which controls the transition from an ideal, non-interacting equation of state (EoS) to a van der Waals-like interacting EoS. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13161 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optical Thermodynamics Beyond the Weak Nonlinearity Limit Kabat, Emily Mohapatra, Shrohan Kevrekidis, P. G. Kottos, Tsampikos Pattern Formation and Solitons Optics Optical thermodynamics has recently emerged as a theoretical framework describing a Rayleigh-Jeans (RJ) modal power distribution of multimoded nonlinear photonic circuits. However, its applicability is constrained to systems exhibiting weak nonlinear mode-mode interactions. Here, by employing a Transfer Integral Operator, we circumvent this limitation and establish a steady-state interacting RJ modal distribution -- referred to as non-ideal RJ (NIRJ) -- with renormalized temperature and optical chemical potential. This also builds a natural bridge with earlier work on grand-canonical statistical-mechanical formulations of discrete nonlinear systems. The theory derives the optical analogue of the compressibility factor, which controls the transition from an ideal, non-interacting equation of state (EoS) to a van der Waals-like interacting EoS. |
| title | Optical Thermodynamics Beyond the Weak Nonlinearity Limit |
| topic | Pattern Formation and Solitons Optics |
| url | https://arxiv.org/abs/2602.13161 |