Fundamental entropic processes in the theory of optical thermodynamics

Abstract

We study the statistical behavior of multimoded optical systems under equilibrium conditions. We investigate the role of variations of the system parameters in the thermodynamic description and derive, an optical analogue of the first law of thermodynamics, a generic expression for the work done to the system, and an optical Gibbs-Duhem equation. To demonstrate these effects, we focus in the case of two-dimensional photonic lattices. We study the conditions under which the entropy in such waveguide arrays can be considered as extensive. In this respect, small deviations from the extensive character of the entropy give rise to stress and strain terms. We examine how the conservation laws in such array configurations are affected by variations in the system parameters, and furthermore, we analyze the respective thermodynamic processes (isentropic and Joule-type expansions).

arXiv comment12 pages, 2 figures

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Cited by in corpus (6)

• Observation of light thermalization to negative temperature Rayleigh-Jeans equilibrium states in multimode optical fibers
• Thermalization of light's orbital angular momentum in nonlinear multimode waveguide systems
• Controlling Optical Beam Thermalization via Band-Gap Engineering
• Nature of Optical Thermodynamic Pressure Exerted in Highly Multimoded Nonlinear Systems
• Thermalization of the Ablowitz-Ladik lattice in the presence of non-integrable perturbations
• Coherence properties of light in highly multimoded nonlinear parabolic fibers under optical equilibrium conditions