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This work aims to investigate the stationary fluctuations of a novel exclusion process featuring mass and energy conservation.

June 6, 2026Open Access

Stationary fluctuations for an exclusion process with mass and energy conservation

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Randomized trial explores stationary fluctuations in multi-component systems, suggesting novel insights into conservation laws.

This work aims to investigate the stationary fluctuations of a novel exclusion process featuring mass and energy conservation.
Introduced an exclusion process with dual conservation laws (mass and energy).
Applied nonlinear fluctuating hydrodynamics to analyze the model's fluctuations.
Demonstrated convergence of fluctuation fields to uncoupled stochastic Burgers equations in the scaling limit.
Established the second-order Boltzmann-Gibbs principle for the model.
Rigorously proved diagonalizability of the Jacobian matrix for macroscopic current with distinct real eigenvalues.
Revealed a variety of universality classes based on parameter choices.

Cunha et al. (2026) studied this question.

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