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Chapitre D'ouvrage Année : 2021

Charge-Current Correlation Identities for Stochastic Interacting Particle Systems

Résumé

We adapt a recent proof of generic quantum-mechanical charge-current correlation identities with local conservation laws to stochastic interacting particle systems. Unlike in earlier proofs no translation invariance is required. We clarify the validity of an Onsager-type current symmetry that generally appears in hyperbolic systems of conservation laws that arise as hydrodynamic limits of stochastic interacting particle systems.
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Dates et versions

hal-03326009 , version 1 (25-08-2021)

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Dragi Karevski, Gunter Schütz. Charge-Current Correlation Identities for Stochastic Interacting Particle Systems. Cédric Bernardin, François Golse, Patrícia Gonçalves, Valeria Ricci, Ana Jacinta Soares. From Particle Systems to Partial Differential Equations : International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019, Elsevier, pp.321-333, 2021, Springer Proceedings in Mathematics & Statistics, 978-3-030-69783-9. ⟨10.1007/978-3-030-69784-6_15⟩. ⟨hal-03326009⟩
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