We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can be quantified. This implies a quantitative generalization of the Boltzmann–Gibbs principle. In the context of independent random walkers, we complete this program, including also fluctuation fields in non-stationary context (local equilibrium). For other interacting particle systems with duality such as the symmetric exclusion process, similar results can be obtained, under precise conditions on the n particle dynamics.
Quantitative Boltzmann–Gibbs Principles via Orthogonal Polynomial Duality / Ayala, M.; Carinci, G.; Redig, F.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 171:6(2018), pp. 980-999. [10.1007/s10955-018-2060-7]
Quantitative Boltzmann–Gibbs Principles via Orthogonal Polynomial Duality
Carinci G.;Redig F.
2018
Abstract
We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can be quantified. This implies a quantitative generalization of the Boltzmann–Gibbs principle. In the context of independent random walkers, we complete this program, including also fluctuation fields in non-stationary context (local equilibrium). For other interacting particle systems with duality such as the symmetric exclusion process, similar results can be obtained, under precise conditions on the n particle dynamics.File | Dimensione | Formato | |
---|---|---|---|
Ayala2018_Article_QuantitativeBoltzmannGibbsPrin.pdf
Open access
Tipologia:
Versione pubblicata dall'editore
Dimensione
528.99 kB
Formato
Adobe PDF
|
528.99 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris