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240916s2024 xx |||||o 00| ||eng c |
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|a 10.1007/s00440-024-01293-1
|2 doi
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|a eng
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|a Gonçalves, P
|e verfasserin
|4 aut
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|a CLT for NESS of a reaction-diffusion model
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|c 2024
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
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|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Revised 16.09.2024
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|a published: Print-Electronic
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|a Citation Status PubMed-not-MEDLINE
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|a © The Author(s) 2024.
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|a We study the scaling properties of the non-equilibrium stationary states (NESS) of a reaction-diffusion model. Under a suitable smallness condition, we show that the density of particles satisfies a law of large numbers with respect to the NESS, with an explicit rate of convergence, and we also show that at mesoscopic scales the NESS is well approximated by a local equilibrium (product) measure, in the total variation distance. In addition, in dimensions d ≤ 3 we show a central limit theorem for the density of particles under the NESS. The corresponding Gaussian limit can be represented as an independent sum of a white noise and a massive Gaussian free field, and in particular it presents macroscopic correlations
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|a Journal Article
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|a Exclusion process
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|a Fluctuations
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| 650 |
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|a Non-equilibrium state
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| 650 |
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4 |
|a SPDEs
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| 700 |
1 |
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|a Jara, M
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Marinho, R
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Menezes, O
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t Probability theory and related fields
|d 1998
|g 190(2024), 1-2 vom: 04., Seite 337-377
|w (DE-627)NLM098173197
|x 0178-8051
|7 nnns
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| 773 |
1 |
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|g volume:190
|g year:2024
|g number:1-2
|g day:04
|g pages:337-377
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|u http://dx.doi.org/10.1007/s00440-024-01293-1
|3 Volltext
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|d 190
|j 2024
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|h 337-377
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