A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale
We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [ 0 , N ] ∩ Z in the quasi-static time scale N 2 ϵ N - 1 , where 1 ≪ ϵ N - 1 ≪ N 1 / 4 . We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve...
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| Veröffentlicht in: | Journal of statistical physics 2016-06, Vol.163 (5), p.1079-1107 |
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| container_end_page | 1107 |
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| container_issue | 5 |
| container_start_page | 1079 |
| container_title | Journal of statistical physics |
| container_volume | 163 |
| creator | Chavez, E. Landim, C. |
| description | We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval
[
0
,
N
]
∩
Z
in the quasi-static time scale
N
2
ϵ
N
-
1
, where
1
≪
ϵ
N
-
1
≪
N
1
/
4
. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order
ϵ
N
. |
| doi_str_mv | 10.1007/s10955-016-1514-z |
| format | Article |
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[
0
,
N
]
∩
Z
in the quasi-static time scale
N
2
ϵ
N
-
1
, where
1
≪
ϵ
N
-
1
≪
N
1
/
4
. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order
ϵ
N
.</description><identifier>ISSN: 0022-4715</identifier><identifier>EISSN: 1572-9613</identifier><identifier>DOI: 10.1007/s10955-016-1514-z</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Mathematical and Computational Physics ; Mathematics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Probability ; Quantum Physics ; Statistical Physics and Dynamical Systems ; Theoretical ; Thermodynamics</subject><ispartof>Journal of statistical physics, 2016-06, Vol.163 (5), p.1079-1107</ispartof><rights>Springer Science+Business Media New York 2016</rights><rights>COPYRIGHT 2016 Springer</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c361t-90af149321f758a34f44bd4f0cd4f3c05b8ad36d573fcb277bcc18397da26a303</citedby><cites>FETCH-LOGICAL-c361t-90af149321f758a34f44bd4f0cd4f3c05b8ad36d573fcb277bcc18397da26a303</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10955-016-1514-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10955-016-1514-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,780,784,885,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttps://hal.science/hal-01728579$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Chavez, E.</creatorcontrib><creatorcontrib>Landim, C.</creatorcontrib><title>A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale</title><title>Journal of statistical physics</title><addtitle>J Stat Phys</addtitle><description>We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval
[
0
,
N
]
∩
Z
in the quasi-static time scale
N
2
ϵ
N
-
1
, where
1
≪
ϵ
N
-
1
≪
N
1
/
4
. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order
ϵ
N
.</description><subject>Mathematical and Computational Physics</subject><subject>Mathematics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Probability</subject><subject>Quantum Physics</subject><subject>Statistical Physics and Dynamical Systems</subject><subject>Theoretical</subject><subject>Thermodynamics</subject><issn>0022-4715</issn><issn>1572-9613</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp9kVFrFDEQx4MoeLb9AL7l1YfUTLLZ7D6uZ_WEAy2t9DHkskmbuptIkitu8cObY8VHGcjA8PvPTOaP0Fugl0CpfJ-B9kIQCi0BAQ15foE2ICQjfQv8JdpQyhhpJIjX6E3Oj5TSvuvFBv0e8DamZE3xMeAScXmweLeMKY5L0LM3eO9nX3B0-EM8hlGnBX9M_skGfGf1j2nBQ17m2ZZU0atfZjrmU6NvKRqbs83YB6zx9VFnT26KLpW69bPFN0ZP9hy9cnrK9uJvPkPfP13dbndk__Xzl-2wJ4a3UEhPtYOm5wycFJ3mjWuaw9g4aurDDRWHTo-8HYXkzhyYlAdjoOO9HDVrNaf8DL1b-z7oSf1Mfq6_UFF7tRv26lSjIFknZP8Elb1c2fu6oPLBxZK0qTHaeo0YrPO1PjQCmOhYx6oAVoFJMedk3b8JQNXJG7V6U4e06uSNeq4atmpyZcO9TeoxHlOoN_iP6A8NzZKE</recordid><startdate>20160601</startdate><enddate>20160601</enddate><creator>Chavez, E.</creator><creator>Landim, C.</creator><general>Springer US</general><general>Springer</general><general>Springer Verlag</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope></search><sort><creationdate>20160601</creationdate><title>A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale</title><author>Chavez, E. ; Landim, C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c361t-90af149321f758a34f44bd4f0cd4f3c05b8ad36d573fcb277bcc18397da26a303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematical and Computational Physics</topic><topic>Mathematics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Probability</topic><topic>Quantum Physics</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Theoretical</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chavez, E.</creatorcontrib><creatorcontrib>Landim, C.</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Journal of statistical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chavez, E.</au><au>Landim, C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale</atitle><jtitle>Journal of statistical physics</jtitle><stitle>J Stat Phys</stitle><date>2016-06-01</date><risdate>2016</risdate><volume>163</volume><issue>5</issue><spage>1079</spage><epage>1107</epage><pages>1079-1107</pages><issn>0022-4715</issn><eissn>1572-9613</eissn><abstract>We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval
[
0
,
N
]
∩
Z
in the quasi-static time scale
N
2
ϵ
N
-
1
, where
1
≪
ϵ
N
-
1
≪
N
1
/
4
. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order
ϵ
N
.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10955-016-1514-z</doi><tpages>29</tpages></addata></record> |
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| ispartof | Journal of statistical physics, 2016-06, Vol.163 (5), p.1079-1107 |
| issn | 0022-4715 1572-9613 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01728579v1 |
| source | SpringerNature Journals |
| subjects | Mathematical and Computational Physics Mathematics Physical Chemistry Physics Physics and Astronomy Probability Quantum Physics Statistical Physics and Dynamical Systems Theoretical Thermodynamics |
| title | A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale |
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