The A+B -> 0 annihilation reaction in a quenched random velocity field
J. Phys. A: Math. Gen. 29, 7051-7065 (1996) Using field-theoretic renormalization group methods the long-time behaviour of the A+B -> 0 annihilation reaction with equal initial densities n_A(0) = n_B(0) = n_0 in a quenched random velocity field is studied. At every point (x, y) of a d-dimensional...
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| creator | Oerding, K |
| description | J. Phys. A: Math. Gen. 29, 7051-7065 (1996) Using field-theoretic renormalization group methods the long-time behaviour
of the A+B -> 0 annihilation reaction with equal initial densities n_A(0) =
n_B(0) = n_0 in a quenched random velocity field is studied. At every point (x,
y) of a d-dimensional system the velocity v is parallel or antiparallel to the
x-axis and depends on the coordinates perpendicular to the flow. Assuming that
v(y) have zero mean and short-range correlations in the y-direction we show
that the densities decay asymptotically as n(t) ~ A n_0^(1/2) t^(-(d+3)/8) for
d |
| doi_str_mv | 10.48550/arxiv.cond-mat/9605162 |
| format | Article |
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of the A+B -> 0 annihilation reaction with equal initial densities n_A(0) =
n_B(0) = n_0 in a quenched random velocity field is studied. At every point (x,
y) of a d-dimensional system the velocity v is parallel or antiparallel to the
x-axis and depends on the coordinates perpendicular to the flow. Assuming that
v(y) have zero mean and short-range correlations in the y-direction we show
that the densities decay asymptotically as n(t) ~ A n_0^(1/2) t^(-(d+3)/8) for
d<3. The universal amplitude A is calculated at first order in \epsilon = 3-d.</description><identifier>DOI: 10.48550/arxiv.cond-mat/9605162</identifier><language>eng</language><subject>Physics - Disordered Systems and Neural Networks ; Physics - Materials Science ; Physics - Mesoscale and Nanoscale Physics ; Physics - Other Condensed Matter ; Physics - Quantum Gases ; Physics - Soft Condensed Matter ; Physics - Statistical Mechanics ; Physics - Strongly Correlated Electrons ; Physics - Superconductivity</subject><creationdate>1996-05</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/9605162$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1088/0305-4470/29/22/009$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/9605162$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Oerding, K</creatorcontrib><title>The A+B -> 0 annihilation reaction in a quenched random velocity field</title><description>J. Phys. A: Math. Gen. 29, 7051-7065 (1996) Using field-theoretic renormalization group methods the long-time behaviour
of the A+B -> 0 annihilation reaction with equal initial densities n_A(0) =
n_B(0) = n_0 in a quenched random velocity field is studied. At every point (x,
y) of a d-dimensional system the velocity v is parallel or antiparallel to the
x-axis and depends on the coordinates perpendicular to the flow. Assuming that
v(y) have zero mean and short-range correlations in the y-direction we show
that the densities decay asymptotically as n(t) ~ A n_0^(1/2) t^(-(d+3)/8) for
d<3. The universal amplitude A is calculated at first order in \epsilon = 3-d.</description><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Materials Science</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Other Condensed Matter</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Soft Condensed Matter</subject><subject>Physics - Statistical Mechanics</subject><subject>Physics - Strongly Correlated Electrons</subject><subject>Physics - Superconductivity</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNzUEOgjAQheFuXBj1DM7GlQGKCtGNiRqJB2DfTNohTFJarUjk9irhAK7ev3jJJ8QylfFun2UywfDmLtbemajBNjnkMkvzzVQUZU1wWp8hOoIEdI5rttiydxAI9RDsAOHxIqdrMhDQGd9AR9ZrbnuomKyZi0mF9kmLcWdiVVzLyy0aXHUP3GDo1c9XX1-N_vbf3weZHD_3</recordid><startdate>19960526</startdate><enddate>19960526</enddate><creator>Oerding, K</creator><scope>GOX</scope></search><sort><creationdate>19960526</creationdate><title>The A+B -> 0 annihilation reaction in a quenched random velocity field</title><author>Oerding, K</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_96051623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Materials Science</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Other Condensed Matter</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Soft Condensed Matter</topic><topic>Physics - Statistical Mechanics</topic><topic>Physics - Strongly Correlated Electrons</topic><topic>Physics - Superconductivity</topic><toplevel>online_resources</toplevel><creatorcontrib>Oerding, K</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Oerding, K</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The A+B -> 0 annihilation reaction in a quenched random velocity field</atitle><date>1996-05-26</date><risdate>1996</risdate><abstract>J. Phys. A: Math. Gen. 29, 7051-7065 (1996) Using field-theoretic renormalization group methods the long-time behaviour
of the A+B -> 0 annihilation reaction with equal initial densities n_A(0) =
n_B(0) = n_0 in a quenched random velocity field is studied. At every point (x,
y) of a d-dimensional system the velocity v is parallel or antiparallel to the
x-axis and depends on the coordinates perpendicular to the flow. Assuming that
v(y) have zero mean and short-range correlations in the y-direction we show
that the densities decay asymptotically as n(t) ~ A n_0^(1/2) t^(-(d+3)/8) for
d<3. The universal amplitude A is calculated at first order in \epsilon = 3-d.</abstract><doi>10.48550/arxiv.cond-mat/9605162</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Disordered Systems and Neural Networks Physics - Materials Science Physics - Mesoscale and Nanoscale Physics Physics - Other Condensed Matter Physics - Quantum Gases Physics - Soft Condensed Matter Physics - Statistical Mechanics Physics - Strongly Correlated Electrons Physics - Superconductivity |
| title | The A+B -> 0 annihilation reaction in a quenched random velocity field |
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