Maxwell-Juttner distributions in relativistic molecular dynamics
In relativistic kinetic theory, which underlies relativistic hydrodynamics, the molecular chaos hypothesis stands at the basis of the equilibrium Maxwell-Juttner probability distribution for the four-momentum $p^{\alpha}$. We investigate the possibility of validating this hypothesis by means of micr...
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| creator | Aliano, A Rondoni, L Morriss, G. P |
| description | In relativistic kinetic theory, which underlies relativistic hydrodynamics,
the molecular chaos hypothesis stands at the basis of the equilibrium
Maxwell-Juttner probability distribution for the four-momentum $p^{\alpha}$. We
investigate the possibility of validating this hypothesis by means of
microscopic relativistic dynamics. We do this by introducing a model of
relativistic colliding particles, and studying its dynamics. We verify the
validity of the molecular chaos hypothesis, and of the Maxwell-Juttner
distributions for our model. Two linear relations between temperature and
average kinetic energy are obtained in classical and ultrarelativistic regimes. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0509789 |
| format | Article |
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the molecular chaos hypothesis stands at the basis of the equilibrium
Maxwell-Juttner probability distribution for the four-momentum $p^{\alpha}$. We
investigate the possibility of validating this hypothesis by means of
microscopic relativistic dynamics. We do this by introducing a model of
relativistic colliding particles, and studying its dynamics. We verify the
validity of the molecular chaos hypothesis, and of the Maxwell-Juttner
distributions for our model. Two linear relations between temperature and
average kinetic energy are obtained in classical and ultrarelativistic regimes.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0509789</identifier><language>eng</language><subject>Physics - Statistical Mechanics</subject><creationdate>2005-09</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0509789$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1140/epjb/e2006-00117-x$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0509789$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Aliano, A</creatorcontrib><creatorcontrib>Rondoni, L</creatorcontrib><creatorcontrib>Morriss, G. P</creatorcontrib><title>Maxwell-Juttner distributions in relativistic molecular dynamics</title><description>In relativistic kinetic theory, which underlies relativistic hydrodynamics,
the molecular chaos hypothesis stands at the basis of the equilibrium
Maxwell-Juttner probability distribution for the four-momentum $p^{\alpha}$. We
investigate the possibility of validating this hypothesis by means of
microscopic relativistic dynamics. We do this by introducing a model of
relativistic colliding particles, and studying its dynamics. We verify the
validity of the molecular chaos hypothesis, and of the Maxwell-Juttner
distributions for our model. Two linear relations between temperature and
average kinetic energy are obtained in classical and ultrarelativistic regimes.</description><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA3NNAzsTA1NdBPLKrILNNLzs9L0c1NLNE3MDWwNLew5GRw8E2sKE_NydH1Ki0pyUstUkjJLC4pykwqLcnMzytWyMxTKErNSSzJLAMKZyYr5ObnpCaX5iQC1VXmJeZmJhfzMLCmJeYUp_JCaW4GVTfXEGcPXbCN8QVFmbmJRZXxIJvjgTbHQ202JlYdAJZiQKI</recordid><startdate>20050930</startdate><enddate>20050930</enddate><creator>Aliano, A</creator><creator>Rondoni, L</creator><creator>Morriss, G. P</creator><scope>GOX</scope></search><sort><creationdate>20050930</creationdate><title>Maxwell-Juttner distributions in relativistic molecular dynamics</title><author>Aliano, A ; Rondoni, L ; Morriss, G. P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_05097893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Aliano, A</creatorcontrib><creatorcontrib>Rondoni, L</creatorcontrib><creatorcontrib>Morriss, G. P</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Aliano, A</au><au>Rondoni, L</au><au>Morriss, G. P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Maxwell-Juttner distributions in relativistic molecular dynamics</atitle><date>2005-09-30</date><risdate>2005</risdate><abstract>In relativistic kinetic theory, which underlies relativistic hydrodynamics,
the molecular chaos hypothesis stands at the basis of the equilibrium
Maxwell-Juttner probability distribution for the four-momentum $p^{\alpha}$. We
investigate the possibility of validating this hypothesis by means of
microscopic relativistic dynamics. We do this by introducing a model of
relativistic colliding particles, and studying its dynamics. We verify the
validity of the molecular chaos hypothesis, and of the Maxwell-Juttner
distributions for our model. Two linear relations between temperature and
average kinetic energy are obtained in classical and ultrarelativistic regimes.</abstract><doi>10.48550/arxiv.cond-mat/0509789</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Statistical Mechanics |
| title | Maxwell-Juttner distributions in relativistic molecular dynamics |
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