[Todos] SEMINARIO IFLP/DEPARTAMENTO DE FÍSICA

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ESTIMADOS: 

AGRADECEMOS LA DIFUSIÓN DEL ANUNCIO DEL PRÓXIMO SEMINARIO DEL CICLO DE
COLOQUIOS Y SEMINARIOS QUE SE ORGANIZAN EN EL INSTITUTO DE FÍSICA LA
PLATA/ DEPARTAMENTO DE FÍSICA. 

SE ADJUNTA MATERIAL PARA DIFUNDIR EN CARTELERAS. 

SALUDOS, 

ADMINISTRACIÓN IFLP 

                   
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SEMINARIOS  DEL IFLP Y DEL DEPARTAMENTO 

MARTES 31 DE MAYO A LAS 11HS 

AULA CHICA 

TÍTULO:  A LORENTZ INVARIANT VELOCITY DISTRIBUTION OF A RELATIVISTIC
GAS  

  

EXPONE: EVALDO M. F. CURADO. CENTRO BRASILEIRO DE PESQUISAS FÍSICAS, RIO
DE JANEIRO, BRAZIL

 

RESUMEN: We examine the problem of the relativistic velocity
distribution in a 1-dim relativistic gas in thermal equilibrium. We use
numerical simulations of the relativistic molecular dynamics for a gas
with two components, light and heavy particles. However in order to
obtain the numerical data our treatment distinguishes two approaches in
the construction of the histograms for the same relativistic molecular
dynamic simulations. The first, largely considered in the literature,
consists in constructing histograms with constant bins in the velocity
variable and the second consists in constructing histograms with
constant bins in the rapidity variable which yields Lorentz invariant
histograms, contrary to the first approach. For histograms with constant
bins in the velocity variable the numerical data are fitted accurately
by the Jüttner distribution which is also not Lorentz invariant. On the
other hand, the numerical data obtained from histograms constructed with
constant bins in the rapidity variable, which are Lorentz invariant, are
accurately fitted by a Lorentz invariant distribution whose derivation
is discussed in this presentation. The histograms thus constructed are
not fitted by the Jüttner distribution (as they should not). Our
derivation is based on the special theory of relativity, the central
limit theorem and the Lobachevsky structure of the velocity space of the
theory, where the rapidity variable plays a crucial role. For v^2/c^2 <<
1 and k_{B}T/(m_0 c^2) <<1 the distribution tends to the
Maxwell-Boltzmann distribution. 

  
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