2,904 research outputs found
Two generalizations of the Boltzmann equation
We connect two different generalizations of Boltzmann's kinetic theory by
requiring the same stationary solution. Non-extensive statistics can be
produced by either using corresponding collision rates nonlinear in the
one-particle densities or equivalently by using nontrivial energy composition
rules in the energy conservation constraint. Direct transformation formulas
between key functions of the two approaches are given.Comment: Talk given at the 3rd NEXT-Sigma-Phi Conference, Crete, Aug.2005,
revtex, 10 page, 2 fig
Numerical simulation of non-extensive Boltzmann equation
We present first results of the development of a test particle simulation for
solving non-extensive extensions of the elastic two-particle Boltzmann
equation. Stationary one-particle energy distributions with power-law tail are
obtained.Comment: 6 pages, 2 figures, Quark Matter 2005 (Budapest) conferenc
Non-extensive equilibration in relativistic matter
We present a view of the non-extensive thermodynamics based on general
composition rules. A formal logarithm maps these rules to the addition, which
can be used to generate stationary distributions by standard techniques. We
review the most commonly used rules and as an application we discuss the
Tsallis-Pareto distribution of transverse momenta of energetic hadrons, which
emerge from relativistic heavy-ion collisions.Comment: Talk presented at SigmaPhi 2008 Conference, Crete, Greece. Submitted
to Central European Journal for Physic
New Entropy Formula with Fluctuating Reservoir
Finite heat reservoir capacity and temperature fluctuations lead to
modification of the well known canonical exponential weight factor. Requiring
that the corrections least depend on the one-particle energy, we derive a
deformed entropy, K(S). The resulting formula contains the Boltzmann-Gibbs, the
Renyi and the Tsallis formulas as particular cases. For extreme large
fluctuations (compared to the Gaussian case) a new, parameter-free entropy -
probability relation emerges. This formula and the corresponding canonical
equilibrium distribution are nearly Boltzmannian for high probability, but
deviate from the classical result for low probability. In the extreme large
fluctuation limit the canonical distribution resembles for low probability the
cumulative Gompertz distribution
What is the temperature in heavy ion collisions?
We consider the Tsallis distribution as the source of the apparent slope of
one-particle spectra in heavy-ion collisions and investigate the equation of
state of this special quark matter in the framework of non-extensive
thermodynamics.Comment: Talk given by T.S.Biro at RHIC School 2003, Dec.8-11, 2003, Budapest,
Hungar
Pion and Kaon Spectra from Distributed Mass Quark Matter
After discussing some hints for possible masses of quasiparticles in quark
matter on the basis of lattice equation of state, we present pion and kaon
transverse spectra obtained by recombining quarks with distributed mass and
thermal cut power-law momenta as well as fragmenting by NLO pQCD with intrinsic
{and nuclear} broadening.Comment: Talk given at SQM 200
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