Poincaré invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach

Sorge, H.; Stöcker, H.; Greiner, Walter

doi:10.1016/0003-4916(89)90136-x

Cited by 449 publications

(357 citation statements)

References 88 publications

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“…It is known that the UrQMD model [13,14] originates from its two working parents named the quantum molecular dynamics (QMD) model [15] (whose various modified versions have been successfully used for modeling HICs at SIS and even lower energies) and the relativistic molecular dynamics (RQMD) model [16] (whose following (hybrid) versions are being used to serve mainly for HICs at energies ranging from AGS, SPS, RHIC, up to LHC), respectively. Therefore, with a continuous maintenances and updates, a large number of theoretical analyses, predictions, and comparisons with data have been supplied by the UrQMD transport model for our community, over a larger range of beam energies.…”

Section: Urqmd Model and Collective Flowsmentioning

confidence: 99%

An explanation of the elliptic flow difference between proton and anti-proton from the UrQMD model with hadron potentials

Wang

et al. 2016

Sci. China Phys. Mech. Astron.

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The time evolution of both proton and anti-proton v 2 flows from Au+Au collisions at √ s N N =7.7GeV are examined by using both pure cascade and mean-field potential versions of the UrQMD model. Due to a stronger repulsion at the early stage introduced by the repulsive potentials and hence much less annihilation probabilities, anti-protons are frozen out earlier with smaller v 2 values. Therefore, the experimental data of anti-proton v 2 as well as the flow difference between proton and anti-proton can be reasonably described with the potential version of UrQMD.

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Section: Urqmd Model and Collective Flowsmentioning

confidence: 99%

An explanation of the elliptic flow difference between proton and anti-proton from the UrQMD model with hadron potentials

Wang

et al. 2016

Sci. China Phys. Mech. Astron.

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“…Last but not least, string and hadronic transport models [23,24] have been very successful in the AGS and SPS energy domains. They treat the early reaction phase as a superposition of hadron-hadron strings and are thus ill suited to describe the microscopic reaction dynamics of deconfined degrees of freedom.…”

Section: Dynamics: Transport Theory At Sps and Rhicmentioning

confidence: 99%

QGP theory: Status and perspectives

Bass

2003

Pramana - J Phys

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“…This formalism is not changing the notion of simultaneity by a change of the frame of reference, means one gets an invariant notion of simultaneity as well as invariant world lines. This method has been successfully applied already in complicated non-equilibrium situations namely, in order to calculate heavy ion reactions at intermediate and high energies ( [11], [12]). …”

Section: Introductionmentioning

confidence: 99%

Covariant equilibrium statistical mechanics

Lehmann¹

2006

Journal of Mathematical Physics

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Abstract:A manifest covariant equilibrium statistical mechanics is constructed starting with a 8N dimensional extended phase space which is reduced to the 6N physical degrees of freedom using the Poincaré-invariant constrained Hamiltonian dynamics describing the micro-dynamics of the system. The reduction of the extended phase space is initiated forcing the particles on energy shell and fixing their individual time coordinates with help of invariant time constraints.The Liouville equation and the equilibrium condition are formulated in respect to the scalar global evolution parameter which is introduced by the time fixation conditions. The applicability of the developed approach is shown for both, the perfect gas as well as the real gas.As a simple application the canonical partition integral of the monatomic perfect gas is calculated and compared with other approaches. Furthermore, thermodynamical quantities are derived.All considerations are shrinked on the classical Boltzmann gas composed of massive particles and hence quantum effects are discarded.

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Poincaré invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach

Cited by 449 publications

References 88 publications

An explanation of the elliptic flow difference between proton and anti-proton from the UrQMD model with hadron potentials

An explanation of the elliptic flow difference between proton and anti-proton from the UrQMD model with hadron potentials

QGP theory: Status and perspectives

Covariant equilibrium statistical mechanics

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