The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation

Bonasera, A.; Gulminelli, F.; Molitoris, Joseph

doi:10.1016/0370-1573(94)90108-2

Cited by 285 publications

(212 citation statements)

References 221 publications

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“…[14,15,16]. Calculations using the Markovian limit of this semi-classical treatment, the so-called Boltzmann-Uehling-Uhlenbeck (BUU) approach, are discussed by many authors (for a review see [17]). However, as far as the collective behavior of nuclei at moderate temperature are concerned one may worry about the adequacy of semi-classical calculations which neglect most of the quantum features but the Pauli principle.…”

Section: Introductionmentioning

confidence: 99%

Finite temperature nuclear response in the extended random phase approximation

1998

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The nuclear collective response at finite temperature is investigated for the first time in the quantum framework of the small amplitude limit of the extended TDHF approach, including a non-Markovian collision term. It is shown that the collision width satisfies a secular equation. By employing a Skyrme force, the isoscalar monopole, isovector dipole and isoscalar quadrupole excitations in 40 Ca are calculated and important quantum features are pointed out. The collisional damping due to decay into incoherent 2p-2h states is small at low temperatures but increases rapidly at higher temperatures.

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Section: Introductionmentioning

confidence: 99%

Finite temperature nuclear response in the extended random phase approximation

1998

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“…We outline our approach on purely classical grounds, however the same results can be obtained within the Wigner transform formalism [4,5] of the quantum BBGKY-hierarchy in the limith → 0.…”

Section: The Balescu Lenard Vlasov Equationmentioning

confidence: 94%

“…Inserting Eq. (9) in the BLV equation gives the Hamilton equations of motion (eom) for the tp [4]. The weight factor fulfills the equation ∂ t σ i (t) = ∇ r i δU∇ k i δf 1 [11].…”

Section: The Balescu Lenard Vlasov Equationmentioning

confidence: 99%

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Color dynamics in phase space: The Balescu–Lenard–Vlasov approach

Bonasera¹

2001

Nuclear Physics A

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We propose to use the Balescu-Lenard-Vlasov (BLV) equation to describe relativistic heavy ion collisions. We use an inter-quark Richardson's potential consistent with the indications of Lattice QCD calculations. The color degrees of freedom are explicitly taken into account. We explicitly demonstrate that the Vlasov approach alone is insufficient in the hadronization region. In order to overcome this problem we prepare the initial condition for many events using molecular dynamics with frictional cooling and a ThomasFermi approximation to the Fermi motion. These events are averaged and propagated in time using the Vlasov approach. The fluctuations are used to evaluate the collision term and in turn the number of q-q created.

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“…Using the backtracing technique [13]- [15] the data will be compared with the predictions of two codes : GEMINI [16] for binary sequential decay, and the Statistical Multifragmentation Model (SMM) [17] for multifragmentation. The reaction dynamics was simulated by Boltzmann-Nordheim-Vlasov (BNV) transport model simulations which describe the evolution of the one-body distribution function according to the nuclear mean field and including the effects of two-body collisions with the test-particle method [18], [19]. We used a soft equation of state (K = 200 MeV) and a free nucleon-nucleon collision cross-section σ N N .…”

Section: Introductionmentioning

confidence: 99%

Multifragmentation threshold in 93Nb+natMg collisions at 30 MeV/nucleon

Manduci¹,

Lopez²,

Steckmeyer³

et al. 2008

Nuclear Physics A

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We analyzed the 93 N b on nat M g reaction at 30 MeV/nucleon in the aim of disentangling binary sequential decay and multifragmentation decay close to the energy threshold, i.e. ≃ 3 MeV/nucleon. Using the backtracing technique applied to the statistical models GEMINI and SMM we reconstruct simulated charge, mass and excitation energy distributions and compare them to the experimental ones. We show that data are better described by SMM than by GEMINI in agreement with the fact that multifragmentation is responsible for fragment production at excitation energies around 3 MeV/nucleon.

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The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation

Cited by 285 publications

References 221 publications

Finite temperature nuclear response in the extended random phase approximation

Finite temperature nuclear response in the extended random phase approximation

Color dynamics in phase space: The Balescu–Lenard–Vlasov approach

Multifragmentation threshold in 93Nb+natMg collisions at 30 MeV/nucleon

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