Model-independent tracking of criticality signals in nuclear multifragmentation data

Frankland, J.D.; Chbihi, A.; Mignon, A.; Begemann-Blaich, M.; Bittiger, R.; Borderie, B.; Bougault, R.; Charvet, J. L.; Cussol, D.; Dayras, R.; Durand, Dominique; Escano-Rodriguez, C.; Galichet, E.; Guinet, D.; Lautesse, P.; Févre, A. Le; Légrain, R.; Neindre, N. Le; Lopez, O.; Łukasik, J.; Lynen, U.; Manduci, L.; Marie, J.; Müller, W. F. J.; Orth, H.; Pârlog, M.; Pichon, M.; Rivet, M. F.; Rosato, E.; Roy, R.; Saija, A.; Schwarz, C.; Sfienti, C.; Tamain, B.; Trautmann, W.; Trzciński, A.; Turzó, K.; Lauwe, A. Van; Vigilante, M.; Volant, C.; Wieleczko, J. P.; Zwiȩgliński, B.; Vient, E.; Nalpas, L.

doi:10.1103/physrevc.71.034607

Cited by 43 publications

(23 citation statements)

References 71 publications

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“…We can use this interpretation to understand the system mass-dependence of the energy of transition from ∆ = 1 /2 to ∆ = 1 scaling presented in [53] Radial expansion in central heavy-ion collisions occurs after significant compression of the incoming nuclear fluid, and as such depends not only on static nuclear matter properties such as incompressibility, but also on transport properties such as the degree of stopping achieved in the collision [78]. The latter increases with the mass of the colliding nuclei, as shown in [79] Conclusions We have shown that, for finite systems, the largest cluster size distribution in critical aggregation models is an admixture of the two asymptotic distributions observed far below and above the critical region.…”

Section: Experimental Analysis Collisions Ofmentioning

confidence: 99%

Nuclear Multifragmentation Time Scale and Fluctuations of the Largest Fragment Size

et al. 2013

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Distributions of the largest fragment charge, Zmax, in multifragmentation reactions around the Fermi energy can be decomposed into a sum of a Gaussian and a Gumbel distribution, whereas at much higher or lower energies one or the other distribution is asymptotically dominant. We demonstrate the same generic behavior for the largest cluster size in critical aggregation models for small systems, in or out of equilibrium, around the critical point. By analogy with the timedependent irreversible aggregation model, we infer that Zmax distributions are characteristic of the multifragmentation time-scale, which is largely determined by the onset of radial expansion in this energy range. Introduction In central heavy-ion collisions at beam energies of ∼20-150 MeV/A multiple production of nuclear fragments can be observed, compatible with the quasi-simultaneous break-up of finite pieces of excited nuclear matter [1][2][3][4][5][6][7]. This so-called "nuclear multifragmentation" is a fascinating process [8] which has long been associated with a predicted liquid-gas coexistence region in the nuclear matter phase diagram at sub-critical temperatures and sub-saturation densities [9][10][11]. Statistical [12][13][14][15][16][17][18][19] and dynamical [20][21][22][23][24] aspects have been widely studied, and evidences supporting equally well either a continuous phase transition of the liquid-gas universality class [13,14,[25][26][27][28][29][30], a discontinuous ("first-order") transition occurring within the coexistence region [29][30][31][32][33][34][35], or indeed the survival of initial-state correlations in a purely dynamical picture [36,37] have been presented. This state of affairs well demonstrates the difficulty of quantitatively identifying a phase transition in small systems such as atomic nuclei, where finite-size effects blur the nature of the transition [38][39][40] whose order may indeed change with the size of the system [29,30], along with the importance of long-range Coulomb forces [4,19,41,42], and presence of dynamical effects such as radial flow [43][44][45][46][47][48][49].In this context we have tried to establish generic features of multifragmentation in order to deduce its nature in a less model-dependent way. In our previous works [50], we used the model-independent universal fluctua-

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Section: Experimental Analysis Collisions Ofmentioning

confidence: 99%

Nuclear Multifragmentation Time Scale and Fluctuations of the Largest Fragment Size

et al. 2013

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“…As energy increases the width values for all systems tend to merge, suggesting that, when the multiplicity cut reaches a high enough value (of the order of 15), the increase of the width is related to intrinsic fluctuations, whatever the number of particles. It may be noted that the beam energy where the merging occurs has the same dependence on the system mass as the transition energy from the order to disorder regime seen in the universal fluctuations of the largest fragment [26].…”

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Study of Nuclear Stopping in Central Collisions at Intermediate Energies

et al. 2010

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Nuclear stopping has been investigated in central nuclear collisions at intermediate energies by analyzing kinematically complete events recorded with the help of the 4π multidetector INDRA for a large variety of symmetric systems. It is found that the mean isotropy ratio defined as the ratio of transverse to parallel momenta (energies) reaches a minimum near the Fermi energy, saturates or slowly increases depending on the mass of the system as the beam energy increases, and then stays lower than unity, showing that significant stopping is not achieved even for the heavier systems. Close to and above the Fermi energy, experimental data show no effect of the isospin content of the interacting system. A comparison with transport model calculations reveals that the latter overestimates the stopping power at low energies.

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“…System mass (size) dependence of ∆-scaling for central symmetric collisions was studied in [252] where the behaviour of Z max as an order parameter was confirmed for the lighter systems Ar+KCl and Ni+Ni. It was shown that the bombarding energy at which the change of ∆-scaling occurs decreases with the size of the system; for the heaviest system studied (Au+Au) only the ∆ = 1 scaling is observed down to the lowest studied beam energy of 40 MeV per nucleon incident energy.…”

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confidence: 99%