The percolation phase transition and statistical multifragmentation in finite systems
The cumulant ratios up to fourth order of the Z distributions of the largest fragment in spectator fragmentation following 107,124Sn+Sn and 124La+Sn collisions at 600 MeV/nucleon have been investigated. They are found to exhibit the signatures of a second-order phase transition established with cubi...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-10-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320305669 |
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| author | T. Pietrzak A.S. Botvina J. Brzychczyk N. Buyukcizmeci A. Le Fèvre J. Łukasik P. Pawłowski C. Sfienti W. Trautmann A. Wieloch |
| author_facet | T. Pietrzak A.S. Botvina J. Brzychczyk N. Buyukcizmeci A. Le Fèvre J. Łukasik P. Pawłowski C. Sfienti W. Trautmann A. Wieloch |
| author_sort | T. Pietrzak |
| collection | DOAJ |
| description | The cumulant ratios up to fourth order of the Z distributions of the largest fragment in spectator fragmentation following 107,124Sn+Sn and 124La+Sn collisions at 600 MeV/nucleon have been investigated. They are found to exhibit the signatures of a second-order phase transition established with cubic bond percolation and previously observed in the ALADIN experimental data for fragmentation of 197Au projectiles at similar energies. The deduced pseudocritical points are found to be only weakly dependent on the A/Z ratio of the fragmenting spectator source. The same holds for the corresponding chemical freeze-out temperatures of close to 6 MeV.The experimental cumulant distributions are quantitatively reproduced with the Statistical Multifragmentation Model and parameters used to describe the experimental fragment multiplicities, isotope distributions and their correlations with impact-parameter related observables in these reactions. The characteristic coincidence of the zero transition of the skewness with the minimum of the kurtosis excess appears to be a generic property of statistical models and is found to coincide with the maximum of the heat capacity in the canonical thermodynamic fragmentation model. |
| first_indexed | 2024-12-11T07:56:52Z |
| format | Article |
| id | doaj.art-2bf6f66ffcdb4a11a740db1ed4ed9b84 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-11T07:56:52Z |
| publishDate | 2020-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-2bf6f66ffcdb4a11a740db1ed4ed9b842022-12-22T01:15:13ZengElsevierPhysics Letters B0370-26932020-10-01809135763The percolation phase transition and statistical multifragmentation in finite systemsT. Pietrzak0A.S. Botvina1J. Brzychczyk2N. Buyukcizmeci3A. Le Fèvre4J. Łukasik5P. Pawłowski6C. Sfienti7W. Trautmann8A. Wieloch9Smoluchowski Institute of Physics, Jagiellonian University, Pl-30348 Kraków, PolandInstitute for Theoretical Physics, J. W. Goethe University, D-60438 Frankfurt am Main, Germany; Institute for Nuclear Research, Russian Academy of Sciences, 117312 Moscow, RussiaSmoluchowski Institute of Physics, Jagiellonian University, Pl-30348 Kraków, Poland; Corresponding author.Department of Physics, University of Selçuk, 42079 Konya, TurkeyGSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, GermanyH. Niewodniczański Institute of Nuclear Physics, Pl-31342 Kraków, PolandH. Niewodniczański Institute of Nuclear Physics, Pl-31342 Kraków, PolandInstitute of Nuclear Physics, Johannes Gutenberg University, D-55099 Mainz, GermanyGSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, GermanySmoluchowski Institute of Physics, Jagiellonian University, Pl-30348 Kraków, PolandThe cumulant ratios up to fourth order of the Z distributions of the largest fragment in spectator fragmentation following 107,124Sn+Sn and 124La+Sn collisions at 600 MeV/nucleon have been investigated. They are found to exhibit the signatures of a second-order phase transition established with cubic bond percolation and previously observed in the ALADIN experimental data for fragmentation of 197Au projectiles at similar energies. The deduced pseudocritical points are found to be only weakly dependent on the A/Z ratio of the fragmenting spectator source. The same holds for the corresponding chemical freeze-out temperatures of close to 6 MeV.The experimental cumulant distributions are quantitatively reproduced with the Statistical Multifragmentation Model and parameters used to describe the experimental fragment multiplicities, isotope distributions and their correlations with impact-parameter related observables in these reactions. The characteristic coincidence of the zero transition of the skewness with the minimum of the kurtosis excess appears to be a generic property of statistical models and is found to coincide with the maximum of the heat capacity in the canonical thermodynamic fragmentation model.http://www.sciencedirect.com/science/article/pii/S0370269320305669Heavy ion collisionsPercolation theoryStatistical multifragmentation models |
| spellingShingle | T. Pietrzak A.S. Botvina J. Brzychczyk N. Buyukcizmeci A. Le Fèvre J. Łukasik P. Pawłowski C. Sfienti W. Trautmann A. Wieloch The percolation phase transition and statistical multifragmentation in finite systems Physics Letters B Heavy ion collisions Percolation theory Statistical multifragmentation models |
| title | The percolation phase transition and statistical multifragmentation in finite systems |
| title_full | The percolation phase transition and statistical multifragmentation in finite systems |
| title_fullStr | The percolation phase transition and statistical multifragmentation in finite systems |
| title_full_unstemmed | The percolation phase transition and statistical multifragmentation in finite systems |
| title_short | The percolation phase transition and statistical multifragmentation in finite systems |
| title_sort | percolation phase transition and statistical multifragmentation in finite systems |
| topic | Heavy ion collisions Percolation theory Statistical multifragmentation models |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320305669 |
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