Fluctuations of fragment observables
arXiv:nucl-ex/0611011 · doi:10.1140/epja/i2006-10121-x
Abstract
This contribution presents a review of our present theoretical as well as experimental knowledge of different fluctuation observables relevant to nuclear multifragmentation. The possible connection between the presence of a fluctuation peak and the occurrence of a phase transition or a critical phenomenon is critically analyzed. Many different phenomena can lead both to the creation and to the suppression of a fluctuation peak. In particular, the role of constraints due to conservation laws and to data sorting is shown to be essential. From the experimental point of view, a comparison of the available fragmentation data reveals that there is a good agreement between different data sets of basic fluctuation observables, if the fragmenting source is of comparable size. This compatibility suggests that the fragmentation process is largely independent of the reaction mechanism (central versus peripheral collisions, symmetric versus asymmetric systems, light ions versus heavy ion induced reactions). Configurational energy fluctuations, that may give important information on the heat capacity of the fragmenting system at the freeze out stage, are not fully compatible among different data sets and require further analysis to properly account for Coulomb effects and secondary decays. Some basic theoretical questions, concerning the interplay between the dynamics of the collision and the fragmentation process, and the cluster definition in dense and hot media, are still open and are addressed at the end of the paper. A comparison with realistic models and/or a quantitative analysis of the fluctuation properties will be needed to clarify in the next future the nature of the transition observed from compound nucleus evaporation to multi-fragment production.
Contribution to WCI (World Consensus Initiative) Book " "Dynamics and Thermodynamics with Nuclear Degrees of Freedom", to appear on Euorpean Physics Journal A as part of the Topical Volume. 9 pages, 12 figures
References in corpus (25)
- Phase Transitions in Warm, Asymmetric Nuclear Matter
- Negative heat capacity in the critical region of nuclear fragmentation: an experimental evidence of the liquid-gas phase transition
- Universality of Spectator Fragmentation at Relativistic Bombarding Energies
- On the reliability of negative heat capacity measurements
- Clusters in Simple Fluids
- Disappearance of Transverse Flow in Central Collisions for Heavier Nuclei
- Cnstructing the phase diagram of finite neutral nuclear matter
- First Order Phase Transition in Intermediate Energy Heavy Ion Collisions
- Statistical signatures of critical behavior in small systems
- Model-independent tracking of criticality signals in nuclear multifragmentation data
- Distribution of the largest fragment in the Lattice Gas Model
- Multifragmentation and the Phase Transition: A Systematic Study of the MF of 1A GeV Au, La, and Kr
- The complement: a solution to liquid drop finite size effects in phase transitions
- A model for nuclear matter fragmentation: phase diagram and cluster distributions
- Scaling in the Lattice Gas Model
- Correlations between signals of the liquid-gas phase transition in nuclei
- Transient backbending behavior in the Ising model with fixed magnetization
- Experimental Signals of Phase Transition
- Finite-size behaviour of the microcanonical specific heat
- Partial energies fluctuations and negative heat capacities
- Towards the critical behavior for the light nuclei by NIMROD detector
- Critical exponents and phase transition in gold nuclei fragmentation at energies 10.6 and 4.0 GeV/nucleon
- Enhancement of kinetic energy fluctuations due to expansion
- Tracking energy fluctuations from fragment partitions in the Lattice Gas model
- Time dependence of critical behavior in multifragmentation
Cited by in corpus (10)
- Nuclear multifragmentation and phase transition for hot nuclei
- Isospin dependent multifragmentation of relativistic projectiles
- Statistical approach for supernova matter
- Statistical description of complex nuclear phases in supernovae and proto-neutron stars
- Thermodynamic properties and shear viscosity over entropy density ratio of nuclear fireball in a quantum-molecular dynamics model
- Shear viscosity of hot nuclear matter by the mean free path method
- Fragment properties of fragmenting heavy nuclei produced in central and semi-peripheral collisions
- Shear viscosity to entropy density ratio in the Boltzmann-Uehling-Uhlenbeck model
- Effect of initial-state geometric configurations on the nuclear liquid-gas phase transition
- Fluctuation of the download network