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Solidarity of signal of measures for the liquid-gas phase transition in the statistical multifragmentation model

Journal Article · · Physical Review C
 [1];  [2];  [3];  [4];  [5];  [6];  [2];  [7]
  1. Sichuan Univ., Chengdu (China); DOE/OSTI
  2. Sichuan Univ., Chengdu (China)
  3. Shaanxi Normal Univ., Xi'an (China)
  4. Sichuan Univ., Chengdu (China); Chinese Academy of Sciences, Lanzhou (China)
  5. Inner Mongolia Univ. for Nationalities, Tongliao (China)
  6. Xingyi Normal Univ. for Nationalities (China)
  7. Texas A & M Univ., College Station, TX (United States)
A systematic study of system size, N / Z asymmetry, and fragmenting volume effects as well as the Coulomb effect on experimental measures for the nuclear liquid-gas phase transition and the mechanism of phase transition are carried out in the framework of the statistical multifragmentation model (SMM). The measures examined here are the caloric curve, the specific heat capacity ( C v ), the multiplicity derivative (dM / dT), the moment parameters (M2 and γ2), the fluctuation of maximum fragment charge number (NVZ), the Fisher exponent (τ), and the Zipf's law parameter (ξ). A signal for the first-order phase transition for all the measures is observed. A stronger signal is observed in the system with smaller sizes or with more neutron rich or in smaller fragmenting volumes for the caloric curve, Cv, and dM/dT. The phase-transition temperatures are independent of the system size, N / Z asymmetry, fragmenting volume, and Coulomb force, which indicates these measures give a solid signal for the liquid-gas phase transition in SMM. On the other hand, the phase transition temperature and its behavior of the others slightly depend on the size, the N / Z asymmetry and the volume of the system. A negative heat capacity is observed for systems with As ≥ 100 without the Coulomb force but disappears with the Coulomb. An instructive picture is given in the charge distributions for the observed first-order phase transition.
Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
FG02-93ER40773
OSTI ID:
1610245
Alternate ID(s):
OSTI ID: 1512816
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 5 Vol. 99; ISSN PRVCAN; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (104)

Zpif's law in the liquid gas phase transition of nuclei journal December 1999
Birth, life and death of hot nuclei journal January 1989
Multifragmentation, link between fission and the liquid-gas phase-transition journal January 1993
Statistical multifragmentation of nuclei journal June 1995
Critical phenomena in hadronic matter and experimental isotopic yields in high energy proton-nucleus collisions journal December 1982
Signals of a phase transition in nuclear multifragmentation journal July 1988
Statistical multifragmentation in central Au + Au collisions at 35 MeV/u journal March 1996
The description of fragmentation as a critical phenomenon in high energy P-nucleus collisions journal April 1984
Statistical multifragmentation of nuclei journal February 1986
On the decay of very hot nuclei (I). Canonical metropolis sampling of multifragmentation journal January 1987
On the decay of very hot nuclei (II). Microcanonical metropolis sampling of multifragmentation journal January 1987
Production and characterization of hot nuclei in the reactions of 19 and 35 MeV/u 14N with 145Sm journal September 1988
Charged-particle calorimetry of 40Ar + 27Al reactions from 36 to 65 MeV/u journal August 1993
Multifragmentation of spectators in relativistic heavy-ion reactions journal March 1995
Negative heat capacity in the critical region of nuclear fragmentation: an experimental evidence of the liquid-gas phase transition journal February 2000
On the reliability of negative heat capacity measurements journal March 2002
Thermodynamical features of multifragmentation in peripheral Au + Au collisions at 35 A MeV journal April 1999
Towards the critical behavior for the light nuclei by NIMROD detector journal March 2005
Nuclear fragmentation and critical temperature for the liquid-gas phase transition region journal March 2005
Bimodality: A possible experimental signature of the liquid–gas phase transition of nuclear matter journal November 2006
Bimodality and Coulomb effects with a canonical thermodynamic model journal January 2009
Multifragmentation and phase transition for hot nuclei: recent progress journal March 2010
Relevance of equilibrium in multifragmentation journal March 2010
First-order derivative of cluster size as a new signature of phase transition in heavy ion collisions at intermediate energies journal August 2018
Nuclear spinodal fragmentation journal January 2004
The thermodynamic model for nuclear multifragmentation journal January 2005
Antisymmetrized molecular dynamics for heavy ion collisions journal October 2004
Nuclear multifragmentation and phase transition for hot nuclei journal October 2008
The many facets of the (non-relativistic) Nuclear Equation of State journal May 2014
Shannon information entropy in heavy-ion collisions journal March 2018
Neutron Capture and Nuclear Constitution journal February 1936
The theory of equilibrium critical phenomena journal July 1967
The theory of equilibrium critical phenomena journal January 1968
Multifragmentation: nuclei break up like percolation clusters journal October 1986
Investigation of critical behaviour from nuclear fragment yield ratios journal September 2011
Extraction of signals of a phase transition from nuclear multifragmentation journal September 1988
Temperatures and excitation energies of hot nuclei in the reactions of S 32 +Ag and O 16 +Ag at 30 MeV/nucleon journal February 1989
Mass dependence of critical behavior in nucleus-nucleus collisions journal March 1994
Extraction of critical exponents from very small percolation lattices journal June 1994
Scaling behavior in very small percolation lattices journal March 1997
Excitation energies and temperatures of hot nuclei produced in the reactions of 63 C u + 197 Au at 3 5 A MeV journal January 1997
Phase transition in a statistical model for nuclear multifragmentation journal March 1998
Caloric curve and conditional moments: Effects of secondary fragment decay journal February 1998
Light particle probes of expansion and temperature evolution: Coalescence model analyses of heavy ion collisions at 4 7 A   MeV journal August 2000
Statistical evolution of isotope composition of nuclear fragments journal May 2001
Caloric curves and critical behavior in nuclei journal March 2002
Role of Coulomb interaction in fragmentation journal February 2004
Evidence of critical behavior in the disassembly of nuclei with A ∼ 36 journal March 2004
Model-independent tracking of criticality signals in nuclear multifragmentation data journal March 2005
Critical behavior in light nuclear systems: Experimental aspects journal May 2005
Nuclear liquid-gas phase transition studied with antisymmetrized molecular dynamics journal July 2006
Tracing the evolution of the symmetry energy of hot nuclear fragments from the compound nucleus towards multifragmentation journal January 2007
Relevance of equilibrium in multifragmentation journal January 2009
Bimodality: A general feature of heavy ion reactions journal October 2009
Composition and thermodynamics of nuclear matter with light clusters journal January 2010
Power law behavior of the isotope yield distributions in the multifragmentation regime of heavy ion reactions journal November 2010
Analysis of fragment yield ratios in the nuclear phase transition journal May 2011
Investigation of the nuclear phase transition using the Landau free-energy approach journal January 2013
Experimental reconstruction of primary hot isotopes and characteristic properties of the fragmenting source in heavy-ion reactions near the Fermi energy journal October 2014
Finite-size effects on the phase diagram of the thermodynamical cluster model journal December 2015
Multiplicity derivative: A new signature of a first-order phase transition in intermediate-energy heavy-ion collisions journal June 2017
Statistical analysis of experimental multifragmentation events in Zn 64 + Sn 112 at 40 MeV/nucleon journal April 2018
Further studies of the multiplicity derivative in models of heavy ion collision at intermediate energies as a probe for phase transitions journal April 2018
Sensitivity study of experimental measures for the nuclear liquid-gas phase transition in the statistical multifragmentation model journal May 2018
Bimodality: A Sign of Critical Behavior in Nuclear Reactions journal January 2008
Quantum Nature of a Nuclear Phase Transition journal September 2008
Bimodal Behavior of the Heaviest Fragment Distribution in Projectile Fragmentation journal August 2009
Nuclear Fragment Mass Yields from High-Energy Proton-Nucleus Interactions journal November 1982
Fragment formation studied with antisymmetrized version of molecular dynamics with two-nucleon collisions journal May 1992
Probing the Nuclear Liquid-Gas Phase Transition journal August 1995
Application of Information Theory in Nuclear Liquid Gas Phase Transition journal November 1999
Universal Fluctuations in Heavy-Ion Collisions in the Fermi Energy Domain journal April 2001
Liquid to Vapor Phase Transition in Excited Nuclei journal January 2002
Influence of the Coulomb Interaction on the Liquid-Gas Phase Transition and Nuclear Multifragmentation journal November 2003
The Complement: A Solution to Liquid Drop Finite Size Effects in Phase Transitions journal May 2005
Bimodality as a Signal of a Liquid-Gas Phase Transition in Nuclei? journal December 2005
The theory of condensation and the critical point journal October 1967
Isospin and symmetry energy effects on nuclear fragment production in liquid-gas-type phase transition region journal June 2005
Challenges in nuclear dynamics and thermodynamics journal October 2006
Role of Quasiprojectile Isospin Asymmetry in Nuclear Fragmentation journal March 2012
Relevance of Equilibrium in Multifragmentation journal November 2009
Antisymmetrized Version of Molecular Dynamics with Two-Nucleon Collisions and Its Application to Heavy Ion Reactions journal May 1992
Nuclear Liquid-Gas Phase Transition Studied with Antisymmetrized Molecular Dynamics journal January 2004
Bimodality - a Sign of Critical Behavior in Nuclear Reactions text January 2007
The Quantum Nature of a Nuclear Phase Transition text January 2008
Bimodality and Coulomb effects with a canonical thermodynamic model text January 2008
Nuclear multifragmentation and phase transition for hot nuclei text January 2008
Critical behavior of the isotope yield distributions in the Multifragmentation Regime of Heavy Ion Reactions text January 2010
Analysis of fragment yield ratios in the nuclear phase transition text January 2010
Finite size effects on the phase diagram of the thermodynamical cluster model text January 2016
Multiplicity Derivative: A new signature of first order phase transition in intermediate energy heavy ion collision text January 2017
First-order derivative of cluster size as a new signature of phase transition in heavy ion collisions at intermediate energies text January 2018
Sensitivity study of experimental measures for the nuclear liquid-gas phase transition in the statistical multifragmentation model text January 2018
Model-independent tracking of criticality signals in nuclear multifragmentation data text January 2004
Critical Behavior in Light Nuclear Systems: Experimental Aspects text January 2004
Bimodality: a possible experimental signature of the liquid-gas phase transition of nuclear matter text January 2006
Thermodynamical features of multifragmentation in peripheral Au + Au Collisions at 35 A.MeV text January 1999
Application of Information Theory in Nuclear Liquid Gas Phase Transition text January 2001
Nuclear liquid-gas phase transition studied with antisymmetrized molecular dynamics text January 2003
The role of Coulomb interaction in fragmentation text January 2003
The Thermodynamic Model for Nuclear Multifragmentation text January 2004
The complement: a solution to liquid drop finite size effects in phase transitions text January 2004
Isospin and symmetry energy effects on nuclear fragment production in liquid-gas type phase transition region preprint January 2004
Bimodality as a signal of Liquid-Gas phase transition in nuclei? text January 2005

Figures / Tables (10)


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