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Nuclear multifragmentation in nonextensive statistics: canonical formulation

Gudima1, Parvan, Ploszajczak

  • 1Grand Accelerateur National d'Ions Lourds, CEA/DSM-CNRS/IN2P3, BP 5027, F-14076 Caen Cedex 05, France and Institute of Applied Physics, Moldova Academy of Sciences, MD-2028 Kishineu, Moldova.

Physical Review Letters
|November 18, 2000
PubMed
Summary
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This study explores nuclear multifragmentation using Tsallis nonextensive thermostatistics. Results show significant changes in critical behavior near the nuclear liquid-gas phase transition compared to standard models.

Area of Science:

  • Nuclear Physics
  • Statistical Mechanics
  • Quantum Statistics

Background:

  • Nuclear multifragmentation describes the breakup of atomic nuclei.
  • The liquid-gas phase transition is a key phenomenon in nuclear matter.
  • Conventional models often use Boltzmann-Gibbs statistical mechanics.

Purpose of the Study:

  • To apply Tsallis nonextensive thermostatistics to nuclear multifragmentation.
  • To investigate modifications to critical behavior in nuclear systems.
  • To compare findings with the canonical quantum statistical model.

Main Methods:

  • Utilizing the canonical quantum statistical model.
  • Generalizing the model within Tsallis nonextensive thermostatistics.
  • Performing test calculations for a system of A = 197 nucleons.

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Main Results:

  • Strong modifications observed in the critical behavior.
  • Deviations from conventional Boltzmann-Gibbs statistical mechanics are significant.
  • The nuclear liquid-gas phase transition is strongly affected.

Conclusions:

  • Tsallis nonextensive thermostatistics offers a new framework for nuclear multifragmentation.
  • This approach alters the understanding of critical phenomena in nuclear matter.
  • The model provides a more generalized description beyond standard statistical mechanics.