Relativistic Bosons in a Rigidly Rotating Medium: Thermodynamic Instabilities and Bose-Einstein Condensation

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Siri Palang Dareh, Ebrahim | 2025

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 58244 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Sadooghi, Neda
Abstract:
This study explores the relationship between rigid rotation, thermodynamic instabilities, and quantum phase transitions in a relativistic Bose gas. By utilizing the thermodynamic potential derived from the Fock-Schwinger formalism, we demonstrate how angular velocity induces thermodynamic instabilities at high temperatures and in strong interaction regimes. These instabilities manifest as a negative moment of inertia, hypersonic sound velocity, and peculiar behavior in heat capacity. Furthermore, we examine how rigid rotation impacts the Bose-Einstein condensation (BEC). In both nonrelativistic and ultrarelativistic regimes, rotation decreases the critical temperature of the BEC, suppresses the condensate fraction, and alters the BEC phase transition from continuous to discontinuous. This framework emphasizes the dual role of rigid rotation: It induces thermodynamic instabilities in a relativistic Bose gas while also impacting quantum coherence in various ways. These findings provide valuable insights for understanding rotating quantum systems in astrophysics, high-energy physics, and condensed matter physics
Keywords:
Rigid Rotation ; Inertial Moment ; Bose-Einstein Condensation ; Critical Temperature ; Thermodynamic Instability ; Phase Transition