Within the framework of general relativity (GR), this study investigates the validity of the Generalised Second Law of Thermodynamics (GSLT) to generalised Chaplygin gas (GCG) and modified Chaplygin gas (MCG) models both with and without bulk viscosity, using Rényi entropy. The thermodynamic stability of GCG and MCG, as well as the robustness of Rényi entropy in explaining the thermodynamic behaviour of the cosmos, are confirmed by our results which show that the models meet the GSLT with the total entropy change remaining positive. We further observe that adding bulk viscosity does not compromise the GSLT’s validity, demonstrating viscosity effects do not violate the fundamental thermodynamic laws governing cosmic evolution.

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Study of Generalised Second Law of Thermodynamics of Chaplygin Gas Using the VDW Fluid with Rényi entropy formulation

  • Khandro K Chokyi,
  • Surajit Chattopadhyay

摘要

Within the framework of general relativity (GR), this study investigates the validity of the Generalised Second Law of Thermodynamics (GSLT) to generalised Chaplygin gas (GCG) and modified Chaplygin gas (MCG) models both with and without bulk viscosity, using Rényi entropy. The thermodynamic stability of GCG and MCG, as well as the robustness of Rényi entropy in explaining the thermodynamic behaviour of the cosmos, are confirmed by our results which show that the models meet the GSLT with the total entropy change remaining positive. We further observe that adding bulk viscosity does not compromise the GSLT’s validity, demonstrating viscosity effects do not violate the fundamental thermodynamic laws governing cosmic evolution.