Thermodynamics of Ideal Gas in Doubly Special Relativity
Nitin Chandra, Sandeep Chatterjee
TL;DR
This paper explores the thermodynamics of an ideal gas within Doubly Special Relativity, introducing new mathematical functions and revealing non-perturbative effects and a stiffer equation of state compared to standard relativity.
Contribution
It introduces Incomplete Modified Bessel functions and provides a series solution for the partition function in DSR, highlighting non-perturbative thermodynamic behavior.
Findings
DSR thermodynamics is non-perturbative in SR and massless limits
A series solution for the partition function is derived
A stiffer equation of state is observed in DSR
Abstract
We study thermodynamics of an ideal gas in Doubly Special Relativity. New type of special functions (which we call Incomplete Modified Bessel functions) emerge. We obtain a series solution for the partition function and derive thermodynamic quantities. We observe that DSR thermodynamics is non-perturbative in the SR and massless limits. A stiffer equation of state is found.
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