Implications of minimal length scale on the statistical mechanics of ideal gas

2006/01/31 by Kourosh Nozari, S. Hamid Mehdipour, S. H. Mehdipour · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.chaos.2006.09.019

published as ChaosSolitonsFractals32:1637-1644,2007 · 14 Pages, No Figures, Title Changed, Revised Version

openalex publication_date 2006/10/03 · arxiv created 2006/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Several alternative approaches to quantum gravity problem suggest the modification of the \it fundamental volume ω₀ of the accessible phase space for representative points. This modified fundamental volume has a novel momentum dependence. In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the microcanonical ensemble and using the generalized uncertainty principle(GUP). Although the induced modifications are important only in quantum gravity era, possible experimental manifestation of these effects may provides strong support for underlying quantum gravity proposal.

Citations

• On Generalized Uncertainty Principle
• Black holes at neutrino telescopes
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• BRANE-PRODUCTION AND THE NEUTRINO–NUCLEON CROSS SECTION AT ULTRAHIGH ENERGIES IN LOW SCALE GRAVITY MODELS

Cited by

• EFFECTS OF THE GENERALIZED UNCERTAINTY PRINCIPLE ON THE INFLATION PARAMETERS
• Statistical mechanics of ideal gas in the presence of minimal length and maximal momentum