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

@article{Nozari2006ImplicationsOM, title={Implications of minimal length scale on the statistical mechanics of ideal gas}, author={Kourosh Nozari and S. Hamid Mehdipour}, journal={Chaos Solitons \& Fractals}, year={2006}, volume={32}, pages={1637-1644} }

## 39 Citations

### Some implications of three generalized uncertainty principles in statistical mechanics of an ideal gas

- Physics
- 2020

Several approaches to quantum gravity and high-energy physics predict the existence of a minimum length scale due to quantum gravitational corrections leading to the deformation/generalization of the…

### Statistical description of an ideal gas in maximum length quantum mechanics

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2019

### Thermostatistics with minimal length uncertainty relation

- Physics
- 2012

The existence of minimal length is suggested in any quantum theory of gravity such as string theory, double special relativity and black hole physics. One way to impose minimal length is by deforming…

### Some Details of Statistical Mechanics of Many-Body Systems in the Presence of a Measurable Minimal Length

- Physics
- 2017

Different approaches to quantum gravity proposal such as string theory, doubly special relativity, and also black holes physics, all commonly address the existence of a minimal measurable length of…

### Effect of the Minimal Length on the Thermodynamics of Ultra-Relativistic Ideal Fermi Gas

- Physics
- 2014

Based on the generalized uncertainty principle, the thermodynamics of Fermi gas in high density, high pressure and high temperature are calculated. As the temperature and density increases, the…

### Towards Thermodynamics with Generalized Uncertainty Principle

- Physics
- 2014

Various frameworks of quantum gravity predict a modification in the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Introducing quantum gravity effect makes a…

### The Minimal Length Uncertainty and the Nonextensive Thermodynamics

- Physics
- 2015

In this paper, we study the thermodynamics of quantum harmonic oscillator in the Tsallis framework and in the presence of a minimal length uncertainty. The existence of the minimal length is…

### The effects of quantum gravity on some thermodynamical quantities

- Physics
- 2016

In this paper, using a deformed algebra [X,P] = iℏ/(1 − α2P2) which is originated from various theories of gravity, we study thermodynamical properties of the classical and extreme relativistic gases…

### Non-Gaussian statistics from the generalized uncertainty principle

- PhysicsThe European Physical Journal Plus
- 2020

In many quantum gravity theories, there is the emergence of a generalized uncertainty principle (GUP), implying a minimal length of the order of the Planck length. From the statistical mechanics…

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