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

  title={Implications of minimal length scale on the statistical mechanics of ideal gas},
  author={Kourosh Nozari and S. Hamid Mehdipour},
  journal={Chaos Solitons \& Fractals},

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

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

Thermostatistics with minimal length uncertainty relation

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

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

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

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

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

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

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



Some aspects of gravitational quantum mechanics

String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a

A generalized uncertainty principle in quantum gravity

Hilbert space representation of the minimal length uncertainty relation.

The quantum mechanical structure which underlies the generalized uncertainty relation which quantum theoretically describes the minimal length as a minimal uncertainty in position measurements is studied.

Quantum-gravity and minimum length

The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory

Interpretation of Quantum Field Theories with a Minimal Length Scale

It has been proposed that the incorporation of an observer independent minimal length scale into the quantum field theories of the standard model effectively describes phenomenological aspects of

Quantum groups, gravity, and the generalized uncertainty principle.

  • Maggiore
  • Mathematics, Physics
    Physical review. D, Particles and fields
  • 1994
The result indicates that in the $\ensuremath{\kappa}$-deformed Poincar\'e algebra a minimal observable length emerges naturally.

The Search for Quantum Gravity Signals

We give an overview of ongoing searches for effects motivated by the study of the quantum‐gravity problem. We describe in greater detail approaches which have not been covered in recent “Quantum