Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2005.03704 · Physics Letters A

Partition functions and thermodynamic properties of paraboson and parafermion systems

Nedialka I. Stoilova, Joris Van Der Jeugt

Published Mar 23, 2020• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2020.126421

Related papers

Phase transitions and the distribution of temperature zeros of the partition function

Siegfried Großmann, W. Rosenhauer

Zeitschrift für Physik A Hadrons and Nuclei•Oct 1, 1969•46 citations

Partition Functions for Multilevel Parabosonic Systems

Mitsuru Hama, Makoto Sawamura, Hidenori Suzuki

We calculate the partition functions for the parabosonic systems of level N;;;; order p.The partition functions are compact, independent of p and equivalent to those of the systems of N(N -1) /2 bosonic pairs in addition to N ordinary bosons.We also present a closed form of partition function for two-level parafermion system. § 1. IntroductionMany important properties of para quantum theories l ) have been clarified.2)-7)

Progress of Theoretical Physics•Dec 1, 1991•4 citations

Parafermions in spin lattices

Arpit Dua, Huaixiu Zheng, Liang Jiang

Bulletin of the American Physical Society•Mar 14, 2016•0 citations

DISTRIBUTION OF PARASTATISTICS FUNCTIONS: AN OVERVIEW OF THERMODYNAMICS PROPERTIES

R. Yosi Aprian Sari, Wipsar Sunu Brams Dwandaru

This study aims to determine the thermodynamic properties of the parastatistics system of order two. The thermodynamic properties to be searched include the Grand Canonical Partition Function (GCPF) Z, and the average number of particles N. These parastatistics systems is in a more general form compared to quantum statistical distribution that has been known previously, i.e.: the Fermi-Dirac (FD) and Bose-Einstein (BE). Starting from the recursion relation of grand canonical partition function for parastatistics system of order two that has been known, recuresion linkages for some simple thermodynamic functions for parastatistics system of order two are derived. The recursion linkages are then used to calculate the thermodynamic functions of the model system of identical particles with limited energy levels which is similar to the harmonic oscillator. From these results we concluded that from the Grand Canonical Partition Function (GCPF), Z, the thermodynamics properties of parastatistics system of order two (paraboson and parafermion) can be derived and have similar shape with parastatistics system of order one (Boson and Fermion). The similarity of the graph shows similar thermodynamic properties. Keywords: parastatistics, thermodynamic properties

Jurnal Sains Dasar•May 20, 2016•0 citations

Thermodynamic Functions of a Parabosonic System of Second Order

R Y A Sari, Wipsar Sunu Brams Dwandaru

This study aims to determine the thermodynamic properties of a paraboson system of order two. The thermodynamic properties to be searched include the grand canonical partition function (GCPF), Z , and the average number of particles, N . These parastatistics systems is a more general form compared to a quantum statistical distribution that has been known previously, i.e. Bose-Einstein statistics (BE). Starting from the recursion relation of the GCPF for paraboson system of order two, recursion linkages for some simple thermodynamic functions for paraboson system of order two may be derived. The recursion linkages are then used to calculate the thermodynamic function of the model system of identical particles with limited energy levels which is similar to the harmonic oscillator. The results from Z show that the thermodynamics properties of the paraboson system of order two can be derived and have a similar shape with paraboson system of order one (boson). The similarity of the graph shows similar thermodynamic properties.

Journal of Physics Conference Series•Nov 1, 2017•0 citations

Bosonization for fermions and parafermions

Thomas L. Schmidt

arXiv:1907.11413•The European Physical Journal Special Topics•Feb 1, 2020•13 citations
This study aims to determine the thermodynamic properties of the parastatistics system of order two. The thermodynamic properties to be searched include the Grand Canonical Partition Function (GCPF) Z, and the average number of particles N. These parastatistics systems is in a more general form compared to quantum statistical distribution that has been known previously, i.e.: the Fermi-Dirac (FD) and Bose-Einstein (BE). Starting from the recursion relation of grand canonical partition function for parastatistics system of order two that has been known, recuresion linkages for some simple thermodynamic functions for parastatistics system of order two are derived. The recursion linkages are then used to calculate the thermodynamic functions of the model system of identical particles with limited energy levels which is similar to the harmonic oscillator. From these results we concluded that from the Grand Canonical Partition Function (GCPF), Z, the thermodynamics properties of parastatistics system of order two (paraboson and parafermion) can be derived and have similar shape with parastatistics system of order one (Boson and Fermion). The similarity of the graph shows similar thermodynamic properties. Keywords: parastatistics, thermodynamic properties
This study aims to determine the thermodynamic properties of a paraboson system of order two. The thermodynamic properties to be searched include the grand canonical partition function (GCPF), Z , and the average number of particles, N . These parastatistics systems is a more general form compared to a quantum statistical distribution that has been known previously, i.e. Bose-Einstein statistics (BE). Starting from the recursion relation of the GCPF for paraboson system of order two, recursion linkages for some simple thermodynamic functions for paraboson system of order two may be derived. The recursion linkages are then used to calculate the thermodynamic function of the model system of identical particles with limited energy levels which is similar to the harmonic oscillator. The results from Z show that the thermodynamics properties of the paraboson system of order two can be derived and have a similar shape with paraboson system of order one (boson). The similarity of the graph shows similar thermodynamic properties.