Thermostatistical properties of a q-deformed bosonic exciton gas

Zeng, Qi-Jun; Cheng, Ze; Yuan, Jian-Hui

doi:10.1140/epjb/e2011-20004-7

Cited by 21 publications

(9 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The structure of 3 was determined by NMR ( 1 H, 13 C, and 2D NMR) and high‐resolution mass spectrometry. Single‐crystal X‐ray diffraction analysis of 3 indicated that this cyclic product possesses a general isocopalane skeleton including axial (α‐face) C17/C20 and axial (β‐face) H5/H9 9. This finding inspired us to examine the behavior of the allylic sodium sulfonate‐mediated ring‐closing reaction and apply it to the construction of the isocopalane skeleton.…”

Section: Methodsmentioning

confidence: 99%

Construction of the Isocopalane Skeleton: Application of a Desulfinylative 1,7‐Hydrogen Atom Transfer Strategy

Xiao

Zeng

et al. 2015

Chemistry A European J

View full text Add to dashboard Cite

Two attractive chirons, aldehyde 6 and chloride 7, exhibiting functionalized ent-spongiane-type tricyclic skeletons (ABC ring system), have been constructed and their absolute configurations have been studied by NMR spectroscopy and confirmed by single-crystal X-ray diffraction. Both of these chirons are derived from commercially available andrographolide in good yield. Aldehyde 6 is obtained through a novel K2 S2 O8 -catalyzed aquatic ring-closing reaction of allylic sodium sulfonate and intramolecular 1,7-hydrogen atom transfer process. Further mechanistic investigations demonstrate that the 1,7-hydrogen atom transfer is a free-radical process, whereby hydrogen migrates from C18 to C17, as evidenced by double-18- deuterium-labeled isotope experiments. Prospective applications of these two chiral sources are also discussed.

show abstract

Section: Methodsmentioning

confidence: 99%

Construction of the Isocopalane Skeleton: Application of a Desulfinylative 1,7‐Hydrogen Atom Transfer Strategy

Xiao

Zeng

et al. 2015

Chemistry A European J

View full text Add to dashboard Cite

show abstract

“…of q-deformed bosons, as explicitly shown in [15]. There are also some other works [16][17][18][19][20][21] on the effective description of composite particles (excitons, nucleons, molecules, etc.) by the use of deformed ones.…”

Section: Introductionmentioning

confidence: 89%

“…To consider the interaction jointly with the compositeness of the particles of a gas, we use the function φμ ,q (n) = (1 +μ)[n] q −μ([n] q ) 2 (18) and the respective (μ, q)-extension of the Jackson derivative zD (μ,q)…”

Section: Account For Both Compositeness and Interaction Of Particlesmentioning

confidence: 99%

Deformed Bose Gas Models Aimed at Taking into Account Both Compositeness of Particles and Their Interaction

Gavrilik

Mishchenko

2013

Ukr. J. Phys.

View full text Add to dashboard Cite

We consider the deformed Bose gas model with the deformation structure function that is the combination of a q-deformation and a quadratically polynomial deformation. Such a choice of the unifying deformation structure function enables us to describe the interacting gas of composite (two-fermionic or two-bosonic) bosons. Using the relevant generalization of the Jackson derivative, we derive a two-parametric expression for the total number of particles, from which the deformed virial expansion of the equation of state is obtained. The latter is interpreted as the virial expansion for the effective description of a gas of interacting composite bosons with some interaction potential. K e y w o r d s: deformed oscillators, deformed Bose gas model, non-ideal Bose gas, virial expansion, modified Jackson derivative, virial coefficients, composite bosons.

show abstract

“…In nanoscience, low temperature behaviour of deformed fermion gas models have been used to study the interactions of quasiparticles in nanomaterials [14]. Moreover, q-deformed bosonic exciton gas has been shown to constitute the high density limit of Frenkel excitons providing valuable insights into their properties within nanomaterials [15]. In condensed matter physics, q-deformed Einstein's model has been used to describe the specific heat of solids by introducing temperature fluctuations through the parameter q [16].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of observables in a q-deformed harmonic oscillator

2020

View full text Add to dashboard Cite

Chaos in classical systems has been studied in plenty over many years. Although the search for chaos in quantum systems has been an area of prominent research over the last few decades, the detailed analysis of many inherently chaotic quantum systems based on expectation values of dynamical variables has not been reported in the literature. In this paper, we extend the study of dynamical behaviour using expectation values of variables to a q-deformed harmonic oscillator. The system is found to be periodic, quasi-periodic or chaotic depending on the values of the deformation parameter q and the deformed coherent amplitude αq, thus enabling us to explicitly classify the chaotic nature of the system on the basis of these parameters. The chaotic properties of the system are clearly illustrated through recurrence plots, power spectra, first-return-time distributions and Lyapunov exponents of the time series obtained for the expectation values of the dynamic variables.

show abstract

Thermostatistical properties of a q-deformed bosonic exciton gas

Cited by 21 publications

References 31 publications

Construction of the Isocopalane Skeleton: Application of a Desulfinylative 1,7‐Hydrogen Atom Transfer Strategy

Construction of the Isocopalane Skeleton: Application of a Desulfinylative 1,7‐Hydrogen Atom Transfer Strategy

Deformed Bose Gas Models Aimed at Taking into Account Both Compositeness of Particles and Their Interaction

Dynamics of observables in a q-deformed harmonic oscillator

Contact Info

Product

Resources

About