scholarly journals Thermodynamics of Low-Dimensional Trapped Fermi Gases

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Francisco J. Sevilla
Keyword(s):  
Isothermal Compressibility ◽  
Chemical Potential ◽  
Particle Density ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Nonmonotonic Dependence ◽  
Characteristic Temperatures ◽  
Low Dimensionality ◽  
Thermodynamic Regime ◽  
Low Dimensional

The effects of low dimensionality on the thermodynamics of a Fermi gas trapped by isotropic power-law potentials are analyzed. Particular attention is given to different characteristic temperatures that emerge, at low dimensionality, in the thermodynamic functions of state and in the thermodynamic susceptibilities (isothermal compressibility and specific heat). An energy-entropy argument that physically favors the relevance of one of these characteristic temperatures, namely, the nonvanishing temperature at which the chemical potential reaches the Fermi energy value, is presented. Such an argument allows interpreting the nonmonotonic dependence of the chemical potential on temperature, as an indicator of the appearance of a thermodynamic regime, where the equilibrium states of a trapped Fermi gas are characterized by larger fluctuations in energy and particle density as is revealed in the corresponding thermodynamics susceptibilities.

Chemical potential of the low-dimensional multisubband Fermi gas

2010 ◽  
Vol 22 (46) ◽  
pp. 465304 ◽  
Author(s):  
Elena S Sokolova ◽  
Sviatoslav S Sokolov ◽  
Nelson Studart
Keyword(s):  
Chemical Potential ◽  
Fermi Gas ◽  
Low Dimensional

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

Phosphate tungsten bronze series: crystallographic and structural properties of low-dimensional conductors

2001 ◽  
Vol 57 (5) ◽  
pp. 603-632 ◽  
Author(s):  
P. Roussel ◽  
O. Pérez ◽  
Ph. Labbé
Keyword(s):  
Crystal Structures ◽  
Structural Properties ◽  
Tungsten Bronze ◽  
Structural Description ◽  
X Ray ◽  
X Ray Scattering ◽  
Modulated Structures ◽  
Low Dimensionality ◽  
Low Dimensional ◽  
Thickness Function

Phosphate tungsten bronzes have been shown to be conductors of low dimensionality. A review of the crystallographic and structural properties of this huge series of compounds is given here, corresponding to the present knowledge of the different X-ray studies and electron microscopy investigations. Three main families are described, monophosphate tungsten bronzes, Ax (PO2)4(WO3)2m , either with pentagonal tunnels (MPTBp) or with hexagonal tunnels (MPTBh), and diphosphate tungsten bronzes, Ax (P2O4)2(WO3)2m , mainly with hexagonal tunnels (DPTBh). The general aspect of these crystal structures may be described as a building of polyhedra sharing oxygen corners made of regular stacking of WO3-type slabs with a thickness function of m, joined by slices of tetrahedral PO4 phosphate or P2O7 diphosphate groups. The relations of the different slabs with respect to the basic perovskite structure are mentioned. The structural description is focused on the tilt phenomenon of the WO6 octahedra inside a slab of WO3-type. In this respect, a comparison with the different phases of the WO3 crystal structures is established. The various modes of tilting and the different possible connections between two adjacent WO3-type slabs involve a great variety of structures with different symmetries, as well as the existence of numerous twins in MPTBp's. Several phase transitions, with the appearance of diffuse scattering and modulation phenomena, were analysed by X-ray scattering measurements and through the temperature dependence of various physical properties for the MPTBp's. The role of the W displacements within the WO3-type slabs, in two modulated structures (m = 4 and m = 10), already solved, is discussed. Finally, the complexity of the structural aspects of DPTBh's is explained on the basis of the average structures which are the only ones solved.

scholarly journals Transverse Momentum Distributions of Hadrons Produced in Pb-Pb Collisions at LHC EnergysNN=2.76TeV

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Saeed Uddin ◽  
Inam-ul Bashir ◽  
Riyaz Ahmed Bhat
Keyword(s):  
Experimental Data ◽  
Transverse Momentum ◽  
Chemical Potential ◽  
Particle Density ◽  
Strong Increase ◽  
Collective Flow ◽  
Alice Experiment ◽  
Particle Species ◽  
Transverse Momentum Spectra ◽  
Freeze Out

The transverse momentum spectra of several types of hadrons,p,p̅,K+,K-,Ks0,Λ,Ω,Ω̅,Ξ-, andΞ̅produced in most central Pb-Pb collisions at LHC energysNN=2.76 TeV have been studied at midrapidity (|y|<0.5) using an earlier proposed unified statistical thermal freeze-out model. The calculated results are found to be in good agreement with the experimental data measured by the ALICE experiment at LHC. The model calculation fits provide the thermal freeze-out conditions in terms of the temperature and collective flow effect parameters for different particle species. Interestingly the model parameter fits to the experimental data reveal stronger collective flow in the system and lesser freeze-out temperatures of the different particle species as compared to Au-Au collisions at RHIC. The strong increase of the collective flow appears to be a consequence of the increasing particle density at LHC. The model used incorporates a longitudinal as well as transverse hydrodynamic flow. The chemical potential has been assumed to be nearly equal to zero for the bulk of the matter owing to high degree of nuclear transparency effect at such collision energies. The contributions from heavier decay resonances are also taken into account.

Isothermal compressibility in Fermi gases in an optical lattice

2019 ◽  
Vol 99 (2) ◽  
Author(s):  
Cheng-Gong Liang ◽  
Yue-Xin Huang ◽  
Fei-Hong Liu ◽  
Yunbo Zhang ◽  
Guang-Can Guo ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Isothermal Compressibility ◽  
Fermi Gases

scholarly journals A new scheme of coupling and synchronizing low-dimensional dynamical systems

2021 ◽  
Vol 67 (2 Mar-Apr) ◽  
pp. 334
Author(s):  
U. Uriostegui Legorreta ◽  
E. S. Tututi Hernández ◽  
G. Arroyo-Correa
Keyword(s):  
Dynamical Systems ◽  
Chaotic Systems ◽  
Nonlinear Circuits ◽  
Bifurcation Diagrams ◽  
Partial Synchronization ◽  
Low Dimensionality ◽  
Low Dimensional ◽  
The Way

A different manner of study synchronization between chaotic systems is presented. This is done by using two different forced coupled nonlinear circuits. The way of coupling the systems under study is different from those used in the analysis of chaos in dynamical systems of low dimensionality. The study of synchronization and how to manipulate it, is carried out through the variation of the couplings by calculating the bifurcation diagrams. We observed that for rather larger values of the coupling between the circuits it is reached total synchronization, while for small values of the coupling it is obtained, in the best of the cases, partial synchronization.

Polarization and Ideology: Partisan Sources of Low Dimensionality in Scaled Roll Call Analyses

2014 ◽  
Vol 22 (4) ◽  
pp. 435-456 ◽  
Author(s):  
John H. Aldrich ◽  
Jacob M. Montgomery ◽  
David B. Sparks
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Dimensional Space ◽  
Roll Call ◽  
Policy Space ◽  
Policy Conflict ◽  
Party Polarization ◽  
Misleading Evidence ◽  
Low Dimensionality ◽  
Low Dimensional

In this article, we challenge the conclusion that the preferences of members of Congress are best represented as existing in a low-dimensional space. We conduct Monte Carlo simulations altering assumptions regarding the dimensionality and distribution of member preferences and scale the resulting roll call matrices. Our simulations show that party polarization generates misleading evidence in favor of low dimensionality. This suggests that the increasing levels of party polarization in recent Congresses may have produced false evidence in favor of a low-dimensional policy space. However, we show that focusing more narrowly on each party caucus in isolation can help researchers discern the true dimensionality of the policy space in the context of significant party polarization. We re-examine the historical roll call record and find evidence suggesting that the low dimensionality of the contemporary Congress may reflect party polarization rather than changes in the dimensionality of policy conflict.

scholarly journals Anomalies in isothermal compressibility and exponent of pressure in spin-orbit-coupled degenerate Fermi gases

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Chenggong Liang ◽  
Yuexin Huang ◽  
Feihong Liu ◽  
Yunbo Zhang ◽  
Guangcan Guo ◽  
...  
Keyword(s):  
Isothermal Compressibility ◽  
Fermi Gases ◽  
Spin Orbit ◽  
Degenerate Fermi Gases
Sign in / Sign up

Export Citation Format

Share Document