The pseudo specific heat in SU(2) gauge theory: finite size dependence and finite temperature effects

AbstractWe study the equilibrium properties of self-bound droplets in two-dimensional Bose mixtures employing the time-dependent Hartree–Fock–Bogoliubov theory. This theory allows one to understand both the many-body and temperature effects beyond the Lee–Huang–Yang description. We calculate higher-order corrections to the excitations, the sound velocity, and the energy of the droplet. Our results for the ground-state energy are compared with the diffusion Monte Carlo data and good agreement is found. The behavior of the depletion and anomalous density of the droplet is also discussed. At finite temperature, we show that the droplet emerges at temperatures well below the Berezinskii–Kosterlitz–Thouless transition temperature. The critical temperature strongly depends on the interspecies interactions. Our study is extended to the finite size droplet by numerically solving the generalized finite-temperature Gross-Pitaevskii equation which is obtained self-consistently from our formalism in the framework of the local density approximation.

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Finite-size scaling and bulk critical behavior of a quantum spherical model with a long-range interaction: entropy, internal energy and specific heat

Journal of Physics Conference Series ◽

10.1088/1742-6596/1762/1/012016 ◽

2021 ◽

Vol 1762 (1) ◽

pp. 012016

Author(s):

N P Nedev ◽

E S Pisanova

Keyword(s):

Specific Heat ◽

Internal Energy ◽

Long Range ◽

Critical Behavior ◽

Finite Size ◽

Spherical Model ◽

Finite Size Scaling ◽

Range Interaction ◽

Size Scaling ◽

Long Range Interaction

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THE SPECIFIC HEAT OF A FERMI GAS AT LOW TEMPERATURE: A CLOSER LOOK AT THE lnT BEHAVIOR

International Journal of Modern Physics B ◽

10.1142/s0217979299003064 ◽

1999 ◽

Vol 13 (28) ◽

pp. 3357-3367 ◽

Cited By ~ 2

Author(s):

A. REBEI ◽

W. N. G. HITCHON

Keyword(s):

Low Temperature ◽

Specific Heat ◽

Finite Temperature ◽

Thermodynamic Potential ◽

Fermi Gas ◽

Zero Temperature

At finite temperature, a Fermi gas can have states that simultaneously hold a particle and a hole with a finite probability. This gives rise to a new set of diagrams that are absent at zero temperature. The so called "anomalous" diagram is just one of the new diagrams. We have already studied the contribution of these new diagrams to the thermodynamic potential (Phys. Lett.A224, 127 (1996)). Here we continue that work and calculate their effect on the specific heat. We will also calculate the finite temperature contribution of the ring diagrams. We conclude that the ln T behavior of the specific heat due to exchange gets canceled by the new contribution of the new diagrams, and that screening is not essential to resolve this anomaly.

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