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Thermodynamics of degenerate Fermi gases has been extensively studied through various aspects such as Pauli blocking effects, collective modes, BCS superfluidity, and more. Despite this, multi-component fermions with imbalanced spin…

For a freely evolving granular fluid, the buildup of spatial correlations in density and flow field is described using fluctuating hydrodynamics. The theory for incompressible flows is extended to the general, compressible case, including…

Statistical Mechanics · Physics 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito

Most theoretical treatments of inhomogeneous superconductivity/fermionic superfluidity have been based on the Bogoliubov-deGennes equations (or, else, on their various simplified forms), which implement a standard mean-field decoupling in…

Superconductivity · Physics 2024-03-25 Leonardo Pisani , Verdiana Piselli , Giancarlo Calvanese Strinati

We develop a general theory of spin-dependent density-density correlations, that is valid for any temperature, interactions, dimensions and mass or population status of Fermi gases with two internal states. We use gauge invariance and the…

Quantum Gases · Physics 2026-02-27 Nikolai Kaschewski , Axel Pelster , Carlos A. R. Sá de Melo

Superconducting transitions are driven by thermal fluctuations close to the transition temperature, Tc. These fluctuations are averaged out in global measurements, leaving imprints on susceptibility and resistance measurements. Here, we use…

Superconductivity · Physics 2018-06-29 Shai Wissberg , Aviad Frydman , Beena Kalisky

We compute the equation of state, the gap as well as the density fluctuations of a two-component superfluid Fermi gas over the whole range of BEC-BCS crossover at vanishing temperature within the functional renormalisation group approach.…

Quantum Gases · Physics 2023-07-28 Bruno M. Faigle-Cedzich , Jan M. Pawlowski , Christof Wetterich

We present an implementation of time-dependent density functional perturbation theory for spin fluctuations, based on planewaves and pseudopotentials. We compute the dynamic spin susceptibility self-consistently by solving the…

Materials Science · Physics 2018-01-24 Kun Cao , Henry Lambert , Paolo G. Radaelli , Feliciano Giustino

Small superconducting grains are discussed in the frameworks of both the reduced BCS Hamiltonian and the Universal Hamiltonian. It is shown that fluctuations of electrons in levels far from the Fermi energy dominate superconducting…

Mesoscale and Nanoscale Physics · Physics 2008-06-12 Moshe Schechter

We evaluate the frequencies of scissors modes for density and concentration fluctuations in a vapour of fermionic atoms placed in two hyperfine levels inside a spherical harmonic trap. Both the superfluid and the normal state are…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Mario P. Tosi

We generalized the Fermi liquid theory to N component systems with SU(N) symmetry. We emphasize the important role of fluctuations when N is large. These fluctuations dramatically modifies the properties for repulsive Fermi gases, in…

Quantum Gases · Physics 2015-06-18 S. -K. Yip , Bor-Luen Huang , Jung-Shen Kao

Microscopic formula to describe the entropy of biomolecular solutions are derived based on the Gibbs formula of entropy, and the generalized Langevin theory combined with the RISM/3D-RISM theory. Two formula are derived: one is concerned…

Statistical Mechanics · Physics 2023-03-02 Fumio Hirata

When fluids are confined in nanopores, many of their properties deviate from bulk. These include bulk modulus, or compressibility, which determines the mechanical properties of fluid-saturated porous solids. Such properties are of…

Soft Condensed Matter · Physics 2025-07-10 Jason Ogbebor , Santiago A. Flores Roman , Geordy Jomon , Gennady Y. Gor

Measurements of local density fluctuations are crucial to characterizing the interfacial properties of equilibrium fluids. A specific case that has been well-explored involves the heightened compressibility of water near hydrophobic…

Soft Condensed Matter · Physics 2024-02-09 Nigel B. Wilding , Robert Evans , Francesco Turci

We study the renormalization of the Fermi-liquid parameters in the vicinity of a density wave quantum phase transition, which should occur in MOSFET systems at low densities. First, using a perturbative RPA treatment of fluctuations, we…

Strongly Correlated Electrons · Physics 2008-01-14 Victor Galitski , V. A. Khodel

Taking into account the transverse gauge field fluctuations, which interact with composite fermions, we examine the finite temperature compressibility of the fermions as a function of an effective magnetic field $\Delta B = B - 2 n_e hc/e$…

Condensed Matter · Physics 2009-10-22 Yong Baek Kim , Patrick A. Lee , Xiao-Gang Wen , P. C. E. Stamp

Motivated by recent experiments reporting superconductivity only at very low temperature in a class of heavy fermion compounds, we study the impact of energy fluctuations with small momentum transfer on the pairing instability near an…

Superconductivity · Physics 2018-12-31 Jian Kang , Rafael M. Fernandes , Elihu Abrahams , Peter Wölfle

We present a theoretical study of the compressibility, $\kappa$, in a Fermi gas with attractive contact interactions, providing predictions for the strongly-attractive regime and the superfluid phase. Our work emphasizes the compressibility…

Quantum Gases · Physics 2015-06-16 Hao Guo , Yan He , Chih-Chun Chien , K. Levin

We develop a method to extract the dissipation for a heavy moving impurity immersed in superfluid Fermi gases. The drag force is derived analytically. As a reward, we are able to extract the dynamical structure factor, from which density…

Quantum Gases · Physics 2019-09-17 Dong-Chen Zheng , Yan-Qiang Yu , Renyuan Liao

We analyze the phase diagram of uniform superfluidity for two-species fermion mixtures from the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) limit as a function of the scattering parameter and population imbalance. We…

Superconductivity · Physics 2009-11-11 M. Iskin , C. A. R. Sa de Melo

The isothermal compressibility of an interacting or non interacting system may be extracted from the fluctuations of the number of particles in a well chosen control volume. Finite size effects are prevalent and should then be accounted for…

Statistical Mechanics · Physics 2015-06-18 Dario Villamaina , Emmanuel Trizac