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We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

Soft Condensed Matter · Physics 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

We study the problem of the phonon-induced electron-electron interaction in a solid. Starting with a Hamiltonian that contains an electron-phonon interaction, we perform a similarity renormalization transformation to calculate an effective…

Superconductivity · Physics 2009-10-28 Andreas Mielke

The size effect in the gas of impuritons of the superfluid mixtures of helium isotopes is investigated by taking into consideration the contribution of thermal excitations. The solution is obtained for the set of kinetic equations…

Condensed Matter · Physics 2007-05-23 A. I. Chervanyov

The complex behavior of liquid ${}^4$He and liquid ${}^3$He in nanoporous media is determined by influence of randomly distributed geometrical confinement as well as by significant contribution from the atoms near walls. In the present…

Other Condensed Matter · Physics 2015-05-30 D. A. Tayurskii , Yu. V. Lysogorskiy

Heat conduction by phonons is a ubiquitous process that incorporates a wide range of physics and plays an essential role in applications ranging from space power generation to LED lighting. Heat conduction has been studied for over two…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 Austin J. Minnich

A new analogy between superfluid systems and cosmology is here presented, which relies strongly on the following ingredient: the back-reaction of the vacuum to the quanta of sound waves. We show how the presence of thermal phonons, the…

Other Condensed Matter · Physics 2013-01-17 A. Naddeo , G. Scelza

A decomposition of the energy and helicity fluxes in a turbulent hydrodynamic flow is proposed. The decomposition is based on the projection of the flow to a helical basis that allows to investigate separately the role of interactions among…

Fluid Dynamics · Physics 2017-03-08 Alexandros Alexakis

In the present paper we compare the theory of mixtures based on Rational Thermomechanics with the one obtained by Hamilton principle. We prove that the two theories coincide in the adiabatic case when the action is constructed with the…

Classical Physics · Physics 2008-12-18 Henri Gouin , Tommaso Ruggeri

We develop the theory of hydrodynamics of an isotropic Fermi liquid of electrons coupled to isotropic acoustic phonons, assuming that umklapp processes may be neglected. At low temperatures, the fluid is approximately Galilean invariant; at…

Strongly Correlated Electrons · Physics 2021-07-15 Xiaoyang Huang , Andrew Lucas

We present a novel density functional for liquid 4He, properly accounting for the static response function and the phonon-roton dispersion in the uniform liquid. The functional is used to study both structural and dynamical properties of…

Condensed Matter · Physics 2009-10-22 F. Dalfovo , A. Lastri , L. Pricaupenko , S. Stringari , J. Treiner

In this paper we express the linearized dynamics of interacting interfacial waves in stratified shear flows in the compact form of action-angle Hamilton equations. The pseudo-energy serves as the Hamiltonian of the system, the action…

Fluid Dynamics · Physics 2018-02-14 Eyal Heifetz , Anirban Guha

We derive an effective d-dimensional Hamiltonian for a system of hard-core-bosons coupled to optical phonons in a lattice. Away from half-filling, we show that the presence of next-nearest-neighbor hopping in the effective Hamiltonian leads…

Strongly Correlated Electrons · Physics 2008-12-11 Sanjoy Datta , Sudhakar Yarlagadda

We consider the hydrodynamics of supersymmetric fluids. Supersymmetry is broken spontaneously and the low energy spectrum includes a fermionic massless mode, the $\mathit{phonino}$. We use two complementary approaches to describe the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Carlos Hoyos , Boaz Keren-Zur , Yaron Oz

The theory of the interaction of electrons with acoustic phonons in multilayer nitride-based AlN/GaN nanostructures was developed for the first time at $T\geqslant 0$ using the method of finite-temperature Green's functions and Dyson…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 I. V. Boyko , M. R. Petryk

A condensate of pairs in an isolated, homogeneous, unpolarised, finite-size spin 1/2 Fermi gas at low nonzero temperature T, undergoes with time a phase change with a random component, due to coupling to the gas thermal phonons. With the…

Quantum Gases · Physics 2019-03-12 Yvan Castin

We review the concept of superfluidity and, based on real and thought experiments, we use the formalism of second quantization to derive expressions that allow the calculation of the superfluid density for general Hamiltonians with…

Statistical Mechanics · Physics 2014-10-03 V. G. Rousseau

We provide an overview of the recent theoretical and experimental advances in the study of second sound in ultracold atomic gases. Starting from the Landau two fluid hydrodynamic equations we develop the theory of first and second sound in…

Quantum Gases · Physics 2015-10-06 Lev P. Pitaevskii , Sandro Stringari

Hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls are studied under creeping-flow conditions. The many-particle friction matrix in this system is evaluated using our novel numerical…

Fluid Dynamics · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

In phases where translations are spontaneously broken, new gapless degrees of freedom appear in the low energy spectrum (the phonons). At long wavelengths, they couple to small fluctuations of the conserved densities of the system. This…

High Energy Physics - Theory · Physics 2020-01-08 Andrea Amoretti , Daniel Areán , Blaise Goutéraux , Daniele Musso