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From the microscopic theory, we derive a number conserving quantum kinetic equation, valid for a dilute Bose gas at any temperature, in which the binary collisions between the quasi-particles are mediated by phonon-like excitations (called…

Statistical Mechanics · Physics 2007-05-23 Patrick Navez

Condensates of active particles such as cells form almost-crystalline lattices which play a central role in many biological systems. Typically, their properties have been determined merely by analogy to the rather trivial one-dimensional…

Soft Condensed Matter · Physics 2025-12-02 Connor Roberts , Gunnar Pruessner

In this work we study the quantum Toda lattice, developing the asymptotic Bethe ansatz method first used by Sutherland. Despite its known limitations we find, on comparing with Gutzwiller's exact method, that it works well in this…

Statistical Mechanics · Physics 2008-02-03 Rahul Siddharthan , B. Sriram Shastry

A computational strategy for the evaluation of the crystal lattice constants and cohesive energy of the weakly bound molecular solids is proposed. The strategy is based on the high level ab initio coupled-cluster determination of the…

Soft Condensed Matter · Physics 2013-02-22 O. Bludsky , M. Rubes , P. Soldan

The theory of Monotone Comparative Statics (MCS) has traditionally required a lattice structure, excluding certain multidimensional environments such as mixed-strategy games where this property fails. We show that this structure is not…

Theoretical Economics · Economics 2026-03-06 Yeon-Koo Che , Jinwoo Kim , Fuhito Kojima

We propose a new second-order accurate lattice Boltzmann scheme that solves the quasi-static equations of linear elasticity in two dimensions. In contrast to previous works, our formulation solves for a single distribution function with a…

Numerical Analysis · Mathematics 2022-12-14 Oliver Boolakee , Martin Geier , Laura De Lorenzis

We systematically derived hydrodynamic equations and transport coefficients for a class of multi-speed lattice Boltzmann models in D dimensions, using the multi-scale technique. The constitutive relation of physical fluid is recovered by a…

comp-gas · Physics 2008-02-03 Yu Chen , Hirotada Ohashi , Mamoru Akiyama

Lattice Boltzmann method (LBM) simulations of incompressible flows are nowadays common and well-established. However, for compressible turbulent flows with strong variable density and intrinsic compressibility effects, results are…

Fluid Dynamics · Physics 2024-12-13 Philipp Spelten , Dominik Wilde , Mario Christopher Bedrunka , Dirk Reith , Holger Foysi

A new method based on the concept of probability distribution is proposed to analyze the finite volume energy spectrum in lattice QCD. Using synthetic lattice data, we demonstrate that for the channel with quantum numbers of the…

High Energy Physics - Lattice · Physics 2012-06-13 Veronique Bernard , Michael Lage , Ulf-G. Meißner , Akaki Rusetsky

We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows. This HLBM is an extension of the model of Feng et al: [12], which has been found, via different test cases, to…

Fluid Dynamics · Physics 2020-11-05 Florian Renard , Yongliang Feng , Jean-François Boussuge , Pierre Sagaut

We present a detailed study of the charmonium spectrum using anisotropic lattice QCD. We first derive a tree-level improved clover quark action on the anisotropic lattice for arbitrary quark mass. The heavy quark mass dependences of the…

We present a polar coordinate lattice Boltzmann kinetic model for compressible flows. A method to recover the continuum distribution function from the discrete distribution function is indicated. Within the model, a hybrid scheme being…

Soft Condensed Matter · Physics 2018-03-09 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

Optimization and Control · Mathematics 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

During the last years, the ALPHA collaboration has been developing and implementing a method based on Heavy Quark Effective Theory (HQET) to compute B-mesons observables through lattice simulations. Thanks to a non-perturbative matching to…

High Energy Physics - Lattice · Physics 2015-03-18 Nicolas Garron

A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport…

Soft Condensed Matter · Physics 2015-05-13 R. Benzi , M. Sbragaglia , S. Succi , M. Bernaschi , S. Chibbaro

The lattice Boltzmann method (LBM) has gained increasing popularity in incompressible viscous flow simulations, but it uses many more variables than necessary. This defect was overcome by a recent approach that solves the more actual…

Fluid Dynamics · Physics 2021-06-02 Jun-Jie Huang

Effects of strong phonon anharmonicity of a type-I clathrate Ba$_{\rm 8}$Ga$_{\rm 16}$Sn$_{\rm 30}$ induced by quadruple-well potential of guest atoms were investigated. Phonon transport including coherent interbranch component was analyzed…

Materials Science · Physics 2025-05-01 Masato Ohnishi , Terumasa Tadano , Shinji Tsuneyuki , Junichiro Shiomi

Localized basis ab initio molecular dynamics simulation within the density functional framework has been used to generate realistic configurations of amorphous silicon carbide (a-SiC). Our approach consists of constructing a set of smart…

Disordered Systems and Neural Networks · Physics 2015-05-13 Raymond Atta-Fynn , Parthapratim Biswas

This article presents novel results concerning the recovery of signals from undersampled data in the common situation where such signals are not sparse in an orthonormal basis or incoherent dictionary, but in a truly redundant dictionary.…

Numerical Analysis · Mathematics 2015-03-17 Emmanuel J. Candes , Yonina C. Eldar , Deanna Needell , Paige Randall