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We study the ground states of the pieces' model in the Fermi-Dirac statistics in the thermodynamic limit. In other words, we consider the minimizing configurations of $ n $ interacting fermions in an interval $ \Lambda $ divided into pieces…

数学物理 · 物理学 2023-03-29 Vadim Ognov

This paper reviews different numerical methods for specific examples of Wasserstein gradient flows: we focus on nonlinear Fokker-Planck equations,but also discuss discretizations of the parabolic-elliptic Keller-Segel model and of the…

数值分析 · 数学 2020-03-10 Jose A. Carrillo , Daniel Matthes , Marie-Therese Wolfram

We apply QCD-inspired techniques to study nonrelativistic N-component degenerate fermions with attractive interactions. By analyzing the singular-value spectrum of the fermion matrix in the Lagrangian, we derive several exact relations that…

量子气体 · 物理学 2016-04-12 Takuya Kanazawa , Arata Yamamoto

We consider the coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared…

高能物理 - 理论 · 物理学 2009-11-10 E. A. Asano , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. G. Rodrigues , A. J. da Silva

A variety of exotic non-fermi liquid (NFL) states have been observed in many condensed matter systems, with different scaling relations between transport coefficients and temperature. The "standard" approach to studying these NFLs is by…

强关联电子 · 物理学 2019-08-07 Xiao-Chuan Wu , Chao-Ming Jian , Cenke Xu

We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's…

偏微分方程分析 · 数学 2022-06-16 Apratim Bhattacharya , Markus Gahn , Maria Neuss-Radu

Given a sample from a discretely observed multidimensional compound Poisson process, we study the problem of nonparametric estimation of its jump size density $r_0$ and intensity $\lambda_0$. We take a nonparametric Bayesian approach to the…

统计理论 · 数学 2015-06-08 Shota Gugushvili , Frank van der Meulen , Peter Spreij

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

核理论 · 物理学 2018-02-16 Stefan Typel , David Blaschke

We compare theoretical predictions with observations for a class of cosmological models in which the dark energy component is modeled as a fermionic condensate, non-minimally coupled with the gravitational field and characterized by some…

宇宙学与河外天体物理 · 物理学 2019-09-11 S. Carloni , R. Cianci , P. Feola , E. Piedipalumbo , S. Vignolo

We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles…

数学物理 · 物理学 2017-06-29 Thomas Moser , Robert Seiringer

Some theorems on derivatives of the Coulomb density functional with respect to the coupling constant $\lambda$ are given. Consider an electron density $n_{GS}({\bf r})$ given by a ground state. A model Fermion system with the reduced…

统计力学 · 物理学 2015-05-20 Koichi Kusakabe , Isao Maruyama

The space-averaged phase-space density and entropy per particle are both fundamental observables which can be extracted from the two-particle correlation functions measured in heavy-ion collisions. Two techniques have been proposed to…

核理论 · 物理学 2009-11-06 David A. Brown , Sergei Y. Panitkin , George F. Bertsch

We present the first results of a quantum field approach to nuclear models obtained by lattice techniques. Renormalization effects for fermion mass and coupling constant in case of scalar and pseudoscalar interaction lagrangian densities…

高能物理 - 格点 · 物理学 2010-03-19 F. De Soto , J. Carbonell , C. Roiesnel , Ph. Boucaud , J. P. Leroy , O. Pene

Starting with the average particle distribution function for bosons and fermions for non-extensive thermodynamics , as proposed in \cite{CMP}, we obtain the corresponding density matrix operators and hamiltonians. In particular, for the…

统计力学 · 物理学 2018-09-26 Marcelo R. Ubriaco

We develop a pairing mean-field theory to describe the quantum dynamics of the dissociation of molecular Bose-Einstein condensates into their constituent bosonic or fermionic atoms. We apply the theory to one, two, and three-dimensional…

其他凝聚态物理 · 物理学 2010-11-09 M. J. Davis , S. J. Thwaite , M. K. Olsen , K. V. Kheruntsyan

Spatially extended stationary and traveling states in the strongly nonlinear regime of convection in layers of binary fluid mixtures heated from below are described by a few-mode-model. It is derived from the proper hydrodynamic balance…

patt-sol · 物理学 2009-10-30 St. Hollinger , M. Luecke

We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a fermionic observable and compute its scaling limit by discrete…

数学物理 · 物理学 2011-07-07 Clément Hongler , Stanislav Smirnov

In this paper we discuss the nonergodic behavior for a class of long-standing quasi-stationary states in a paradigmatic model of long-range interacting systems, i.e. the HMF model. We show that ensemble averages and time averages for…

统计力学 · 物理学 2009-11-13 Alessandro Pluchino , Andrea Rapisarda

We present a new approach to build models of quintessence interacting with dark or baryonic matter. We use a variational approach for relativistic fluids to realize an effective description of matter fields at the Lagrangian level. The…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Christian G. Boehmer , Nicola Tamanini , Matthew Wright

We introduce an individual-based model for fiber elements having the ability to cross-link or unlink each other and to align with each other at the cross links. We first formally derive a kinetic model for the fiber and cross-links…

数学物理 · 物理学 2015-05-20 Pierre Degond , Fanny Delebecque , Diane Peurichard