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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…

量子气体 · 物理学 2015-06-16 Hao Guo , Yan He , Chih-Chun Chien , K. Levin

Suppose $\kappa$ is a singular strong limit cardinal of countable cofinality and let $\langle \kappa_{n}: n<\omega \rangle$ be an incrasing sequence of regular cardinals cofinal in $\kappa$. We show that if $cf(2^\kappa)= \kappa^+$, then…

逻辑 · 数学 2021-07-12 Mohammad Golshani , Rahman Mohammadpour

Bending rigidities of tensionless balanced liquid-liquid interfaces as occurring in microemulsions are predicted using self-consistent field theory for molecularly inhomogeneous systems. Considering geometries with scale invariant curvature…

软凝聚态物质 · 物理学 2018-10-05 Ramanathan Varadharajan , Frans. A. M. Leermakers

The RP(2) gauge model is studied in 2D. We use Monte-Carlo renormalization techniques for blocking the mean spin-spin interaction, <A>, and the mean gauge field plaquette, <P>. The presence of the O(3) renormalized trajectory is verified…

高能物理 - 格点 · 物理学 2009-10-31 S. M. Catterall , M. Hasenbusch , R. R. Horgan , R. L. Renken

Recent results on causality in noncommutative space-time are reviewed. We study, in particular, quantum causal structures in 1+1 dimensional kappa Minkowski space-time. This later is described by a twisted Lorentzian Spectral Triple build…

高能物理 - 理论 · 物理学 2025-04-01 Valentine Maris

The Karman constant \kappa - widely used in atmospheric science and engineering turbulence modelling, and proposed by Prandtl in 1925 and von Karman in 1930 to describe the mean velocity of a turbulent wall-bounded flow - leads to a…

流体动力学 · 物理学 2012-01-04 Zhen-Su She , Xi Chen , You Wu , Fazle Hussain

In the negative perceptron problem we are given $n$ data points $({\boldsymbol x}_i,y_i)$, where ${\boldsymbol x}_i$ is a $d$-dimensional vector and $y_i\in\{+1,-1\}$ is a binary label. The data are not linearly separable and hence we…

机器学习 · 计算机科学 2025-03-25 Andrea Montanari , Yiqiao Zhong , Kangjie Zhou

The ultralow thermal conductivity $\kappa$ observed experimentally in intentionally roughened silicon nanowires (SiNWs) is reproduced in phonon Monte Carlo simulations with exponentially correlated real-space rough surfaces similar to…

介观与纳米尺度物理 · 物理学 2015-06-09 L. N. Maurer , Z. Aksamija , E. B. Ramayya , A. H. Davoody , I. Knezevic

Size, morphology and distributions of pores in organic matters of shale matrix are discussed based on high resolution images from experiments in the literature. 150 nanoscale structures of the organic matters are then reconstructed by…

流体动力学 · 物理学 2014-10-09 Li Chen , Qinjun Kang , Lei Zhang , Wenquan Tao

We perform numerical scattering experiments on a Lorentz array of disks centered on a triangular lattice with L columns and study its transmission and reflection properties. In the finite horizon case, the motion of the particles may be…

Consider an infinite graph with nodes initially labeled by independent Bernoulli random variables of parameter p. We address the density classification problem, that is, we want to design a (probabilistic or deterministic) cellular…

概率论 · 数学 2011-11-22 Ana Busic , Nazim Fates , Jean Mairesse , Irene Marcovici

Let $\kappa$ be an uncountable cardinal such that $2^{<\kappa} = \kappa$ or just ${\rm cf}(\kappa) > \omega$, $2^{2^{<\kappa}}= 2^\kappa$, and $([\kappa]^\kappa, \supseteq)$ collapses $2^\kappa$ to $\omega$. We show under these assumptions…

逻辑 · 数学 2019-03-06 Heike Mildenberger , Saharon Shelah

Suppose that kappa is a singular cardinal of cofinality omega and GCH holds. Assume that for every n<omega the set of alphas with o(alpha)>= alpha^{+n} is unbounded in kappa.Then there is a cardinal preserving extension satisfying…

逻辑 · 数学 2016-09-06 Moti Gitik

We show, assuming the consistency of one measurable cardinal, that it is consistent for there to be exactly kappa+ many normal measures on the least measurable cardinal kappa. This answers a question of Stewart Baldwin. The methods…

逻辑 · 数学 2007-05-23 Arthur W. Apter , James Cummings , Joel David Hamkins

We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve, $\kappa\in(0,8)$, comes within specified radii of $n$ different points in the unit disc. Using this estimate, we then prove a similar upper bound for a…

概率论 · 数学 2017-12-18 Benjamin Mackey , Dapeng Zhan

The current paper answers an open question of abs/1007.2426 We say that a countable model M characterizes an infinite cardinal kappa, if the Scott sentence of M has a model in cardinality kappa, but no models in cardinality kappa plus. If M…

逻辑 · 数学 2012-05-07 Ioannis Souldatos

We introduce a new compactness principle which we call the gluing property. For a measurable cardinal $\kappa$ and a cardinal $\lambda$, we say that $\kappa$ has the $\lambda$-gluing property if every sequence of $\lambda$-many…

逻辑 · 数学 2026-03-27 Yair Hayut , Alejandro Poveda

We prove that for almost every Brownian motion sample, the corresponding SLE(\kappa) curves parameterized by capacity exist and change continuously in the supremum norm when \kappa varies in the interval [0,\kappa_0), where…

概率论 · 数学 2012-06-12 Fredrik Johansson Viklund , Steffen Rohde , Carto Wong

The $\kappa$-topologies on the spaces $\mathscr{D}_{L^p}$, $L^p$ and $\mathscr{M}^1$ are defined by a neighbourhood basis consisting of polars of absolutely convex and compact subsets of their (pre-)dual spaces. In many cases it is more…

泛函分析 · 数学 2020-10-09 Christian Bargetz , Eduard A. Nigsch , Norbert Ortner

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

统计力学 · 物理学 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch