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We develop the first comprehensive approach to model associating fluids with small bond angles using Wertheim's perturbation theory. We show theoretically and through monte carlo simulations that as bond angle is varied various modes of…

Soft Condensed Matter · Physics 2013-08-27 B. D. Marshall , W. G. Chapman

The path integral Monte Carlo method is used to simulate dilute trapped Bose gases and to investigate the equilibrium properties at finite temperatures. The quantum particles have a long-range dipole-dipole interaction and a short-range…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

Distance correlation is a new measure of dependence between random vectors. Distance covariance and distance correlation are analogous to product-moment covariance and correlation, but unlike the classical definition of correlation,…

Statistics Theory · Mathematics 2008-12-18 Gábor J. Székely , Maria L. Rizzo , Nail K. Bakirov

Peripheral one-tube model has shown to be a nice tool for dynamically understanding several aspects of ridge structures in long-range two-particle correlations, observed experimentally and obtained also in our model calculations using…

High Energy Physics - Phenomenology · Physics 2013-01-01 Yogiro Hama , Rone P. G. Andrade , Frederique Grassi , Jorge Noronha , Wei-Liang Qian

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We look at the new two-particle correlation function that can provide the space-time information about the source of two charged pions. This function clearly reflects the chaotic and incoherent nature of the particle emission source…

High Energy Physics - Phenomenology · Physics 2010-11-11 G. A. Kozlov

We consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the algebraic Bethe ansatz. In cases of strong interaction or/and large-volume systems, we obtain…

Mathematical Physics · Physics 2024-06-14 N. A. Slavnov

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

Most boson emitting sources contain a core of finite dimensions surrounded by a large halo, due to long-lived resonances like $\omega,\eta,\eta',K^{0}$ etc. When the Bose-Einstein correlation (BEC) function of the core can be determined we…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Lorstad

The two-pion correlation function can be defined as a ratio of either the measured momentum distributions or the normalized momentum space probabilities. We show that the first alternative avoids certain ambiguities since then the…

Nuclear Theory · Physics 2008-11-26 Q. H. Zhang , P. Scotto , U. Heinz

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

We theoretically study homogeneously trapped atomic Bose-Einstein condensates where all three momentum components couple to a pseudo-spin-$1/2$ degree of freedom. Tuning the anisotropies of spin-orbit coupling and the spin-dependent…

Quantum Gases · Physics 2015-11-04 Renyuan Liao , Oleksander Fialko , Joachim Brand , Ulrich Zulicke

We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or spin hyperfine states coupled by a two-photon transition via an intermediate level. Due to the macroscopic…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

Determining if two histograms are consistent, whether they have been drawn from the same underlying distribution or not, is a common problem in physics. Existing approaches are not only limited in power but also inapplicable to histograms…

Data Analysis, Statistics and Probability · Physics 2010-09-29 M. J. Betancourt

Using a fluid dynamical scenario for $pp$ scattering at 7 TeV, we compute correlation functions for $\pi^+\pi^+$ pairs. Femtoscopic radii are extracted based on three-dimensional parametrizations of the correlation functions. We study the…

High Energy Physics - Phenomenology · Physics 2011-04-18 K. Werner , K. Mikhailov , Iu. Karpenko , T. Pierog

Through the Bayesian lens of data assimilation, uncertainty on model parameters is traditionally quantified through the posterior covariance matrix. However, in modern settings involving high-dimensional and computationally expensive…

Computation · Statistics 2023-11-16 Michael Stanley , Mikael Kuusela , Brendan Byrne , Junjie Liu

When modeling the distribution of a multivariate continuous random vector using the so-called \emph{copula approach}, it is not uncommon to have ties in the coordinate samples of the available data because of rounding or lack of measurement…

Methodology · Statistics 2017-02-07 Ivan Kojadinovic

Pseudorapidity and azimuthal three-particle correlations are studied based on a correlated-cluster model of multiparticle production. The model provides a common framework for correlations in proton-proton and heavy-ion collisions allowing…

High Energy Physics - Phenomenology · Physics 2017-10-18 Miguel-Angel Sanchis-Lozano , Edward Sarkisyan-Grinbaum

We study the crossover of a finite one-dimensional (1D) bosonic ensemble from weak to strong interactions in harmonic traps and multi-well potentials. Although these systems are very common in experimental setups and have been studied…

Quantum Physics · Physics 2015-06-11 Ioannis Brouzos , Fotios K. Diakonos , Peter Schmelcher

AIMS. The maximum-likelihood method is the standard approach to obtain model fits to observational data and the corresponding confidence regions. We investigate possible sources of bias in the log-likelihood function and its subsequent…

Astrophysics · Physics 2009-11-11 J. Hartlap , P. Simon , P. Schneider