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The pair correlation function (PCF) has proven an effective tool for analyzing many physical systems due to its simplicity and its applicability to simulated and experimental data. However, as an averaged quantity, the PCF can fail to…

Disordered Systems and Neural Networks · Physics 2023-12-14 Vasco M. Worlitzer , Gil Ariel , Emanuel A. Lazar

We examine metastable configurations of a two-dimensional system of interacting particles on a quenched random potential landscape and ask how the configurational pair correlation function is related to the particle interactions and the…

Superconductivity · Physics 2016-08-31 Muhittin Mungan , Chorng-Haur Sow , Susan N. Coppersmith , David G. Grier

Particle filters are a powerful and flexible tool for performing inference on state-space models. They involve a collection of samples evolving over time through a combination of sampling and re-sampling steps. The re-sampling step is…

Computation · Statistics 2017-03-17 Deborshee Sen , Alexandre Thiery , Ajay Jasra

A method for calculating pair correlation functions in a crystal is developed. The method is based on separating the one- and two- particle correlation functions into the symmetry conserving and the symmetry broken parts. The conserving…

Soft Condensed Matter · Physics 2015-06-19 Anubha Jaiswal , Atul S. Bharadwaj , Yashwant Singh

The Particle Number Projected Generator Coordinate Method is formulated for the pairing Hamiltonian in a detailed way in the projection after variation and the variation after projection methods. The dependence of the wave functions on the…

Superconductivity · Physics 2009-11-11 M. A. Fernandez , J. L. Egido

Pairing gaps in neutron matter need to be computed in a wide range of densities to address open questions in neutron star phenomenology. Traditionally, the Bardeen-Cooper-Schrieffer approach has been used to compute gaps from bare…

Nuclear Theory · Physics 2016-08-23 D. Ding , A. Rios , H. Dussan , W. H. Dickhoff , S. J. Witte , A. Carbone , A. Polls

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for Quark-Gluon Plasma (QGP) and the QCD…

Nuclear Theory · Physics 2023-01-09 Mary Cody , Sean Gavin , Brendan Koch , Mark Kocherovsky , Zoulfekar Mazloum , George Moschelli

Environments with immobile obstacles or void regions that inhibit and alter the motion of individuals within that environment are ubiquitous. Correlation in the location of individuals within such environments arises as a combination of the…

Statistics Theory · Mathematics 2019-03-27 Stuart T. Johnston , Edmund J. Crampin

Pair densities and associated correlation functions provide a critical tool for introducing many-body correlations into a wide-range of effective theories. Ab initio calculations show that two-nucleon pair-densities exhibit strong spin and…

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

The study of particle correlations is an important instrument to understand the nature of relativistic heavy ion collisions. Using a wealth of new data available from the recent heavy ion runs of Large Hadron Collider at CERN it becomes…

Nuclear Experiment · Physics 2019-08-12 Alexander Milov

Multi-particle correlation techniques are frequently used to study jet shapes and yields in hadronic and nuclear collisions. To date, a standard assumption applied in such analyses is that the observed correlations arise from either jets…

Nuclear Experiment · Physics 2010-04-06 Anne Sickles , Michael P. McCumber , Andrew Adare

We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number of identical "daughter" particles. We consider generically…

Statistical Mechanics · Physics 2009-11-13 Andrea Gabrielli , Michael Joyce

The investigation of the pair correlation statistics of sequences was initially motivated by questions concerning quasi-energy-spectra of quantum systems. However, the subject has been developed far beyond its roots in mathematical physics,…

Number Theory · Mathematics 2018-02-27 Ida Aichinger , Christoph Aistleitner , Gerhard Larcher

In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

Materials Science · Physics 2020-04-15 Igor Ying Zhang , Andreas Grüneis

Particle filters provide Monte Carlo approximations of intractable quantities such as point-wise evaluations of the likelihood in state space models. In many scenarios, the interest lies in the comparison of these quantities as some…

Methodology · Statistics 2016-07-19 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön

In this work, we study the two-particle correlations regarding a peripheral tube model. From our perspective, the main characteristics of the observed two-particle correlations are attributed to the multiplicity fluctuations and the locally…

Nuclear Theory · Physics 2019-03-27 Dan Wen , Wagner M. Castilho , Kai Lin , Wei-Liang Qian , Yogiro Hama , Takeshi Kodama

Two-particle correlation measurements and analysis are an important component of the relativistic heavy-ion physics program. In particular, particle pair-number correlations on two-dimensional transverse momentum ($p_t$) allow unique access…

Nuclear Experiment · Physics 2017-01-04 Robert L. Ray , Prabhat Bhattarai

Knowledge of the binary population in stellar groupings provides important information about the outcome of the star forming process in different environments. Binarity is also a key ingredient in stellar population studies and is a…

Nuclear pairing correlations are known to play an important role in various single-particle and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson and D. Pines on similarity of nuclear pairing to electron…

Nuclear Theory · Physics 2009-11-10 Vladimir Zelevinsky , Alexander Volya
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