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Related papers: Grand Canonical Model Predictions For Nuclear Frag…

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We study the phenomenon of real space condensation in the steady state of a class of mass transport models where the steady state factorises. The grand canonical ensemble may be used to derive the criterion for the occurrence of a…

Statistical Mechanics · Physics 2007-05-23 M. R. Evans , Satya N. Majumdar , R. K. P. Zia

According to Jae Suk Park, physicists use "canonical coordinate systems" to compute correlations in perturbative quantum field theories. One may interpret these canonical coordinate systems as equivalences of generalized differential Lie…

Algebraic Topology · Mathematics 2014-07-04 Nissim Ranade , Dennis Sullivan

This paper introduces a grand canonical mixture model to generalize the nonideal Rayleigh gas [5] to an asymptotically infinite amount of perturbed tagged particles. This model relies precisely on grand canonical tags, to preserve symmetry…

Analysis of PDEs · Mathematics 2026-05-20 Florent Fougères

Nuclear multifragmentation process can be viewed as a recombination of nucleons into clusters of various sizes. In a combinatorial analysis, various moments of cluster size distribution appear to be quite simple in terms of canonical…

Nuclear Theory · Physics 2007-05-23 Suk-Joon Lee

Modern neural networks do not always produce well-calibrated predictions, even when trained with a proper scoring function such as cross-entropy. In classification settings, simple methods such as isotonic regression or temperature scaling…

Machine Learning · Computer Science 2021-03-26 Steven Reich , David Mueller , Nicholas Andrews

A brief overview of Grand Unified Models is presented with some attention paid to their predictions for neutrino oscillations. Given the well-known features of the two non-unified standard models, SM and MSSM, a listing of the features of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carl H. Albright

We consider a classical system of $N$ particles confined in a box $\Lambda\subset\mathbb{R}^d$ interacting via a finite range pair potential. Given the validity of the cluster expansion in the canonical ensemble we compute the error between…

Mathematical Physics · Physics 2015-06-11 Elena Pulvirenti , Dimitrios Tsagkarogiannis

We formulate the kinetic master equation describing the production of charged particles which are created or destroyed only in pairs due to the conservation of their Abelian charge.Our equation applies to arbitrary particle multiplicities…

Nuclear Theory · Physics 2009-11-06 C. M. Ko , V. Koch , Zi-wei Lin , K. Redlich , M. Stephanov , Xin-Nian Wang

Zero- and two-dimensional crystal defects form in open statistical ensembles, such as the grand canonical, that are usually inaccessible with conventional simulation techniques. This longstanding challenge is overcome with a new Hamiltonian…

Materials Science · Physics 2026-01-16 Flynn Walsh , Babak Sadigh , Joseph T. McKeown , Timofey Frolov

We obtain a canonical representation for block matrices. The representation facilitates simple computation of the determinant, the matrix inverse, and other powers of a block matrix, as well as the matrix logarithm and the matrix…

Econometrics · Economics 2021-11-16 Ilya Archakov , Peter Reinhard Hansen

The multiplicity distributions of hadrons produced in central nucleus-nucleus collisions are studied within the hadron-resonance gas model in the large volume limit. The microscopic correlator method is used to enforce conservation of three…

Nuclear Theory · Physics 2008-11-26 V. V. Begun , M. Gazdzicki , M. I. Gorenstein , M. Hauer , V. P. Konchakovski , B. Lungwitz

In this work, we consider the performance of using a quantum algorithm to predict a result for a binary classification problem if a machine learning model is an ensemble from any simple classifiers. Such an approach is faster than classical…

Quantum Physics · Physics 2021-12-28 Kamil Khadiev , Liliia Safina

We introduce hybrid classical-quantum algorithms for problems involving a large classical data set X and a space of models Y such that a quantum computer has superposition access to Y but not X. These algorithms use data reduction…

Quantum Physics · Physics 2020-04-07 Aram W. Harrow

Typically, in order to obtain finite-size scaling laws for quantities in the microcanonical ensemble, an assumption is taken as a starting point. In this paper, consistency of such a Microcanonical Finite-Size Scaling Assumption with its…

Statistical Mechanics · Physics 2007-05-23 M. Kastner , M. Promberger

We investigate the possibility to extract the symmetry energy from multifragmentation data. The applicability of the grandcanonical formula earlier proposed by Ono {\it et al.} [Phys. Rev. C {\bf 68}, 051601(R)] in the case of finite…

Nuclear Theory · Physics 2008-11-26 Ad. R. Raduta , F. Gulminelli

A predictive Bayesian model selection approach is presented to discriminate coupled models used to predict an unobserved quantity of interest (QoI). The need for accurate predictions arises in a variety of critical applications such as…

Applications · Statistics 2011-07-06 Gabriel Terejanu , Todd Oliver , Chris Simmons

A contribution is presented to the application of fractal properties and log-periodic corrections to the masses of several nuclei (isotopes or isotones), and to the energy levels of some nuclei. The fractal parameters $\alpha$ and $\lambda$…

General Physics · Physics 2011-07-12 Boris Tatischeff

The kinematical characteristics of fragments and light particles observed in central highly fragmented nuclear collisions at intermediate energies are compared with the results of a model assuming that the initial momentum distribution of…

Nuclear Experiment · Physics 2007-05-23 A. Van Lauwe , D. Durand et al

I discuss how global QCD fits of parton distribution functions can make the somewhat separated fields of high-energy particle physics and lower energy hadronic and nuclear physics interact to the benefit of both. I review specific examples…

High Energy Physics - Phenomenology · Physics 2015-06-16 Alberto Accardi

Calibrated probabilistic classifiers are models whose predicted probabilities can directly be interpreted as uncertainty estimates. It has been shown recently that deep neural networks are poorly calibrated and tend to output overconfident…

Machine Learning · Statistics 2022-10-17 Teodora Popordanoska , Raphael Sayer , Matthew B. Blaschko