scholarly journals Entropic Divergence and Entropy Related to Nonlinear Master Equations

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 993 ◽  
Author(s):  
Tamás Sándor Biró ◽  
Zoltán Néda ◽  
András Telcs
Keyword(s):  
Distribution Function ◽  
Probability Distribution Function ◽  
Dynamical Equation ◽  
High Energy ◽  
Master Equations ◽  
Local Growth ◽  
Distribution Models ◽  
Reverse Engineer ◽  
High Energy Collisions ◽  
Logarithm Function

We reverse engineer entropy formulas from entropic divergence, optimized to given classes of probability distribution function (PDF) evolution dynamical equation. For linear dynamics of the distribution function, the traditional Kullback–Leibler formula follows from using the logarithm function in the Csiszár’s f-divergence construction, while for nonlinear master equations more general formulas emerge. As applications, we review a local growth and global reset (LGGR) model for citation distributions, income distribution models and hadron number fluctuations in high energy collisions.

Quantitative risk-based inspection approach for high-energy piping using a probability distribution function and modification factor

2021 ◽  
Vol 189 ◽  
pp. 104281
Author(s):  
Jung Soo Song ◽  
Vanno Lok ◽  
Kee Bong Yoon ◽  
Young Wha Ma ◽  
Byeong Ook Kong
Keyword(s):  
Distribution Function ◽  
Probability Distribution ◽  
Probability Distribution Function ◽  
High Energy ◽  
Modification Factor

Remark on the energy determination of high-energy nucleons by means of the absorption calorimeter

1968 ◽  
Vol 46 (10) ◽  
pp. S1107-S1111 ◽  
Author(s):  
A. Somogyi ◽  
G. Válas ◽  
A. Varga
Keyword(s):  
Distribution Function ◽  
Probability Distribution ◽  
Analytical Method ◽  
Probability Distribution Function ◽  
High Energy ◽  
Primary Energy ◽  
Numerical Calculations ◽  
Energy Determination ◽  
Ionization Calorimeter

The sources of error in energy determinations carried out by means of an ionization calorimeter are well known as are the values of the relevant corrections. Very little if anything is known, however, of the statistical uncertainties of these corrections. An analytical method has been worked out in order to determine the probability that a certain fraction of the primary energy leaves a calorimeter of a given thickness and thus escapes detection. The method makes due allowance for the fluctuation of the inelasticity coefficient. Numerical calculations have been carried out assuming various forms for the probability distribution function of the inelasticity coefficient, and the results of the calculations are given for various calorimeter thicknesses.

scholarly journals Position-dependent matter density probability distribution function

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Drew Jamieson ◽  
Marilena Loverde
Keyword(s):  
Distribution Function ◽  
Probability Distribution ◽  
Probability Distribution Function ◽  
Matter Density

scholarly journals Prompt multigluon production in high-energy collisions from singular Yang-Mills solutions

2003 ◽  
Vol 67 (1) ◽  
Author(s):  
Romuald A. Janik ◽  
Edward Shuryak ◽  
Ismail Zahed
Keyword(s):  
High Energy ◽  
Yang Mills ◽  
High Energy Collisions

scholarly journals Strangeness Suppression and Color Deconfinement

2018 ◽  
Vol 171 ◽  
pp. 02005
Author(s):  
Helmut Satz
Keyword(s):  
Initial Temperature ◽  
Strange Particle ◽  
High Energy ◽  
Universal Function ◽  
Ideal Gas ◽  
Entropy Density ◽  
Suppression Factor ◽  
Thermal Medium ◽  
High Energy Collisions ◽  
Hadronic Resonances

The relative multiplicities for hadron production in different high energy collisions are in general well described by an ideal gas of all hadronic resonances, except that under certain conditions, strange particle rates are systematically reduced. We show that the suppression factor γs, accounting for reduced strange particle rates in pp, pA and AA collisions at different collision energies, becomes a universal function when expressed in terms of the initial entropy density s0 or the initial temperature T of the produced thermal medium. It is found that γs increases from about 0.5 to 1.0 in a narrow temperature range around the quark-hadron transition temperature Tc ≃ 160 MeV. Strangeness suppression thus disappears with the onset of color deconfinement; subsequently, full equilibrium resonance gas behavior is attained.

scholarly journals Toward the AdS/CFT gravity dual for high energy collisions. II. The stress tensor on the boundary

2008 ◽  
Vol 77 (8) ◽  
Author(s):  
Shu Lin ◽  
Edward Shuryak
Keyword(s):  
Stress Tensor ◽  
High Energy ◽  
High Energy Collisions

scholarly journals Minijets and transverse energy flow in high energy collisions

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
Gösta Gustafson ◽  
Gabriela Miu
Keyword(s):  
Energy Flow ◽  
Transverse Energy ◽  
High Energy ◽  
High Energy Collisions ◽  
Transverse Energy Flow

scholarly journals An Online Application for ΔR Calculation

Radiocarbon ◽  
2016 ◽  
Vol 59 (5) ◽  
pp. 1623-1627 ◽  
Author(s):  
Ron W Reimer ◽  
Paula J Reimer
Keyword(s):  
Distribution Function ◽  
Probability Distribution ◽  
Calibration Curve ◽  
Probability Distribution Function ◽  
Museum Collections ◽  
Online Program ◽  
Online Application ◽  
Radiocarbon Calibration

AbstractA regional offset (ΔR) from the marine radiocarbon calibration curve is widely used in calibration software (e.g. CALIB, OxCal) but often is not calculated correctly. While relatively straightforward for known-age samples, such as mollusks from museum collections or annually banded corals, it is more difficult to calculate ΔR and the uncertainty in ΔR for 14C dates on paired marine and terrestrial samples. Previous researchers have often utilized classical intercept methods that do not account for the full calibrated probability distribution function (pdf). Recently, Soulet (2015) provided R code for calculating reservoir ages using the pdfs, but did not address ΔR and the uncertainty in ΔR. We have developed an online application for performing these calculations for known-age, paired marine and terrestrial 14C dates and U-Th dated corals. This article briefly discusses methods that have been used for calculating ΔR and the uncertainty and describes the online program deltar, which is available free of charge.

scholarly journals Absolute cross sections for the dissociation of hydrogen cluster ions in high-energy collisions with helium atoms

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
S. Eden ◽  
J. Tabet ◽  
K. Samraoui ◽  
S. Louc ◽  
B. Farizon ◽  
...  
Keyword(s):  
Cross Sections ◽  
High Energy ◽  
Cluster Ions ◽  
Helium Atoms ◽  
High Energy Collisions
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