Self-affine fluctuations of pions and protons and nonthermal phase transition in hadron–nucleus interactions

2008 ◽  
Vol 86 (12) ◽  
pp. 1449-1459 ◽  
Author(s):  
D Ghosh ◽  
A Deb ◽  
S Pal ◽  
J Ghosh
Keyword(s):  
Phase Transition ◽  
Phase Space ◽  
Production Process ◽  
Hurst Exponent ◽  
Factorial Moment ◽  
Multiparticle Production ◽  
Two Dimensional ◽  
Dimensional Phase Space ◽  
Compound Multiplicity ◽  
Multiplicity Distributions

The paper reports a study revealing self-affine fluctuations in pion, proton, and compound multiplicity (of pions combined with protons) spectra obtained from the interactions of 350 GeV pions with AgBr nuclei. The study is performed in the transformed two-dimensional phase space of the emission and azimuthal angles using the factorial moment methodology and the concept of the Hurst exponent. Evidence of a nonthermal phase transition is obtained for self-affine fluctuations of pions along with an indication for such a regime to be seen in similar fluctuations of proton and compound multiplicity distributions. The study bridges the anisotropic nature of the multiparticle production process and an evidence of the nonthermal phase transition with similar earlier findings from hadron–hadron and nucleus–nucleus interactions and shows the same effects to be peculiar features of the multiplicity distributions of the different species of particles produced. All this brings important information about the underlying dynamics of the hadroproduction process.PACS Nos.: 25.80.Hp, 24.60.Ky, 13.85.–t

FLUCTUATION PATTERN OF SHOWER AND COMPOUND MULTIPLICITY DISTRIBUTIONS IN NUCLEUS–NUCLEUS INTERACTIONS AT A FEW GeV

2011 ◽  
Vol 20 (05) ◽  
pp. 1287-1306
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
MADHUMITA BANERJEE LAHIRI ◽  
PASUPATI MANDAL ◽  
SUBRATA BISWAS ◽  
...  
Keyword(s):  
Negative Binomial Distribution ◽  
Hurst Exponent ◽  
Multiplicity Distribution ◽  
Negative Binomial ◽  
Factorial Moment ◽  
Two Dimensional ◽  
Fluctuation Pattern ◽  
Frame Work ◽  
Compound Multiplicity ◽  
Multiplicity Distributions

This work presents a study on the multiplicity distribution of shower and compound multiplicity (pions + target protons) emitted from 12 C – AgBr and 24 Mg – AgBr interactions at 4.5 AGeV in terms of negative binomial distribution (NBD) and also on the fluctuation pattern of shower and compound multiplicity in the frame work of two-dimensional factorial moment methodology using the concept of Hurst exponent.

SELF-SIMILAR AND SELF-AFFINE PIONIZATION IN NUCLEAR INTERACTIONS AT A FEW AGeV

2004 ◽  
Vol 13 (06) ◽  
pp. 1179-1189 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
KEYA DUTTA (CHATTOPADHYAY) ◽  
RINKU SARKAR ◽  
ISHITA SEN (DUTTA)
Keyword(s):  
Phase Space ◽  
Hurst Exponent ◽  
Factorial Moment ◽  
Two Dimensional ◽  
Nuclear Interactions ◽  
Fluctuation Pattern ◽  
Self Similar

Self-affine multiplicity scaling is investigated in the framework of two-dimensional factorial moment methodology using the concept of the Hurst exponent (H) considering different bins of the phase space. We have investigated the fluctuation pattern of emitted pions in 24 Mg - AgBr interactions at 4.5 AGeV and this study reveals that the fluctuation is self-similar in some bins, whereas it is self-affine in other bins, that is, the multiplicity scaling is bin-dependent.

ENERGY DEPENDENCE OF MULTIDIMENSIONAL FRACTAL BEHAVIOR OF PIONS IN NUCLEAR COLLISION

Fractals ◽  
2007 ◽  
Vol 15 (03) ◽  
pp. 223-235 ◽  
Author(s):  
DIPAK GHOSH ◽  
ARGHA DEB ◽  
RUPA DAS ◽  
SITARAM PAL ◽  
JAYITA GHOSH
Keyword(s):  
Phase Space ◽  
Energy Dependence ◽  
Hurst Exponent ◽  
Factorial Moment ◽  
Nuclear Collision ◽  
Two Dimensional ◽  
Self Similarity ◽  
Positive Evidence ◽  
Fluctuation Pattern ◽  
Multifractal Behavior

This paper reports a study on multidimensional fractal behavior of pions emitted in 16 O - AgBr interactions at 2.1 and 60 AGeV by dividing the full bin range into different sub-bin ranges. Analysis is performed in (Xη - Xϕ) space following two-dimensional factorial moment methodology using the concept of Hurst exponent, which takes into account the anisotropy of phase space. Different scaling behavior is observed in different bins at two different energies. The data show a positive evidence of change of fluctuation pattern from self-similarity to self-affinity with increase of energy. Multifractal dimensions have been calculated in each case and it is observed that pions at both energies exhibit multifractal behavior.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

scholarly journals Effects of Vegetation and Topography on the Boundary Layer Structure above the Amazon Forest

2020 ◽  
Vol 77 (8) ◽  
pp. 2941-2957
Author(s):  
Marcelo Chamecki ◽  
Livia S. Freire ◽  
Nelson L. Dias ◽  
Bicheng Chen ◽  
Cléo Quaresma Dias-Junior ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Phase Space ◽  
Vertical Structure ◽  
Layer Structure ◽  
Roughness Sublayer ◽  
Large Contribution ◽  
Amazon Forest ◽  
Two Dimensional ◽  
Dimensional Phase Space ◽  
Field Campaigns

Abstract Observational data from two field campaigns in the Amazon forest were used to study the vertical structure of turbulence above the forest. The analysis was performed using the reduced turbulent kinetic energy (TKE) budget and its associated two-dimensional phase space. Results revealed the existence of two regions within the roughness sublayer in which the TKE budget cannot be explained by the canonical flat-terrain TKE budgets in the canopy roughness sublayer or in the lower portion of the convective ABL. Data analysis also suggested that deviations from horizontal homogeneity have a large contribution to the TKE budget. Results from LES of a model canopy over idealized topography presented similar features, leading to the conclusion that flow distortions caused by topography are responsible for the observed features in the TKE budget. These results support the conclusion that the boundary layer above the Amazon forest is strongly impacted by the gentle topography underneath.

Different void fluctuation in ring-like events and jet-like events in 16O–AgBr interactions at 60 AGeV

2014 ◽  
Vol 23 (11) ◽  
pp. 1450067 ◽  
Author(s):  
M. Mondal ◽  
S. Biswas Ghosh ◽  
A. Mondal ◽  
D. Ghosh ◽  
A. Deb
Keyword(s):  
Phase Transition ◽  
Production Process ◽  
Dimensional Analysis ◽  
High Energy ◽  
Two Dimensional ◽  
Hadron Phase ◽  
High Energy Collisions ◽  
Two Parameters

This paper reports a study of fluctuations and possible signature of quark–hadron phase transition in high energy collisions. The study is based on the ring-like and jet-like events for pions produced in 16 O – AgBr interactions at 60 AGeV. We have performed two-dimensional analysis (η-φ space) of fluctuation of voids for two types of azimuthal substructures of produced pions (ring-like and jet-like) following connecting void approach given by R. C. Hwa and Q. H. Zhang. The values of two parameters "c" and "s" reveal different void pattern fluctuation in ring-like and jet-like events, which hints toward different mechanism in their production process.

An Investigation on Damage Detection in Aircrafts Panels Using Nonlinear Time Series Analysis

2007 ◽  
Vol 347 ◽  
pp. 213-218 ◽  
Author(s):  
Irina Trendafilova ◽  
Emil Manoach ◽  
Matthew P. Cartmell ◽  
Wiesław M. Ostachowicz ◽  
Arkadiusz Zak
Keyword(s):  
Phase Space ◽  
Vibration Response ◽  
Fe Model ◽  
Two Dimensional ◽  
Orthotropic Plates ◽  
Fe Modelling ◽  
Dimensional Phase Space ◽  
Damage States ◽  
Low Sensitivity ◽  
Aircraft Panels

This study investigates a possibility for representing, interpreting and visualising the vibration response of aircraft panels using time domain measurements. The aircraft panels are modelled as thin orthotropic plates and their vibration response is simulated using FE modelling. The vibration response of a thin aluminium panel is simulated using FE modelling. The first ten resonant frequencies are estimated for the FE model and for the dynamically tested panel. They were found to show somewhat low sensitivity to damage. Then the simulated vibration response of the panel is transformed and expanded in a new phase space. This presents an alternative way to study and analyse the dynamics of a structure. A two dimensional phase space is used in this investigation. Thus instead of studying the single dimension measured vibration characteristics one is faced with expanded two dimensional variables which can be visualised and this facilitates the comparison between the damaged and the non-damage states.

scholarly journals PLANAR SYSTEM AND w∞ ALGEBRA

2005 ◽  
Vol 20 (37) ◽  
pp. 2861-2871 ◽  
Author(s):  
JAMILA DOUARI
Keyword(s):  
Phase Space ◽  
Heisenberg Algebra ◽  
Two Dimensional ◽  
Planar System ◽  
Exotic Particles ◽  
Dimensional Phase Space

We study the exotic particles symmetry in the background of noncommutative two-dimensional phase-space leading to realize in physics the deformed version of Cλ-extended Heisenberg algebra and ω∞ symmetry.

scholarly journals CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE

2009 ◽  
Vol 24 (25n26) ◽  
pp. 4769-4788 ◽  
Author(s):  
TEKİN DERELİ ◽  
ADNAN TEĞMEN ◽  
TUĞRUL HAKİOĞLU
Keyword(s):  
Phase Space ◽  
Canonical Transformation ◽  
Generating Functions ◽  
General Framework ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Canonical Transformations ◽  
Dimensional Phase Space ◽  
Nambu Bracket ◽  
Definition Of

Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.

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