The nonextensivity parameter q occurring in some of the applications of Tsallis statistics (known also as index of the corresponding Levy distribution) is shown to be given, in the q>1 case, entirely ...by the fluctuations of the parameters of the usual exponential distribution.
We discuss a Tsallis distribution with complex nonextensivity parameter q. In this case the usual distribution is decorated with a log-periodic oscillating factor (apparently, such oscillations can ...be seen in recently measured transverse momentum distributions in collisions at very high energies). Complex q also means complex heat capacity which shall also be briefly discussed.
•Tsallis distribution decorated with log-periodic oscillations.•Complex nonextensivity parameter and heat capacity.•Scale invariance as a result of processes with discrete steps.
Recently, the CERN ALICE experiment observed muon bundles of very high multiplicities in its dedicated cosmic ray (CR) run, thereby confirming similar findings from the LEP era at CERN (in the ...CosmoLEP project). Originally, it was argued that they apparently stem from the primary CRs with a heavy masses. We propose an alternative possibility arguing that muonic bundles of highest multiplicity are produced by strangelets, hypothetical stable lumps of strange quark matter infiltrating our universe. We also address the possibility of additionally deducing their directionality which could be of astrophysical interest. Significant evidence for anisotropy of arrival directions of the observed high-multiplicity muonic bundles is found. Estimated directionality suggests their possible extragalactic provenance.
We review from the point of view of nonextensive statistics the ubiquitous presence in elementary and heavy-ion collisions of power law distributions. Special emphasis is placed on the conjecture ...that this is just a reflection of some intrinsic fluctuations existing in the hadronic systems considered. These systems are summarily described by a single parameter
q
playing the role of a nonextensivity measure in the nonextensive statistical models based on Tsallis entropy.
Recent high energy CERN LHC experiments on transverse momenta distributions of produced particles seem to show the existence of some (small but persistent) log-periodic oscillation in the ratios ...R=σdatapT∕σfitpT. We argue that they can provide us with so far unnoticed information on the production process, which can be interpreted as the presence of some kind of sound waves formed during the collision process in the bulk of the produced high density matter.
•Tsallis distributions decorated with log-periodic oscillations.•Temperature oscillations in sound waves.•Scale invariance and self-similarity as the causes of log-periodicity.
We present an overview of possible imprints of nonextensivity in particle and nuclear physics. Special emphasis is placed on the intrinsic fluctuations present in the system under consideration as ...the possible source of nonextensivity. The possible connection of nonextensivity and the self-organized criticality apparently being observed in some cosmic rays and hadronic experiments will also be discussed.
Imprints of clustering in multiplicity fluctuations Bazgir, A.; Reyna Ortiz, V. Z.; Rybczynski, M. ...
The European physical journal. A, Hadrons and nuclei,
03/2023, Letnik:
59, Številka:
3
Journal Article
Recenzirano
Odprti dostop
In this paper, we investigate the multiplicity fluctuations of charged particles observed in high-energy nuclear collisions and relate them to the size of hadronizing systems which happen during such ...processes. We use the average multiplicities
⟨
N
⟩
and variances
V
a
r
N
of multiplicity distributions of charged particles produced in centrality selected collisions of relativistic heavy-ion nuclei to evaluate the dynamic variance
Ω
and study its dependence on the size of colliding systems. We connect the observed system-size dependence of multiplicity fluctuations with the clustering phenomena and the finiteness of the hadronizing sources and the thermal bath.
Reactive oxygen species (ROS) are considered to be important factors involved in the pathophysiology of renal ischemia-reperfusion injury. ROS-induced alterations of proteins, carbohydrates, DNA, and ...lipid membranes lead to cell and organ dysfunction. Several antioxidant defense mechanisms exist to prevent or limit oxidant injury. Cellular Cu-Zn superoxide dismutase, catalase, and cellular glutathione peroxidase (cGSH-Px) are enzyme ROS scavengers, implicated in the protection against kidney damage resulting from ischemia-reperfusion injury. Reduced glutathione, a cosubstrate of cGSH-Px, have been shown to display a reductive properties without the contribution of enzymes. We examined superoxide anion (O
2
−) production by neutrophils, without and with stimulation using opsonized zymosan, in the whole blood of renal transplant patients before and after (5 and 15 minutes) reperfusion. The mean O
2
− concentration after reperfusion was statistically significantly higher than that before reperfusion.
We analyze an ensemble in which energy (E), temperature (T) and multiplicity (N) can all fluctuate and with the help of nonextensive statistics we propose a relation connecting all fluctuating ...variables. It generalizes Lindhard’s thermodynamic uncertainty relations known in literature.
► Using nonextensive statistics we propose a general thermodynamic uncertainty relation. ► It applies to ensembles with fluctuating energy, temperature and multiplicity. ► Using it one can connect different types of fluctuations observed in experimental data.
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