Entropy production during hadronization of a quark-gluon plasma

Bı́ró, Tamás; Schram, Zsolt; Jenkovszky, L. L.

doi:10.1140/epja/i2018-12408-7

Cited by 8 publications

(5 citation statements)

References 46 publications

(100 reference statements)

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“…Related examples and applications as well as earlier references may be found in Refs. [14,15]. We found by trial and error that that the present one -a two-pion threshold plus a linear term -is the optimal choice in the kinematic region in question.…”

Section: Introductionmentioning

confidence: 86%

Shape of proton and the pion cloud

2018

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Proton-proton differential and total cross sections provide information on the energy dependence of proton shape and size. We show that the deviation from exponential behavior of the diffraction cone observed near t = −0.1 GeV 2 , (so-called break), both at the ISR and the LHC follows from the t-channel two-pion loop contributions, imposed by unitarity. By using a simple Regge-pole model, we extrapolate the "break" from the ISR energy region to that of the LHC. This allows us to answer two important questions: 1) To what extent is the "break" observed recently at the LHC a "recurrence" of that seen at the ISR (universality)? 2) What is the relative weight of two-pion effect to the vertex coupling (Regge residue) compared to expanding size (pomeron propagator) in producing the "break"? We find that the effect comes both from the Regge residue (protonpomeron coupling) and from the Regge propagator. A detail analyses of their balance, including the correlation between the relevant parameters is presented.

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Section: Introductionmentioning

confidence: 86%

Shape of proton and the pion cloud

2018

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“…In our approach, the real part of Regge trajectories is limited, implying a finite number of resonances in Nature. This issue is related to the Hagedorn spectrum and "ultimate temperature", now interpreted as a the temperature of the phase transition between hadrons and quark-gluon plasma [12].…”

Section: Hadron-hadron Scatteringmentioning

confidence: 99%

Spin and Polarization in High-Energy Hadron-Hadron and Lepton-Hadron Scattering

Jenkovszky

2020

Symmetry

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The role of spin degrees of freedom in high-energy hadron-hadron and lepton-hadron scattering is reviewed with emphasis on the dominant role of soft, diffractive, non-perturbative effects. Explicit models based on analyticity and Regge-pole theory, including the pomeron trajectory (gluon exchange in the t channel) are discussed. We argue that there is a single, universal pomeron in Nature, manifest as relatively “soft” or “hard”, depending on the kinematics considered. Both the pomeron and the non-leading (secondary) Regge trajectories, made of quarks are non-linear, complex functions. They are populated by a finite number of resonances: known baryons and mesons in case of the reggeons and hypothetical glueballs in case of the pomeron (“oddballs” on the odderon trajectory). Explicit models and fits are presented that may be used in recovering generalized parton distributions from deeply virtual Compton scattering and electoproduction of vector mesons.

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“…This change is based on the dynamics (time evolution) of the evolving distribution, P n (t), while the targeted stationary distribution, Q n is, by definition, time independent. First we consider a class of stochastic evolutions governed by differential equations forṖ n (t) ≡ dP n dt , linear in the distribution, P n (t) [5]. We consider the trace form ρ[P, Q] = ∑ n Q n σ P n Q n and the background master equationṖ…”

Section: Entropic Distance Evolution Due To Linear Stochastic Dynamicsmentioning

confidence: 99%

Entropic Distance for Nonlinear Master Equation

2018

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More and more works deal with statistical systems far from equilibrium, dominated by unidirectional stochastic processes, augmented by rare resets. We analyze the construction of the entropic distance measure appropriate for such dynamics. We demonstrate that a power-like nonlinearity in the state probability in the master equation naturally leads to the Tsallis (HavrdaCharvát, Aczél-Daróczy) q-entropy formula in the context of seeking for the maximal entropy state at stationarity. A few possible applications of a certain simple and linear master equation to phenomena studied in statistical physics are listed at the end.Keywords: q-entropy; entropic distance; Matthew principle Definition and Properties of Entropic DistanceDealing with the dynamics of classical probabilities, we would like to propose a general recipe for defining the corresponding formula for the entropic divergence between two probability distributions. Our goal is to handle complex systems with a stochastic dynamics, generalized to nonlinear dependence on the probabilities. For the study of quantum state probabilities and their distance measures we refer to a recent paper [1] and references therein.Entropic distance, more properly called "entropic divergence", is traditionally interpreted as a relative entropy, as a difference between entropies with a prior condition, and without [2]. It is also the Boltzmann-Shannon entropy of a distribution relative to another [3]. Looking at this construction, however, from the viewpoint of a generalized entropy [4], the simple difference or logarithm of a ratio cannot be held as a definition anymore.Instead, in this paper, we explore a reverse engineering concept: seeking an entropic divergence formula, which is subject to some wanted properties, we consider entropy as a derived quantity. More precisely, we seek entropic divergence formulas appropriate for given stochastic dynamics, shrinking during the approach to a stationary distribution, whenever it exists, and establish the entropy formula from this distance to the uniform distribution. By doing so we serve two goals: (i) having constructed a non-negative entropic distance we derive an entropy formula which is maximal for the uniform distribution; and (ii) we come as near as possible to the classical difference formula for the relative entropy.Starting from a given master equation, it is far from trivial that which is the most suitable entropy divergence formula for analyzing the stability of a stationary solution. In the present paper we provide a general procedure to obtain a general entropic divergence formula for atypical cases. Although we exemplify only the well-known cases of the logarithmic formula of the Kullback-Leibler and that of the Renyi divergence, our result readily generalizes to an infinite number of cases, distinguished by the dependence on the initial state probability at each transition term.

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Entropy production during hadronization of a quark-gluon plasma

Cited by 8 publications

References 46 publications

Shape of proton and the pion cloud

Shape of proton and the pion cloud

Spin and Polarization in High-Energy Hadron-Hadron and Lepton-Hadron Scattering

Entropic Distance for Nonlinear Master Equation

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