arXiv subjects

Tamas S. Biro

Publications and source records attributed to Tamas S. Biro.

At least 19 recordsLinked to original sources

arXiv2020

Scaling in Income Inequalities and its Dynamical Origin

We provide an analytically treatable model that describes in a unified manner income distribution for all income categories. The approach is based on a master equation with growth and reset terms. The model assumptions on the growth and reset rates are tested on an exhaustive database with incomes on individual level spanning a nine year period in the Cluj county (Romania). In agreement with our theoretical predictions we find that income distributions computed for several years collapse on a master-curve when a properly normalised income is considered. The Beta Prime distribution is appropriate to fit the collapsed data and it is shown that distributions derived for other countries are following similar trends with different fit parameters. The non-universal feature of the fit parameters suggests that for a more realistic modelling the model parameters have to be linked with specific socio-economic regulations.

q-fin.GN↗

arXiv2017

Entropy Production During Hadronization of a Quark-Gluon Plasma

We revisit the physical pictures for the hadronization of quark-gluon plasma, concentrating on the problem of entropy production during processes where the number of degrees of freedom is seemingly reduced due to color confinement. Based on observations on Regge trajectories we propose not having an infinite tower of hadronic resonances. We discuss possible entropy production mechanisms far from equilibrium in terms of stochastic dynamics.

hep-ph↗

arXiv2017

Different Non-extensive Models for heavy-ion collisions

The transverse momentum ($p_T$) spectra from heavy-ion collisions at intermediate momenta are described by non-extensive statistical models. Assuming a fixed relative variance of the temperature fluctuating event by event or alternatively a fixed mean multiplicity in a negative binomial distribution (NBD), two different linear relations emerge between the temperature, $T$, and the Tsallis parameter $q-1$. Our results qualitatively agree with that of G.~Wilk. Furthermore we revisit the "Soft+Hard" model, proposed recently by G.~G.~Barnaföldi \textit{et.al.}, by a $T$-independent average $p_T^2$ assumption. Finally we compare results with those predicted by another deformed distribution, using Kaniadakis' $κ$ parametrization.

hep-ph↗

arXiv2014

Initial-State Bremsstrahlung versus Final-State Hydrodynamic Sources of Azimuthal Harmonics in p+A at RHIC and LHC

Recent pT<2~GeV azimuthal correlation data from the Beam Energy Scan (BES) and D+Au runs at RHIC/BNL and, especially, the surprising similarity of azimuthal $v_n\{2m\}(p_T)$ ``transeverse flow'' harmonics in $p+Pb$ and $Pb+Pb$ at LHC have challenged the uniqueness of local equilibrium ``perfect fluid'' interpretations of those data. We report results at QM14 on azimuthal harmonics associated with initial-state non-abelian ``wave interference'' effects predicted by perturbative QCD gluon bremsstrahlung and sourced by Color Scintillation Arrays (CSA) of color antennas. CSA are naturally identified with multiple projectile and target beam jets produced in inelastic p+A reactions. We find a remarkable similarity between azimuthal harmonics sourced by initial state CSA and those predicted with final state perfect fluid models of high energy p+A reactions. The question of which mechanism dominates in $p+A$ and $A+A$ remains open at this time.

hep-ph↗

arXiv2014

Illusory Flow in Radiation from Accelerating Charge

In this paper we analyze the classical electromagnetic radiation of an accelerating point charge moving on a straight line trajectory. Depending on the duration of accelerations, rapidity distributions of photons emerge, resembling the ones obtained in the framework of hydrodynamical models by Landau or Bjorken. Detectable differences between our approach and spectra obtained from hydrodynamical models occur at high transverse momenta and are due to interference.

hep-ph↗

arXiv2013

Ideal gas provides q-entropy

A mathematical procedure is suggested to obtain deformed entropy formulas of type K(S_K) = sum_i P_i K(-ln P_i), by requiring zero mutual K(S_K)-information between a finite subsystem and a finite reservoir. The use of this method is first demonstrated on the ideal gas equation of state with finite constant heat capacity, C, where it delivers the Renyi and Tsallis formulas. A novel interpretation of the qstar = 2-q duality arises from the comparison of canonical subsystem and total microcanonical partition approaches. Finally a new, generalized deformed entropy formula is constructed for the linear relation C(S) = C_0 + C_1 S.

cond-mat.stat-mech↗

arXiv2011

Polyakov Loop Behavior in Non-Extensive SU(2) Lattice Gauge Theory

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi and Tsallis entropy formulas. We test the random lattice spacing method numerically on the Polyakov Loop expectation value. The critical coupling and presumably also the critical deconfinement temperature shifts about 30 per cent to higher values with a realistic degree of fluctuations.

hep-lat↗

arXiv2011

Pion Production Via Resonance Decay in a Non-extensive Quark-Gluon Medium with Non-additive Energy Composition Rule

Resonance production and decay into pion pairs is simulated in a non-extensive quark matter with multi-particle interactions. Final state pion spectra are found to take the form of the Tsallis distribution, in accordance with measurements. It has also been shown that, if a large number of particles with these multi-particle interactions are constrained to a constant energy hyper-surface in phase space, the one-particle distribution is the Tsallis distribution.

hep-ph↗

arXiv2010

Non-Extensive Black Hole Thermodynamics Estimate for Power-Law Particle Spectra

We point out that by considering the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its additive formal logarithm, coinciding with the Renyi entropy, generates an equation of state with positive heat capacity above a threshold energy. Based on this, the edge of stability is conjectured to be trans-Planckian, i.e. being in the quantum range. From this conjecture an estimate arises for the q-parameter in the Renyi entropy, (q=2/pi^2), also manifested in the canonical power-law distribution of high energy particles (q ~ 1.2 for quark matter).

hep-ph↗

arXiv2008

Non-Extensive Approach to Quark Matter

We review the idea of generating non-extensive stationary distributions based on abstract composition rules for the subsystem energies, in particular the relativistic generalized Boltzmann equation method. The thermodynamical behavior of such systems is investigated and hadron spectra stemming from relativistic heavy ion collisions are calculated by assuming quark coalescence.

hep-ph↗

arXiv2008

The hadronization line in stringy matter

Using the equation of state of the string model with linear strings comes close to describing the lattice QCD results and offers an explanation for the E/N = 1 GeV hadronization condition found in phenomenological statistical model. The E/N = 6T relation is derived from the zero pressure condition and is a fairly general result. The baryochemical potential dependence of the hadron gas can be met if it is re-interpreted in the framework of an additive quark model.

hep-ph↗

arXiv2006

Mass gap from pressure inequalities

We prove that a temperature independent mass distribution is identically zero below a mass threshold (mass gap) value, if the pressure satisfies certain inequalities. This supports the finding of a minimal mass in quark matter equation of state by numerical estimates and by substitution of analytic formulas. We present a few inequalities for the mass distribution based on the Markov inequality.

hep-ph↗

arXiv2004

Power-law tails from multiplicative noise

We show that the well-known Langevin equation, modeling the Brownian motion and leading to a Gaussian stationary distribution of the corresponding Fokker-Planck equation, is changed by the smallest multiplicative noise. This leads to a power-law tail of the distribution at large enough momenta. At finite ratio of the correlation strength for the multiplicative and additive noise the stationary energy distribution becomes exactly the Tsallis distribution.

hep-ph↗

arXiv2004

Full Spectrum of Lyapunov Exponents in Gauge Field Theory

We analyze the Lyapunov exponents of U(1) gauge fields across the phase transition from the confinement to the Coulomb phase on the lattice which are initialized by quantum Monte Carlo simulations. We observe all features of a strange attractor with a tendency to regularity towards the continuum limit. Results are also displayed for the full spectrum of Lyapunov exponents of the SU(2) gauge system.

hep-lat↗

arXiv2004

Monopoles in Real Time for Classical U(1) Gauge Field Theory

U(1) gauge fields are decomposed into a monopole and photon part across the phase transition from the confinement to the Coulomb phase. We analyze the leading Lyapunov exponents of such gauge field configurations on the lattice which are initialized by quantum Monte Carlo simulations. We observe that the monopole field carries the same Lyapunov exponent as the original U(1) field. As a long awaited result, we show that monopoles are created and annihilated in pairs as a function of real time in excess to a fixed average monopole number.

hep-lat↗

arXiv2003

How low is the thermodynamical limit?

We analyze how can some dynamical process lead to (almost) exponential distribution of hadrons without instantaneous equipartition with a heat bath. We present a model for parton dressing whic re-combines the exponential from cut power law minijet distributions as a limiting distribution. Thermal models and power law tails are interpreted within the framework of the more general Tsallis distribution.

hep-ph↗

arXiv2003

Chaotic Quantization of Four-Dimensional U(1) Lattice Gauge Theory

We demonstrate that the quantized U(1) lattice gauge theory in four Euclidean dimensions can be obtained as the long time limit of the corresponding classical U(1) gauge theory in 4+1 dimensions. The Planck constant hbar is related to the excitation energy and the lattice constant of this classical template.

hep-lat↗

arXiv2003

Almost exponential transverse spectra from power law spectra

We point out that exponential shape of transverse spectra can be obtained as the Fourier transform of the limiting distribution of randomly positioned partons with power law spectra given by pQCD, which actually realize Tsallis distributions. Such spectra were used to obtain hadron yields by recombination in relativistic heavy-ion collisions at RHIC energies.

hep-ph↗