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A key goal of many Cosmic Microwave Background experiments is the detection of gravitational waves, through their B-mode polarization signal at large scales. To extract such a signal requires modelling contamination from the Galaxy. Using…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Charmaine Armitage-Caplan , Joanna Dunkley , Hans Kristian Eriksen , Clive Dickinson

We propose a general mechanism for renormalization of the tunneling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/f noise and dissipation are considered both for the…

Strongly Correlated Electrons · Physics 2012-09-19 A. Braggio , D. Ferraro , M. Carrega , N. Magnoli , M. Sassetti

We analyze the dephasing dynamics of an impurity coupled to an anharmonic environment. We show that a strong anharmonicity produces two different effects depending on the environment temperature: for high temperatures, the system suffers a…

Quantum Physics · Physics 2021-11-04 Max Bramberger , Inés De Vega

The Tsallis entropy, which is a generalization of the Boltzmann-Gibbs entropy, plays a central role in nonextensive statistical mechanics of complex systems. A lot of efforts have recently been made on establishing a dynamical foundation…

Statistical Mechanics · Physics 2009-11-11 Sumiyoshi Abe , Yutaka Nakada

We search for the signature of parity-violating physics in the Cosmic Microwave Background using Planck polarization data from the Public Release 4 (PR4 or $\mathtt{NPIPE}$). For nearly full-sky data, we initially find a birefringence angle…

Instrumental variables have proven useful, in particular within the social sciences and economics, for making inference about the causal effect of a random variable, B, on another random variable, C, in the presence of unobserved…

Methodology · Statistics 2012-06-26 Roland R. Ramsahai

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

Statistical Mechanics · Physics 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

Tsallis' thermostatistical has received increasing attention due to its success in describing phenomena that manifest unusual thermodynamic properties. In this context, the generalized Saha equation must follow a condition of generalized…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-21 L. L. Sales , F. C. Carvalho , E. P. Bento , H. T. C. M. Souza

The foundations of the Boltzmann-Gibbs (BG) distributions for describing equilibrium statistical mechanics of systems are examined. Broadly, they fall into: (i) probabilistic paaroaches based on the principle of equal a priori probability…

Statistical Mechanics · Physics 2009-11-10 A. K. Rajagopal , Sumiyoshi Abe

The thermodynamic relations in the Tsallis statistics were studied with physical quantities. An additive entropic variable related to the Tsallis entropy was introduced by assuming the form of the first law of the thermodynamics. The…

Statistical Mechanics · Physics 2023-03-15 Masamichi Ishihara

In this paper, inspired by Tsallis' probability distribution based on a $q$-deformed Boltzmann factor, we stipulate a new $q$-deformed quantum dynamics by applying the inverse Wick rotation $ \beta \rightarrow i t$ to the Tsallis-deformed…

Quantum Physics · Physics 2025-05-09 Won Sang Chung , Georg Junker , Luis M. Nieto , Hassan Hassanabadi

The role played by non extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics has been discussed in details in many works and…

Statistical Mechanics · Physics 2018-10-17 Airton Deppman , Eugenio Megias , Debora P. Menezes , Tobias Frederico

In the framework of the Tsallis nonextensive statistical mechanics we study an assembly of N spins, first in a background magnetic field, and then assuming them to interact via a long-range homogeneous mean field. To take into account the…

Statistical Mechanics · Physics 2010-04-15 R. Chakrabarti , R. Chandrashekar

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics simulations, that the overdamped motion of interacting particles at T=0, where T is the temperature of a thermal bath connected to the system, can be…

Statistical Mechanics · Physics 2011-02-08 J. S. Andrade , G. F. T. da Silva , A. A. Moreira , F. D. Nobre , E. M. F. Curado

We report the results of a numerical investigation, performed in the frame of dynamical systems' theory, for a realistic model of a ionic crystal for which, due to the presence of long--range Coulomb interactions, the Gibbs distribution is…

Statistical Mechanics · Physics 2020-08-04 Andrea Carati , Luigi Galgani , Fabrizio Gangemi , Roberto Gangemi

Tsallis Statistics was used to investigate the non-Boltzmann distribution of particle spectra and their dependence on particle species and beam energy in the relativistic heavy-ion collisions at SPS and RHIC. Produced particles are assumed…

Nuclear Experiment · Physics 2010-12-02 Ming Shao , Li Yi , Zebo Tang , Hongfang Chen , Cheng Li , Zhangbu Xu

Within Tsallis statistics, a picture is elaborated to address self--similar time series as a thermodynamic system. Thermodynamic--type characteristics relevant to temperature, pressure, entropy, internal and free energies are introduced and…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

We studied multiple quantum harmonic oscillators in the Tsallis statistics of entropic parameter $q$ in the cases that the distributions are power-like, separately applying the conventional expectation value, the unnormalized…

Statistical Mechanics · Physics 2024-11-21 Masamichi Ishihara

We study the estimation of Tsallis entropy of a finite number of independent populations, each following an exponential distribution with the same scale parameter and distinct location parameters for $q>0$. We derive a Stein-type improved…

Statistics Theory · Mathematics 2024-01-18 Naveen Kumar , Ambesh Dixit , Vivek Vijay

The thermodynamic parameters like energy density, pressure, entropy density, temperature and particle density are determined from the transverse momentum distributions of charged particles in Pb-Pb collisions at the LHC. The results show a…

High Energy Physics - Phenomenology · Physics 2020-04-22 M. D. Azmi , T. Bhattacharyya , J. Cleymans , M. Paradza
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