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This is a set of notes on some unrelated topics in mathematical physics, at varying levels of detail. First, I consider certain questions relating to the decay of correlation functions in matrix product states, in particular those generated…

Quantum Physics · Physics 2014-04-17 M. B. Hastings

The dynamical charge fluctuations have been studied in ultra-relativistic heavy-ion collisions by using hadronic model simulations, such as UrQMD and HIJING. The evolution of fluctuations has been calculated at different time steps during…

Nuclear Theory · Physics 2015-03-03 Bhanu Sharma , Madan M. Aggarwal , Nihar Ranjan Sahoo , Tapan K. Nayak

We compare two definitions of connected correlation functions in fluctuating geometries. We show results of the MC simulations for 4D dynamical triangulation in the elongated phase and compare them with the exact calculations of correlation…

High Energy Physics - Lattice · Physics 2009-10-28 P. Bialas

Four fermion processes at e+ e- colliders in a range of energy from 100 GeV to 1 TeV are discussed and examples of results obtained with an event generator presented. We also investigate the effects of the inclusion of initial state QED…

High Energy Physics - Phenomenology · Physics 2009-10-28 F. A. Berends , R. Kleiss , R. Pittau

Experimental data are presented on particle correlations and fluctuations in various high-energy multiparticle collisions, with special emphasis on evidence for scaling-law evolution in small phase-space domains. The notions of…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. A. De Wolf , I. M. Dremin , W. Kittel

Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field $F$, with the history of fluctuations of the particle, become detectable. Exact analytical theory for the…

Statistical Mechanics · Physics 2009-11-11 Eli Barkai

The Fluctuation Relation (FR) is an asymptotic result on the distribution of certain observables averaged over time intervals T as T goes to infinity and it is a generalization of the fluctuation--dissipation theorem to far from equilibrium…

Statistical Mechanics · Physics 2009-11-10 A. Giuliani , F. Zamponi , G. Gallavotti

The review is devoted to the detailed description of the fluctuation phenomena in superconductors. Developing phenomenological methods through the first five sections we deal with the direct fluctuation pair contributions only. The indirect…

Superconductivity · Physics 2007-05-23 A. I. Larkin , A. A. Varlamov

The current status of theoretical work and experimental analyses on power corrections in QCD for e+e- annihilation will be reviewed. Measurements of the number of active quark flavours n_f and the QCD colour factors C_A and C_F derived from…

High Energy Physics - Experiment · Physics 2009-10-31 Stefan Kluth

Recent results for the asymptotic behavior of fermion scattering amplitudes in the Sudakov limit are presented including next-to-leading logarithmic corrections. These are used for the analysis of the dominant electroweak corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. H. Kühn , A. A. Penin , V. A. Smirnov

Up to now, the $N^*$ production from $e^+e^-$ annihilations has been studied only around charmonium region. Charmonium decays to $N^*$s are analogous to (time-like) EM form factors in that the charm quark annihilation provides a nearly…

High Energy Physics - Phenomenology · Physics 2018-01-31 Bing-Song Zou

Non-equilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation relations. Typically, one looks at the…

Statistical Mechanics · Physics 2016-08-03 Keiji Saito , Abhishek Dhar

The properties of two measures of charge fluctuations D and Delta Phi_q are discussed within several toy models of nuclear collisions. In particular their dependence on mean particle multiplicity, multiplicity fluctuations and net electric…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jacek Zaranek

We study the out-of-equilibrium fluctuation-dissipation (FD) relations in the low temperature, finite time, physical aging regime of two simple models with strong glass behaviour, the Fredrickson-Andersen model and the square-plaquette…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

For the first time, new important features of the fluctuation electromagnetic interaction between a small conducting particle and a smooth surface of polarizable medium (both dielectric and metallic) are worked out. The particle is…

Other Condensed Matter · Physics 2009-03-06 G. V. Dedkov , A. A. Kyasov

We present an analysis of the quantum fluctuations around the electroweak sphaleron and calculate the associated determinant which gives the 1--loop correction to the sphaleron transition rate. The calculation differs in various technical…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Baacke , S. Junker

We analyze a generic model where wounded quarks are amended with strings in which both end-point positions fluctuate in spatial rapidity. With the assumption that the strings emit particles independently of one another and with a uniform…

Nuclear Theory · Physics 2019-02-13 Martin Rohrmoser , Wojciech Broniowski

Fluctuation relations are identities, holding in non-equilibrium systems, that have attracted a lot of interest in the last 20 years. This is a series of 4 lectures discussing various aspects of such relations for stochastic equations…

Mathematical Physics · Physics 2013-08-08 Krzysztof Gawedzki

We perform quantum calculations of fluctuations of the electromagnetic fields in $AA$ collisions at RHIC and LHC energies. Calculations are performed with the help of the fluctuation-dissipation theorem accounting for the giant dipole and…

Nuclear Theory · Physics 2019-03-27 B. G. Zakharov

We study forward-backward charge fluctuations to probe the correlations among produced particles in ultra relativistic heavy ion collisions. We develop a model that describes the forward-backward dynamical fluctuations and apply it to…

Nuclear Theory · Physics 2007-05-23 Mohamed Abdel-Aziz , Marcus Bleicher
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