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The numerical experiments of turbulence conducted by Gotoh et al. are analyzed precisely with the help of the formulae for the scaling exponents of velocity structure function and for the probability density function (PDF) of velocity…

Statistical Mechanics · Physics 2009-11-07 T. Arimitsu , N. Arimitsu

We derive the exact relation for the energy transfer in three-dimensional compressible two-fluid plasma turbulence. In the long-time limit, we obtain an exact law which expresses the scale-to-scale average energy flux rate in terms of two…

Plasma Physics · Physics 2020-05-01 Supratik Banerjee , Nahuel Andres

This paper discusses the mathematical representation of an empirically observed phenomenon, referred to as Incremental Similarity. We discuss this feature from the viewpoint of stochastic processes and present a variety of non-trivial…

Probability · Mathematics 2015-09-23 Ole E. Barndorff-Nielsen , Juergen Schmiegel

Observations reveal nearly power-law spectra of magnetic and density plasma fluctuations at subproton scales in the solar wind, which indicates the presence of a turbulent cascade. We discuss the three-field and two-field models for…

Plasma Physics · Physics 2013-05-06 Stanislav Boldyrev , Jean Carlos Perez

Cosmological perturbations of sufficiently long wavelength admit a fluid dynamic description. We consider modes with wavevectors below a scale $k_m$ for which the dynamics is only mildly non-linear. The leading effect of modes above that…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 Diego Blas , Stefan Floerchinger , Mathias Garny , Nikolaos Tetradis , Urs Achim Wiedemann

Observations and modelling suggest that the fluctuations in magnetised plasmas exhibit scale-dependent anisotropy, with more energy in the fluctuations perpendicular to the mean magnetic field than in the parallel fluctuations and the…

Solar and Stellar Astrophysics · Physics 2013-04-22 T. Laitinen , S. Dalla , J. Kelly , M. Marsh

Compressible turbulence, especially the magnetized version of it, traditionally has a bad reputation with researchers. However, recent progress in theoretical understanding of incompressible MHD as well as that in computational capabilities…

Astrophysics · Physics 2007-05-23 Jungyeon Cho , A. Lazarian

We present the first measurement of the fluctuations in the number of muons in extensive air showers produced by ultrahigh energy cosmic rays. We find that the measured fluctuations are in good agreement with predictions from air shower…

High Energy Physics - Experiment · Physics 2021-04-28 The Pierre Auger Collaboration , A. Aab , P. Abreu , M. Aglietta , J. M. Albury , I. Allekotte , A. Almela , J. Alvarez-Muñiz , R. Alves Batista , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , P. R. Araújo Ferreira , H. Asorey , P. Assis , G. Avila , A. M. Badescu , A. Bakalova , A. Balaceanu , F. Barbato , R. J. Barreira Luz , K. H. Becker , J. A. Bellido , C. Berat , M. E. Bertaina , X. Bertou , P. L. Biermann , T. Bister , J. Biteau , J. Blazek , C. Bleve , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , A. M. Botti , J. Brack , T. Bretz , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , K. S. Caballero-Mora , L. Caccianiga , A. Cancio , F. Canfora , I. Caracas , J. M. Carceller , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , J. A. Chinellato , K. Choi , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , A. Coleman , M. R. Coluccia , R. Conceição , A. Condorelli , G. Consolati , F. Contreras , F. Convenga , C. E. Covault , S. Dasso , K. Daumiller , B. R. Dawson , J. A. Day , R. M. de Almeida , J. de Jesús , S. J. de Jong , G. De Mauro , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , V. de Souza , E. De Vito , J. Debatin , M. del Río , O. Deligny , H. Dembinski , N. Dhital , A. Di Matteo , C. Dobrigkeit , J. C. D'Olivo , R. C. dos Anjos , M. T. Dova , J. Ebr , R. Engel , I. Epicoco , M. Erdmann , C. O. Escobar , A. Etchegoyen , H. Falcke , J. Farmer , G. Farrar , A. C. Fauth , N. Fazzini , F. Feldbusch , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , T. Fodran , M. M. Freire , T. Fujii , A. Fuster , C. Galea , C. Galelli , B. García , A. L. Garcia Vegas , H. Gemmeke , F. Gesualdi , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , M. Giller , J. Glombitza , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , N. González , I. Goos , D. Góra , A. Gorgi , M. Gottowik , T. D. Grubb , F. Guarino , G. P. Guedes , E. Guido , S. Hahn , R. Halliday , M. R. Hampel , P. Hansen , D. Harari , V. M. Harvey , A. Haungs , T. Hebbeker , D. Heck , G. C. Hill , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , J. Hulsman , A. Insolia , P. G. Isar , J. A. Johnsen , J. Jurysek , A. Kääpä , K. H. Kampert , B. Keilhauer , J. Kemp , H. O. Klages , M. Kleifges , J. Kleinfeller , M. Köpke , G. Kukec Mezek , B. L. Lago , D. LaHurd , R. G. Lang , N. Langner , M. A. Leigui de Oliveira , V. Lenok , A. Letessier-Selvon , I. Lhenry-Yvon , D. Lo Presti , L. Lopes , R. López , R. Lorek , Q. Luce , A. Lucero , J. P. Lundquist , A. Machado Payeras , G. Mancarella , D. Mandat , B. C. Manning , J. Manshanden , P. Mantsch , S. Marafico , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , H. Martinez , O. Martínez Bravo , M. Mastrodicasa , H. J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , P. O. Mazur , G. Medina-Tanco , D. Melo , A. Menshikov , K. -D. Merenda , S. Michal , M. I. Micheletti , L. Miramonti , S. Mollerach , F. Montanet , C. Morello , M. Mostafá , A. L. Müller , M. A. Muller , K. Mulrey , R. Mussa , M. Muzio , W. M. Namasaka , L. Nellen , M. Niculescu-Oglinzanu , M. Niechciol , D. Nitz , D. Nosek , V. Novotny , L. Nožka , A Nucita , L. A. Núñez , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , M. Pech , F. Pedreira , J. Pękala , R. Pelayo , J. Peña-Rodriguez , J. Perez Armand , M. Perlin , L. Perrone , S. Petrera , T. Pierog , M. Pimenta , V. Pirronello , M. Platino , B. Pont , M. Pothast , P. Privitera , M. Prouza , A. Puyleart , S. Querchfeld , J. Rautenberg , D. Ravignani , M. Reininghaus , J. Ridky , F. Riehn , M. Risse , P. Ristori , V. Rizi , W. Rodrigues de Carvalho , J. Rodriguez Rojo , M. J. Roncoroni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , S. J. Saffi , A. Saftoiu , F. Salamida , H. Salazar , G. Salina , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. Sarmiento-Cano , R. Sato , P. Savina , C. M. Schäfer , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , F. Schlüter , D. Schmidt , O. Scholten , P. Schovánek , F. G. Schröder , S. Schröder , J. Schulte , S. J. Sciutto , M. Scornavacche , R. C. Shellard , G. Sigl , G. Silli , O. Sima , R. Šmída , P. Sommers , J. F. Soriano , J. Souchard , R. Squartini , M. Stadelmaier , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , A. Streich , M. Suárez-Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , J. Šupík , Z. Szadkowski , A. Taboada , A. Tapia , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , G. Torralba Elipe , A. Travaini , P. Travnicek , C. Trimarelli , M. Trini , M. Tueros , R. Ulrich , M. Unger , L. Vaclavek , M. Vacula , J. F. Valdés Galicia , I. Valiño , L. Valore , E. Varela , V. Varma K. C. , A. Vásquez-Ramírez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , H. Wahlberg , A. A. Watson , M. Weber , A. Weindl , L. Wiencke , H. Wilczyński , T. Winchen , M. Wirtz , D. Wittkowski , B. Wundheiler , A. Yushkov , O. Zapparrata , E. Zas , D. Zavrtanik , M. Zavrtanik , L. Zehrer , A. Zepeda

Under the basic assumption that the observed turbulent motions in molecular clouds are Alfvenic waves or turbulence, we emphasize that the Doppler broadening of molecular line profiles directly measures the velocity amplitudes of the waves…

Astrophysics · Physics 2009-10-28 Taoling Xie

(Modified) The scaling of velocity fluctuation, dv, as a function of spatial scale L in molecular clouds can be measured from size-linewidth relations, principal component analysis, or line centroid variation. Differing values of the power…

Astrophysics · Physics 2009-11-10 C. M. Brunt , M. -M. Mac Low

The use of statistical fluctuations as probes of the microscopic dynamics of hot and dense hadronic matter is reviewed. Critical fluctuations near the critical point of QCD matter are predicted to enhance fluctuations in pionic observables.…

Nuclear Theory · Physics 2016-09-08 Berndt Müller

Plasma turbulence involves complex, nonlinear interactions of electromagnetic fields and charged particles across multiple scales. Studying these phenomena in space plasmas, like the solar wind, is facilitated by the intrinsic scale…

In this paper a new approach to investigation of Quantum and Statistical Mechanics of the Early Universe (Planck scale) - density matrix deformation - is proposed. The deformation is understood as an extension of a particular theory by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alex E. Shalyt-Margolin

Fluctuation and correlation observables are often measured using multi-particle correlation methods and therefore mutually probe the origins of genuine correlations present in multi-particle distribution functions. We investigate the common…

Nuclear Theory · Physics 2015-06-11 Sean Gavin , George Moschelli

We investigate the origin of the density depletion and enhanced density fluctuations that occur in water in the vicinity of an extended hydrophobic solute. We argue that both phenomena are remnants of the critical drying surface phase…

Soft Condensed Matter · Physics 2022-02-09 Mary K. Coe , Robert Evans , Nigel B. Wilding

An analytic calculation is made of the effect of plasma density fluctuations on some spectroscopic diagnostics commonly used in the study of HII regions and planetary nebulae. To permit an analytic treatment, attention is restricted to the…

Solar and Stellar Astrophysics · Physics 2019-10-21 Steven R. Spangler , Brandon M. Bergerud , Kara M. Beauchamp

Both classical and respectively quantum observables can be modeled as somewhat similar examples of random variables. In such a model the associated measurements preserve the values spectrum of an observable but change the corresponding…

Statistical Mechanics · Physics 2008-03-20 S. Dumitru , A. Boer

Studies on finite-size plasma have attracted a lot of attention lately. They can form by ionizing liquid droplets by lasers. The dynamical behavior of such plasma droplets is, therefore, a topic of significant interest. In particular,…

Plasma Physics · Physics 2024-08-05 Subhasish Bag , Vikrant Saxena , Amita Das

When the vacuum fluctuation pressure is calculated directly from fundamental principles of quantum field theory, in the same manner as vacuum fluctuation energy density is commonly calculated, one finds it is not equal to the negative of…

General Physics · Physics 2007-11-05 Robert D. Klauber

The standard model of large scale structure is considered, in which the structure originates as a Gaussian adiabatic density perturbation with a nearly scale invariant spectrum. The basic theoretical tool of cosmological perturbation theory…

Astrophysics · Physics 2007-05-23 David H Lyth , Andrew R Liddle