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We discuss analytic continuation as a tool to extract the cumulants of the quark number fluctuations in the strongly interacting medium from lattice QCD simulations at imaginary chemical potentials. The method is applied to $N_f = 2+1$ QCD,…

High Energy Physics - Lattice · Physics 2017-06-21 Massimo D'Elia , Giuseppe Gagliardi , Francesco Sanfilippo

In heavy-ion collisions, momentum-dependent pair correlations can be characterized by a principal component analysis (PCA), in which subleading modes are expected to reveal new information on flow fluctuations. However, we find that, as…

It is shown how high-order cumulants of net-charge distribution in hadronic collisions at LHC energies can be expressed via lower-order terms under the assumption that particle-antiparticle pairs are produced in independent local processes.…

Nuclear Theory · Physics 2020-09-15 Igor Altsybeev

We study the order parameter phase fluctuation effects in cuprate superconductors near T=0, using a quasi-two-dimensional d-wave BCS model. An effective phason theory is obtained which is used to estimate the strength of the fluctuations,…

Superconductivity · Physics 2009-10-31 Hyok-Jon Kwon , Alan T. Dorsey , P. J. Hirschfeld

The properties of the absorbing states of non-equilibrium models belonging to the conserved directed percolation universality class are studied. We find that at the critical point the absorbing states are hyperuniform, exhibiting…

Statistical Mechanics · Physics 2015-03-24 Daniel Hexner , Dov Levine

We consider linear elliptic equations in divergence form with stationary random coefficients of integrable correlations. We characterize the fluctuations of a macroscopic observable of a solution to relative order $\frac{d}{2}$, where $d$…

Analysis of PDEs · Mathematics 2019-10-25 Mitia Duerinckx , Felix Otto

We discuss fluctuating order in a quantum disordered phase proximate to a quantum critical point, with particular emphasis on fluctuating stripe order. Optimal strategies for extracting information concerning such local order from…

Strongly Correlated Electrons · Physics 2009-11-07 S. A. Kivelson , E. Fradkin , V. Oganesyan , I. P. Bindloss , J. M. Tranquada , A. Kapitulnik , C. Howald

We consider high order current cumulants in disordered systems out of equilibrium. They are interesting and reveal information which is not easily exposed by the traditional shot noise. Despite the fact that the dynamics of the electrons is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Gutman , Yuval Gefen , A. D. Mirlin

Fluctuations play a key role in the study of QCD phases. Lattice QCD is a valuable tool to calculate them, but going to high orders is challenging. Up to the fourth order, continuum results are available since 2015. We present the first…

We consider the fluctuation conductivity in the critical region of a disorder induced quantum phase transition in layered d-wave superconductors. We specifically address the fluctuation contribution to the system's conductivity in the limit…

Condensed Matter · Physics 2009-11-10 I. Tifrea , D. Bodea , I. Grosu , M. Crisan

Event-by-event \gamma-charge correlation is used in studying systems going through QCD chiral phase transition. In this paper various methods for measuring \gamma-charge correlation in heavy ion collisions have been discussed. Dynamical…

Nuclear Experiment · Physics 2015-03-19 Prithwish Tribedy , Subhasis Chattopadhyay , Aihong Tang

Thermal or finite-size scaling analyses of importance sampling Monte Carlo time series in the vicinity of phase transition points often combine different estimates for the same quantity, such as a critical exponent, with the intent to…

Statistical Mechanics · Physics 2009-04-08 Martin Weigel , Wolfhard Janke

Conserving approximations are applied to the attractive Holstein and Hubbard models (on an infinite-dimensional hypercubic lattice). All effects of nonconstant density of states and vertex corrections are taken into account in the…

Condensed Matter · Physics 2009-10-22 J. K. Freericks

Across natural and human-made systems, transition points mark sudden changes of order and are thus key to understanding overarching system features. Motivated by recent experimental observations, we here uncover an intriguing class of…

Adaptation and Self-Organizing Systems · Physics 2025-05-16 Seungjae Lee , Lennart J. Kuklinski , Marc Timme

The event-by-event fluctuations in heavy ion collisions carry information about the thermodynamic properties of the hadronic system at the time of freeze-out. By studying these fluctuations as a function of varying control parameters, such…

High Energy Physics - Phenomenology · Physics 2007-05-23 Krishna Rajagopal

We investigate the time evolution of higher order cumulants of conserved charges in a volume with the diffusion master equation. Applying the result to the diffusion of non-Gaussian fluctuations in the hadronic stage of relativistic heavy…

Nuclear Theory · Physics 2015-06-16 Masakiyo Kitazawa , Masayuki Asakawa , Hirosato Ono

We point out that the third moments of conserved charges, the baryon and electric charge numbers, and energy, as well as their mixed moments, change their signs around the QCD phase boundary in the temperature and baryon chemical potential…

High Energy Physics - Lattice · Physics 2010-11-05 Masakiyo Kitazawa , Masayuki Asakawa , Shinji Ejiri

We investigate phase separation of near-critical binary mixtures between parallel symmetric walls in the strong adsorption regime. We take into account the renormalization effect due to the critical fluctuations using the recent local…

Soft Condensed Matter · Physics 2013-08-21 Shunsuke Yabunaka , Ryuichi Okamoto , Akira Onuki

Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions…

We calculate the quadratic fluctuations of net baryon number, electric charge and strangeness as well as correlations among these conserved charges in (2+1)-flavor lattice QCD at zero chemical potential. Results are obtained using…