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We study the diffusion equation on the surface of a 4D sphere and obtain a Kubo formula for the diffusion coefficient.

Statistical Mechanics · Physics 2007-05-23 J. -M. Caillol

We study the conserved charge fluctuations, as quantified by the corresponding susceptibilities, in strongly interacting matter as motived by the quark-gluon plasma. Using the gauge-gravity correspondence approach, we study the patterns of…

High Energy Physics - Phenomenology · Physics 2013-07-05 Shuzhe Shi , Jinfeng Liao

In order to compare theoretical calculations of thermal fluctuations of conserved quantities, such as charge susceptibilities or the specific heat, to experimentally measured correlations and fluctuations in heavy ion collisions, one must…

Nuclear Theory · Physics 2017-05-31 Scott Pratt , Clint Young

We study time evolution of critical fluctuations of conserved charges near the QCD critical point in the context of relativistic heavy ion collisions. A stochastic diffusion equation is employed in order to describe the diffusion property…

Nuclear Theory · Physics 2017-06-21 Miki Sakaida , Masayuki Asakawa , Hirotsugu Fujii , Masakiyo Kitazawa

Understanding the transport behavior of quantum many-body systems constitutes an important physical endeavor, both experimentally and theoretically. While a reliable classification into normal and anomalous dynamics is known to be…

Statistical Mechanics · Physics 2025-06-11 Jiaozi Wang , Mats H. Lamann , Robin Steinigeweg , Jochen Gemmer

The drag and diffusion coefficients of a hot hadronic medium have been evaluated by using hidden charm mesons as probes. The matrix elements for the evaluation of these coefficients are calculated using an effective theory as well as from…

Nuclear Theory · Physics 2016-03-22 Sukanya Mitra , Sabyasachi Ghosh , Santosh K. Das , Sourav Sarkar , Jan-e Alam

We address the question of whether transport coefficients obtained from a unitary closed system setting, i.e., the standard equilibrium Green-Kubo formula, are the same as the ones obtained from a weakly driven nonequilibrium steady-state…

Statistical Mechanics · Physics 2019-01-25 Marko Znidaric

Collective diffusion coefficient in a one dimensional lattice gas adsorbate is calculated using variational approach. Particles interact via either a long-range, or a long range electron-gas-mediated (for a metallic substrate), or a…

Materials Science · Physics 2009-05-26 Filip Krzyżewski , Magdalena A. Załuska-Kotur

Charge balance functions reflect the evolution of charged pair correlations throughout the stages of pair production, dynamical diffusion, and hadronization in heavy-ion collisions. Microscopic modeling of these correlations in the full…

Nuclear Theory · Physics 2020-10-28 Scott Pratt , Chris Plumberg

Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are…

High Energy Physics - Theory · Physics 2014-10-13 Shira Chapman , Carlos Hoyos , Yaron Oz

We discuss various measures of net charge (conserved quantities) fluctuations proposed for the identification of critical phenomena in heavy ion collisions. We show the dynamical component of fluctuations of the net charge can be expressed…

Nuclear Experiment · Physics 2009-11-07 C. Pruneau , S. Gavin , S. Voloshin

We propose that the transverse momentum ($p_T$) differential splitting of directed flow ($\Delta v_1$) between proton and anti-proton can serve as a sensitive observable to extract the baryon diffusion coefficient ($\kappa_B$) of the hot…

Nuclear Theory · Physics 2023-05-18 Tribhuban Parida , Sandeep Chatterjee

The analysis of the response to driving in the case of weakly chaotic or weakly interacting systems should go beyond linear response theory. Due to the "sparsity" of the perturbation matrix, a resistor network picture of transitions between…

Quantum Physics · Physics 2013-01-22 Doron Cohen

We consider diffusion processes with the help of Markov random walk models. Especially the process of diffusion of a relativistic particle in a relativistic equilibrium system is considered. We interpret one of the results as causal Zeno…

Statistical Mechanics · Physics 2009-10-26 Ji-Rong Ren , Ming-fan Li , Tao Zhu

We review the recent results of heavy meson diffusion in thermal hadronic matter. The interactions of D and B-bar mesons with other hadrons (light mesons and baryons) are extracted from effective field theories based on chiral and…

Nuclear Theory · Physics 2016-02-17 Juan M. Torres-Rincon , Luciano M. Abreu , Daniel Cabrera , Olena Romanets , Laura Tolos

The drag and diffusion coefficients of a hot hadronic medium consisting of pions, kaons and eta using open beauty mesons as a probe have been evaluated. The interaction of the probe with the hadronic matter has been treated in the framework…

High Energy Physics - Phenomenology · Physics 2012-04-30 Santosh K Das , Sabyasachi Ghosh , Sourav Sarkar , Jan-e Alam

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

Analysis of PDEs · Mathematics 2012-01-06 Maria Bruna , S. Jonathan Chapman

The momentum diffusion coefficient for heavy quarks is studied in a deconfined gluon plasma in the static approximation by investigating a correlation function of the color electric field using Monte Carlo techniques. The diffusion…

High Energy Physics - Lattice · Physics 2013-05-30 Debasish Banerjee , Saumen Datta , Rajiv Gavai , Pushan Majumdar

The open dynamics of quantum many-body systems involve not only the exchange of energy, but also of other conserved quantities, such as momentum. This leads to additional decoherence, which may have a profound impact in the dynamics.…

Quantum Gases · Physics 2021-06-22 Maurício Hippert , Gabriel T. Landi , Jorge Noronha

The expressions for average densities of currents and charges induced by a weak electromagnetic field in spatially inhomogeneous systems are obtained. The case of finite temperatures is considered. It is shown that average values are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. G. Lang , L. I. Korovin , S. T. Pavlov