Standardized cumulants of flow harmonic fluctuations

Heat fluctuations for harmonic oscillators

– Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider the case of a periodic forcing of the oscillator, and we calculate the analytic probability density function of heat fluctuations. The limit of large time is...

evaluating the groundwater fluctuations with fuzzy standardized evapoprecipitation index (sepi)

in recent decades, neyshabour basin as a semi-arid climate has faced with dramatic increasing of groundwater withdrawal. so, water demand management is important in this basin. in this study, the effects of evapotranspiration and rainfall on groundwater fluctuations have been considered with 22 rain gage and evaporation gage station data during 1973-2006. the average amount of rainfall and evap...

Correlation Functions and Cumulants in Elliptic Flow Analysis

We consider various methods of flow analysis in heavy ion collisions and compare experimental data on corresponding observables to the predictions of our saturation model proposed earlier [1]. We demonstrate that, due to the nature of the standard flow analysis, azimuthal distribution of particles with respect to reaction plane determined from the second order harmonics should always be proport...

Flow and Fluctuations of Glaciers

Cumulants, free cumulants and half-shuffles.

Free cumulants were introduced as the proper analogue of classical cumulants in the theory of free probability. There is a mix of similarities and differences, when one considers the two families of cumulants. Whereas the combinatorics of classical cumulants is well expressed in terms of set partitions, that of free cumulants is described and often introduced in terms of non-crossing set partit...