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11 papers · 2 filters
Path integrals for fractional Brownian motion and fractional Gaussian noise
Baruch Meerson, Olivier Bénichou, Gleb Oshanin
The Wiener's path integral plays a central role in the studies of Brownian motion. Here we derive exact path-integral representations for the more general \emph{fractional} Brownia…
k-Deformed Fourier Transform
A. M. Scarfone
We present a new formulation of Fourier transform in the picture of the -algebra derived in the framework of the -generalized statistical mechanics. The -Fourier transform…
Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average
A. M. Scarfone, H. Matsuzoe, T. Wada
We show the robustness of the structure of Legendre transform in thermodynamics against the replacement of the standard linear average with the Kolmogorov-Nagumo nonlinear average…
Mass-Zero constrained dynamics for simulations based on orbital-free density functional theory
Alessandro Coretti, Taylor J. Baird, Rodolphe Vuilleumier +1
A new algorithm for efficient and fully time-reversible integration of first-principles molecular dynamics based on orbital-free density functional theory (OFDFT) is presented. The…
Relative cluster entropy for power-law correlated sequences
A. Carbone, L. Ponta
We propose an information-theoretical measure, the \textit{relative cluster entropy} , to discriminate among cluster partitions characterised by probabili…
Macroscopic limits of non-local kinetic descriptions of vehicular traffic
Felisia Angela Chiarello, Andrea Tosin
We study the derivation of macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equation…