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The theory of stochastic processes impacts both physical and social sciences. At the molecular scale, stochastic dynamics is ubiquitous because of thermal fluctuations. The Fokker-Plank-Smoluchowski equation models the time evolution of the…

Cubic phonon interactions are now regularly computed from first principles, and the quartic interactions have begun to receive more attention. Given this realistic anharmonic vibrational Hamiltonian, the classical phonon Green's function…

Materials Science · Physics 2023-11-21 Enda Xiao , Chris A. Marianetti

The relaxation function is the cornerstone to perform calculations in weakly driven processes. Properties that such a function should obey are already established, but the difficulty in its calculation is still an issue to be overcome. In…

Statistical Mechanics · Physics 2024-07-11 Pierre Nazé

This paper formalizes the use of integral and differential cumulants for measurements of multi-particle event-by-event transverse momentum fluctuations, rapidity fluctuations, as well as net charge fluctuations. This enables the…

High Energy Physics - Experiment · Physics 2023-10-12 Claude Pruneau , Victor Gonzalez , Ana Marin , Sumit Basu

The paper is devoted to the generalized wall functions of Robin-type and their application to near-wall turbulent flows. The wall functions are based on the transfer of a boundary condition from a wall to some intermediate boundary near the…

Computational Physics · Physics 2007-05-23 S. V. Utyuzhnikov

We emphasize the importance of choosing an appropriate correlation function to reduce numerical errors in calculating the linear-response function as a Fourier transformation of a time-dependent correlation function. As an example we take…

Statistical Mechanics · Physics 2009-10-30 Toshiaki Iitaka

The collective harmonic flow in heavy-ion collisions correlates particles at all transverse momenta to be emitted preferably some directions. The factorization breaking coefficient measures the small decorrelation of the flow harmonics at…

Nuclear Theory · Physics 2018-12-26 Piotr Bozek

We propose a general method for constructing system-dependent basis functions for correlated quantum chemical calculations. Our construction combines features from several traditional approaches: plane waves, localized basis functions, and…

Chemical Physics · Physics 2018-02-28 Thomas E. Baker , Kieron Burke , Steven R. White

We develop a highly efficient method to numerically simulate thermal fluctuations and correlations in non-relativistic continuous bosonic one-dimensional systems. We start by noticing the equivalence of their description through the…

Quantum Gases · Physics 2020-04-20 Stefan Beck , Igor E. Mazets , Thomas Schweigler

In this paper we provide an alternative method to compute correlation functions in the in-in formalism, with a modified set of Feynman rules to compute loop corrections. The diagrammatic expansion is based on an iterative solution of the…

High Energy Physics - Theory · Physics 2014-01-17 Marcello Musso

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

High Energy Physics - Theory · Physics 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We compute the partition function and specific heat for a quantum mechanical particle under the influence of a quartic double-well potential non-perturbatively, using the semiclassical method. Near the region of bounded motion in the…

High Energy Physics - Phenomenology · Physics 2014-07-23 D. Kroff , A. Bessa , C. A. A. de Carvalho , E. S. Fraga , S. E. Jorás

We propose a new method to study transverse flow effects in relativistic nuclear collisions by Fourier analysis of the azimuthal distribution on an event-by-event basis in relatively narrow rapidity windows. The distributions of Fourier…

High Energy Physics - Phenomenology · Physics 2011-05-05 S. Voloshin , Y. Zhang

We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the…

Quantum Physics · Physics 2015-07-20 Ofir Flom , Asher Yahalom , Haggai Zilberberg , L. P. Horwitz , Jacob Levitan

AMFlow is a Mathematica package to numerically compute dimensionally regularized Feynman integrals via the recently proposed auxiliary mass flow method. In this framework, integrals are treated as functions of an auxiliary mass parameter…

High Energy Physics - Phenomenology · Physics 2022-10-28 Xiao Liu , Yan-Qing Ma

We study the problem of estimating frequency response functions of systems of coupled, classical harmonic oscillators using a quantum computer. The functional form of these response functions can be mapped to a corresponding eigenproblem of…

Quantum Physics · Physics 2025-11-14 Sven Danz , Mario Berta , Stefan Schröder , Pascal Kienast , Frank K. Wilhelm , Alessandro Ciani

Finding the consequences of symmetry for open system quantum dynamics is a problem with broad applications, including describing thermal relaxation, deriving quantum limits on the performance of amplifiers, and exploring quantum metrology…

Quantum Physics · Physics 2015-06-18 Iman Marvian , Robert W. Spekkens

The computation of the two-point correlation form factor K(t) is performed for a rectangular billiard with a small size impurity inside for both periodic or Dirichlet boundary conditions. It is demonstrated that all terms of perturbation…

Chaotic Dynamics · Physics 2009-11-07 E. Bogomolny , O. Giraud

We investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime. We show that when the tunneling doublet is quantized over a classical non-linear resonance the tunneling…

chao-dyn · Physics 2009-10-31 Luca Bonci , Andrea Farusi , Paolo Grigolini , Roberto Roncaglia

Fractal percolation exhibits a dramatic topological phase transition, changing abruptly from a dust-like set to a system spanning cluster. The transition points are unknown and difficult to estimate. In many classical percolation models the…

Probability · Mathematics 2026-01-14 Michael A. Klatt , Steffen Winter