Pattison, Chris Vennin, Vincent Assadullahi, Hooshyar Wands, David

We study the stochastic formalism of inflation beyond the usual slow-roll approximation. We verify that the assumptions on which the stochastic formalism relies still hold even far from the slow-roll attractor. This includes demonstrating the validity of the separate universe approach to evolving long-wavelength scalar field perturbations beyond sl...

Napolitani, P. Sainte-Marie, A. Colonna, M.

Colliding heavy nuclear systems in the deep-inelastic regime may undergo partitioning into multiple fragments when fusion can not be achieved. While multiple breakups are common at Fermi energy, they are rather exotic in the deep-inelastic regime, where density, excitation and, in general, transport conditions, are expected to be different. Abundan...

heseltine, james kim, eun-jin

It is often the case when studying complex dynamical systems that a statistical formulation can provide the greatest insight into the underlying dynamics. When discussing the behavior of such a system which is evolving in time, it is useful to have the notion of a metric between two given states. A popular measure of information change in a system ...

Nekrasov, S. A. Chernoyivan, D. N.
Published in
Mathematical Models and Computer Simulations

AbstractThe article investigates the questions of calculating the dynamics of quantum gases on the basis of the stochastic interpretation of Schrödinger equation. A comparison of several appropriate methods for solve of equations of quantum mechanics – based on the method of simulating the dynamics of quantum particles as a Brownian motion, using a...

ahmad, bashir alghanmi, madeaha alsaedi, ahmed srivastava, hari. m. ntouyas, sotiris k.

In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary conditions involving a generalized integral operator. The modern techniques of functional analysis ar...

Kim, Jin Min
Published in
Journal of the Korean Physical Society

We study a random walk diffusion model under the restricted solid-on-solid (RSOS) condition in d = 3 + 1 and d = 4 + 1 dimensions. A dropped particle is allowed to take a random walk until satisfying the RSOS condition. The surface width W increases as tβ in early time with β = 0.081 ± 0.006 and becomes saturated at Lα with α = 0.29 ± 0.03 in d = 3...

Gac, Jakub M. Petelczyc, Monika
Published in
Ecological Chemistry and Engineering S

A method for the reconstruction of the dynamics of processes with discrete time, developed in our previous papers, has been applied for study the dynamics of concentration of sulfur dioxide in lower troposphere. For the analysis, recordings of sulfur dioxide concentration from four measurement stations located in Poland (two of them has been locate...

Pinol, Lucas Renaux-Petel, Sébastien Tada, Yuichiro

The stochastic approach aims at describing the long-wavelength part of quantum fields during inflation by a classical stochastic theory. It is usually formulated in terms of Langevin equations, giving rise to a Fokker-Planck equation for the probability distribution function of the fields, and possibly their momenta. The link between these two desc...

Efremov, A. N.
Published in
International Journal of Theoretical Physics

We consider a general solution of the Langevin equation describing massive fermions to an appropriate boundary problem. Assuming existence of such solution we show that its correlators coincide with the Schwinger functions of corresponding Euclidean Quantum Field Theory.

Lin, H. Croy, A Gutierrez, R Joachim, C. Cuniberti, C

Downsizing of devices opens the question of how to tune not only their electronic properties, but alsoof how to influence ‘mechanical’ degrees of freedom such as translational and rotational motions.Experimentally, this has been meanwhile demonstrated by manipulating individual molecules withe.g. current pulses from a Scanning Tunneling Microscope ...