I use a 1-D Lagrangian code which follows both a gaseous and a dark component to study the effects of a metagalactic UV background on the formation of dwarf galaxies. In the case of an ionising background consistent with the existing observational constraints no effect has been found in halos with circular velocity above 60 km s −1. The effect is very mild in halos with 40 < V c < 60 km s −1 , ...

We investigate minimum energy paths of the quasi-linear problem with the p-Laplacian operator and a double-well potential. We adapt the String method of E., Ren, and Vanden-Eijnden (J. Chem. Phys., vol. 126 2007) to locate saddle-type solutions. In one-dimension, the String method is shown to find a minimum energy path that can align along one-dimensional “ridges” of saddle-continua. We then ap...

Escape of an overdamped particle driven by two correlated dichotomic noises (DN) from a triangle potential well is studied. A general description of statistical properties of the noises is developed in terms of master equation and correlation functions. Using the kinetics of these noises, an equation for the mean first-passage times can be deduced, which enables us to investigate the impact of ...

Inflaton field governed universe from NKK theory of gravity: stochastic approach. Abstract We study a nonperturbative single field (inflaton) governed cosmological model from a 5D Noncompact Kaluza-Klein (NKK) theory of gravity. The inflaton field fluctuations are estimated for different epochs of the evolution of the universe. We conclude that the inflaton field has been sliding down its (quad...

We study the differential equation ẍ(t) = a(t)V ′(x(t)), where V is a double-well potential with minima at x = ±1 and a(t) → l > 0 as |t| → ∞. It is proven that under certain additional assumptions on a, there exists a heteroclinic solution x to the differential equation with x(t)→ −1 as t→ −∞ and x(t) → 1 as t → ∞. The assumptions allow l − a(t) to change sign for arbitrarily large values of |...

Inflaton field governed universe from NKK theory of gravity: stochastic approach. Abstract We study a nonperturbative single field (inflaton) governed cosmological model from a 5D Noncompact Kaluza-Klein (NKK) theory of gravity. The inflaton field fluctuations are estimated for different epochs of the evolution of the universe. We conclude that the inflaton field has been sliding down its (quad...

We prove phase-space mixing for solutions to Liouville’s equation integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution function with rate ⟨time⟩−1. In one dimension, also study case where this condition fails at certain energy, showing that still holds but slower rate. When and functions have higher regularity, can be faster.

From a physical/dynamical system perspective, the potential well represents proportional mass of points that escape neighbourhood given point. In last 20 years, several works have shown importance this quantity to obtain precise approximations for recurrence time distributions in mixing stochastic processes and dynamical systems. Besides providing review different scaling factors used literatur...