ABSTRACT Dynamical friction arises from the interaction of a perturber and the gravitational wake it excites in the ambient medium. This interaction is usually derived assuming that the perturber has a constant velocity. In realistic situations, motion is accelerated as for instance by dynamical friction itself. Here, we study the effect of acceleration on the dynamical friction force. We chara...

Hot Jupiters, giant extrasolar planets with orbital periods shorter than ∼10 days, have long been thought to form at large radial distances, only to subsequently experience long-range inward migration. Here, we offer the contrasting view that a substantial fraction of the hot Jupiter population formed in situ via the core-accretion process. We show that under conditions appropriate to the inner...

Abstract. We strengthen the usual Csiszár-Kullback-Pinsker inequality by allowing weights in the total variation norm; admissible weights depend on the decay of the reference probability measure. We use this result to derive transportation inequalities involving Wasserstein distances for various exponents: in particular, we recover the equivalence between a T1 inequality and the existence of a ...

Previous research on the solutions of two-point boundary value problems is applied to spacecraft formation dynamics and design. The underlying idea is to model the motion of a spacecraft formation as a Hamiltonian dynamic system in the vicinity of a reference solution. Then the nonlinear phase flow can be analytically described using generating functions found by solving the Hamilton–Jacobi equ...

Social and economic systems consist of complex interactions among its members. Their behaviors become adaptive according to changing environment. In many cases, an individual’s behaviors can be modeled by a stimulus-response system in a dynamic environment. In this paper, we use the Iterated Prisoner’s Dilemma (IPD) game, which is a simple model to deal with complex problems for dynamic systems...

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of the noise-to-signal ratio of Wilson loops. We explain why the correct continuum potential is obtained and show numerical evidence that the cut-off effects ar...

Two decades after the discovery of 51Pegb, the formation processes and atmospheres of short-period gas giants remain poorly understood. Observations of eccentric systems provide key insights on those topics as they can illuminate how a planet’s atmosphere responds to changes in incident flux. We report here the analysis of multi-day multi-channel photometry of the eccentric (e 0.93 ~ ) hot Ju...

We will explain the subject in a little more detail while briefly describing the organization of the paper. In order to be more precise, let B 2 denote the unit Euclidean ball in R. For a symmetric convex body K ⊂ R let N(K, εB 2 ) be the smallest number of Euclidean balls of radius ε needed to cover K, and finally let M∗(K) be a half of the mean width of K (see (2.1) and (2.2) below). Section ...

Dynamical systems with large state-spaces are often expensive to thoroughly explore experimentally. Coarse-graining methods aim to define simpler systems which are more amenable to analysis and exploration; most current methods, however, focus on a priori state aggregation based on similarities in transition rates, which is not necessarily reflected in similar behaviours at the level of traject...

We consider (2+1)-dimensional Yang-Mills theory on S × S × R with Euclidean metric, following the planar case (on R) developed by Karabali, Kim and Nair. The deconfining limit of the theory can be discussed in terms of one of the S radii, while the other goes to infinity. We find that the limit agrees with the previously known result for a dynamical propagator mass for gluons. We also make comp...