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This thesis consists of two separate parts: in each we study the stability under small perturbations of certain probability models in different contexts. In the first, we study small random perturbations of a deterministic dynamical system…

概率论 · 数学 2017-03-21 Santiago Saglietti

Gravitational instabilities play an important role in galaxy evolution and in shaping the interstellar medium (ISM). The ISM is observed to be highly turbulent, meaning that observables like the gas surface density and velocity dispersion…

星系天体物理 · 物理学 2015-06-23 Oscar Agertz , Alessandro B. Romeo , Kearn Grisdale

Shocks in granular media, such as vertically oscillated beds, have been shown to develop instabilities. Similar jet formation has been observed in explosively dispersed granular media. Our previous work addressed this instability by…

流体动力学 · 物理学 2014-07-17 Nick Sirmas , Sam Falle , Matei Radulescu

We consider stability of differentially rotating non-magnetic proto-neutron stars. When neutrino transport is efficient, the star can be subject to a diffusive instability that can occur even in the convectively stable region. The…

天体物理学 · 物理学 2009-11-13 V. Urpin

In this note, we consider the dynamics associated to an epsilon-perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following result of "micro-diffusion": under…

动力系统 · 数学 2015-01-12 Abed Bounemoura , Vadim Kaloshin

Due to the existence of multiple stationary distributions, we study the stability and instability of a stationary distribution for distribution dependent stochastic differential equations. This note is devoted to the instability of a…

概率论 · 数学 2025-10-07 Shao-Qin Zhang

The problem of the dynamical stability of anistropic systems is studied, by proposing a criterion in terms of the adiabatic local index $\gamma$. The result has general validity and can be applied to several physical situations.…

广义相对论与量子宇宙学 · 物理学 2019-02-14 Giuseppe Alberti , Marco Merafina

We consider two minimal models of active fluid droplets that exhibit complex dynamics including steady motion, deformation, rotation and oscillating motion. First we consider a droplet with a concentration of active contractile matter…

软凝聚态物质 · 物理学 2016-12-20 Carl A. Whitfield , Rhoda J. Hawkins

We derive a variational principle for the dynamical stability of a cluster as a gas sphere in a box. Newtonian clusters are always dynamically stable and, for relativistic clusters, the relation between dynamical and thermodynamical…

天体物理学 · 物理学 2008-11-26 Gennady S. Bisnovatyi-Kogan , Marco Merafina

A theory of the macroturbulent instability in the system containing vortices of opposite directions (vortices and antivortices) in hard superconductors is proposed. The origin of the instability is connected with the anisotropy of the…

超导电性 · 物理学 2015-06-24 L. M. Fisher , T. H. Johansen , A. L. Rakhmanov , A. A. Levchenko , V. A. Yampol'skii

The lattice dynamics of the metallic tin {\beta} and {\gamma} polymorphs has been studied by a combination of diffuse scattering, inelastic x-ray scattering and density functional perturbation theory. The non-symmorphic space group of the…

A linear analysis of baroclinic instability in a stellar radiation zone with radial differential rotation is performed. The instability onsets at a very small rotation inhomogeneity. There are two families of unstable disturbances…

太阳与恒星天体物理 · 物理学 2015-06-17 L. L. Kitchatinov

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

等离子体物理 · 物理学 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

Microtubules capture chromosomes during mitosis by stochastically switching between growth and shrinkage at catastrophe events. They display strikingly rich biochemistry and dynamics, regulated by a stabilizing cap with distinct…

生物物理 · 物理学 2026-04-07 Chongbin Zheng , Jaime Agudo-Canalejo , Jonathon Howard , Evelyn Tang

In this letter we describe a new micro-bunching instability occurring in charged particle beams propagating along a straight trajectory: based on the dynamics we named it a Plasma Cascade Instability.

Recently van der Meer et al. studied the breakdown of a granular cluster (Phys. Rev. Lett. {\bf 88}, 174302 (2002)). We reexamine this problem using an urn model, which takes into account fluctuations and finite-size effects. General…

统计力学 · 物理学 2009-11-07 Francois Coppex , Michel Droz , Adam Lipowski

Dynamical instability is shown to occur in differentially rotating polytropes with N = 3.33 and $T/|W| \gtrsim 0.14$. This instability has a strong m=1 mode, although the m=2, 3, and 4 modes also appear. Such instability may allow a…

天体物理学 · 物理学 2009-10-31 Joan M. Centrella , Kimberly C. B. New , Lisa L. Lowe , J. David Brown

We consider the stability of a system of equations which are a singular perturbation of the incompressible rigid-plastic flow equations used to model granular flow. A linear stability analysis shows that solutions of these equations are…

软凝聚态物质 · 物理学 2007-05-23 Shaun Hendy

Quantum fluctuations in the mazer are considered, arising either from the atomic motion or from the quantized intracavity field. Analytical results, for both the meza and the hyperbolic secant mode profile, predict for example an…

量子物理 · 物理学 2009-11-13 Jonas Larson

A dynamic mitigation mechanism for instability growth was proposed and discussed in the paper [Phys. Plasmas 19, 024503 (2012)]. In the present paper the robustness of the dynamic instability mitigation mechanism is discussed further. The…

等离子体物理 · 物理学 2015-06-24 S. Kawata , T. Karino