arXiv subjects

T. Foglizzo

Publications and source records attributed to T. Foglizzo.

At least 19 recordsLinked to original sources

arXiv2026

Analytic insight into the physics of SASI II. Spiral instability of the prograde mode in a rotating stellar core

During the core-collapse of a rotating massive star, the standing accretion shock instability (SASI) favours the development of non-axisymmetric motions which can imprint specific frequency signatures on the neutrino and gravitational wave signals.This study establishes analytical approximations for the eigenfrequencies of the dominant SASI modes. It also explains the physical mechanism responsible for the further destabilization of prograde SASI modes by differential rotation. A perturbative analysis is used to calculate the eigenfrequencies of a stalled accretion shock in spherical geometry, taking into account the rotation of the collapsing stellar core. The formulation of the perturbative equations as a self-forced oscillator is extended to include differential rotation and interpret the results physically. The oscillation frequency of the dominant mode weakly depends on the detailed formulation of neutrino emission if the shock radius exceeds ~1.5 times the radius r_nabla of maximum deceleration. Analytical expressions are obtained for the one and two-armed spiral modes with a 10% accuracy in this regime. The effect of differential rotation is explained by the role of phase mixing between the advective forcing and the acoustic structure. The radial wavelength of vorticity perturbations associated with the prograde mode is increased by differential rotation, leading to a better phase match with the large radial scale of the acoustic structure. Even when rotation is too modest to involve a corotation radius, its adverse effect on phase mixing can be significant at small radius due to the steep inward increase of the rotation frequency ~1/r^2 in the region of stationary accretion. In the regime of faster rotation involving a corotation radius, the stationary phase approximation sheds light on the dominant advective-acoustic coupling, located between the corotation zone and the shock.

astro-ph.HE↗

arXiv2025

Is convective turbulence the only exciting mechanism of global p modes in the Sun?

In solar-like oscillators, acoustic waves are excited by turbulent motion in the convective envelope and propagate inward, generating a variety of standing pressure modes. When combining together the power of several solar acoustic modes, an excess not compatible with pure stochastic excitation was found in some studies. This could be the signature of a second mode excitation source. With over 27 years of helioseismic data from the Sun as a star observations by the Solar and Heliospheric Observatory (SoHO), we aim to study the variation in mode energy over this period, covering solar Cycles 23, 24, and the beginning of Cycle 25. We focus on the possible sources of high peaks in the mode-energy time series, i.e. instrumental problems or other exciting mechanisms, such as flares or Coronal Mass Ejections. We reconstruct the energy time series for each mode with a sampling time of 1.45 days. By combining the small-time-scale variations in energy for several low-degree modes in the 2090-3710uHz range, we study the correlation between the modes and their compatibility with the hypothesis that modes are only stochastically excited by convection. The observed excitation rate significantly deviates from what would be expected in the case of a purely stochastic excitation. Our results indicate that this energy excess cannot be only attributed to instrumental effects and does not exhibit a cyclic variation. Although high-energy excesses are occasionally associated with observations of flares or CMEs, no consistent pattern could be identified. The excitation is slightly more frequent for modes probing the upper layer of the convective zone. Furthermore, the energy supply rate seems to vary over time with the mean value following a modulation that can match the Quasi-Biennial Oscillation (QBO) observed in other solar indicators, and the variance being anti-correlated with the cycle.

astro-ph.SR↗

arXiv2024

Solar p-modes excitation rate along the magnetic activity cycle

Magnetic cycles of solar-like stars influence their internal physics. Thus, the frequency, amplitude, excitation rate, and damping of the acoustic oscillation modes (p-modes) vary with the cycle over time. We need to understand the impact of magnetic activity on p-modes in order to characterise precisely stars that will be observed by the ESA PLATO mission, to be launched late 2026 with the objective to find Earth-like planets around solar-type stars. In this work, we investigate the variation of mode excitation in the Sun during Cycles 23, 24 and the beginning of Cycle 25. To do so, we analyse data obtained since 1996 by two instruments onboard the SoHO satellite: the GOLF spectrometer and the VIRGO sunphotometer. We use a method enabling us to reach a better temporal resolution than classical methods. Combining the variations of energy for several modes l=[0-2] in three frequency bands (i.e. [1800, 2450], [2450, 3110], [3110, 3790] {\mu}Hz), our preliminary results show that more energy is associated to several modes during cycle minima, suggesting that there could be a second source of excitation other than turbulent convection that would excite several modes at a time during solar minima.

astro-ph.SR↗

arXiv2024

Analytic insight into the physics of SASI I. Shock instability in a non-rotating stellar core

During the core collapse of a massive star just before its supernova explosion, the amplification of asymmetric motions by the standing accretion shock instability (SASI) imprints on the neutrino flux and the gravitational waves a frequency signature carrying direct information on the explosion process. The physical interpretation of this multi-messenger signature requires a detailed understanding of the instability mechanism. A perturbative analysis is used to characterize the properties of SASI, and assess the effect of the region of neutronization above the surface of the proto-neutron star. The eigenfrequencies of the most unstable modes are compared to those obtained in an adiabatic approximation where neutrino interactions are neglected above the neutrinosphere. The differential system is solved analytically using a Wronskian method and approximated asymptotically for a large shock radius. The oscillation period of SASI is well fitted with a simple analytic function of the shock radius, the radius of maximum deceleration and the mass of the proto-neutron star. The oscillation period is weakly dependent on the parametrized cooling function which however affects the SASI growth rate. The general properties of SASI eigenmodes are described using an adiabatic model. In this approximation the eigenvalue problem is formulated as a self-forced oscillator. The forcing agent is the radial advection of baroclinic vorticity perturbations and entropy perturbations produced by the shock oscillation. The differential system defining the eigenfrequencies is reduced to a single integral equation. Its analytical approximation sheds light on the radially extended character of the region of advective-acoustic coupling. The simplicity of this adiabatic formalism opens new perspectives to investigate the effect of stellar rotation and non-adiabatic processes on SASI.

astro-ph.HE↗

arXiv2023

Effect of stellar rotation on the development of post-shock instabilities during core-collapse supernovae

The growth of instabilities is key to trigger a supernova explosion during the phase of stalled shock, immediately after the birth of a proto-neutron star (PNS). We assess the effect of stellar rotation on neutrino-driven convection and SASI when neutrino heating is taken into account. Rotation affects the frequency of the mode m=2 detectable with gravitational waves (GW). We use a linear stability analysis in the equatorial plane between the PNS and the stationary shock and consider a large range of specific angular momenta, neutrino luminosities and mass accretion rates. The nature of the dominant instability depends on the convection parameter chi and the rotation rate. Convective modes with chi>=5 are hampered by differential rotation. At smaller chi, however, mixed SASI-convective modes with a large angular scale m=1,2,3 benefit from rotation and become dominant for relatively low rotation rates at which centrifugal effects are small. For rotation rates >0.3 Keplerian rotation at the PNS surface (KPNS), the growth rate of the dominant mode depends weakly on neutrino heating which highlights a new instability regime. Its frequency is surprisingly independent of the heating rate, with a strong prograde spiral m=2 dominating over a large parameter range, favourable to the production of GW. A simple linear relation exists between the dominant oscillation frequency and the specific angular momentum. Three regimes are distinguished. For rotation rates <0.1KPNS, differential rotation has a quadratic effect on equatorial purely convective modes and a linear destabilizing effect on SASI. Intermediate rotation rates (0.1 to 0.3KPNS) lead to the emergence of mixed SASI/convection/rotation modes involving large angular scales. Finally, strong rotation erases the influence of buoyancy on the instability. This allows for a reduction of the parameter space, which is valuable for GW analysis.

astro-ph.HE↗

arXiv2021

Impact of rotation on the evolution of convective vortices in collapsing stars

We study the impact of rotation on the hydrodynamic evolution of convective vortices during stellar collapse. Using linear hydrodynamics equations, we study the evolution of the vortices from their initial radii in convective shells down to smaller radii where they are expected to encounter the supernova shock. We find that the evolution of vortices is mainly governed by two effects: the acceleration of infall and the accompanying speed up of rotation. The former effect leads to the radial stretching of vortices, which limits the vortex velocities. The latter effect leads to the angular deformation of vortices in the direction of rotation, amplifying their non-radial velocity. We show that the radial velocities of the vortices are not significantly affected by rotation. We study acoustic wave emission and find that it is not sensitive to rotation. Finally, we analyze the impact of the corotation point and find that it has a small impact on the overall acoustic wave emission.

astro-ph.SR↗

arXiv2016

The Deep and Transient Universe in the SVOM Era: New Challenges and Opportunities - Scientific prospects of the SVOM mission

To take advantage of the astrophysical potential of Gamma-Ray Bursts (GRBs), Chinese and French astrophysicists have engaged the SVOM mission (Space-based multi-band astronomical Variable Objects Monitor). Major advances in GRB studies resulting from the synergy between space and ground observations, the SVOM mission implements space and ground instrumentation. The scientific objectives of the mission put a special emphasis on two categories of GRBs: very distant GRBs at z$>$5 which constitute exceptional cosmological probes, and faint/soft nearby GRBs which allow probing the nature of the progenitors and the physics at work in the explosion. These goals have a major impact on the design of the mission: the on-board hard X-ray imager is sensitive down to 4 keV and computes on line image and rate triggers, and the follow-up telescopes on the ground are sensitive in the NIR. At the beginning of the next decade, SVOM will be the main provider of GRB positions and spectral parameters on very short time scale. The SVOM instruments will operate simultaneously with a wide range of powerful astronomical devices. This rare instrumental conjunction, combined with the relevance of the scientific topics connected with GRB studies, warrants a remarkable scientific return for SVOM. In addition, the SVOM instrumentation, primarily designed for GRB studies, composes a unique multi-wavelength observatory with rapid slew capability that will find multiple applications for the whole astronomy community beyond the specific objectives linked to GRBs. This report lists the scientific themes that will benefit from observations made with SVOM, whether they are specific GRB topics, or more generally all the issues that can take advantage of the multi-wavelength capabilities of SVOM.

astro-ph.IM↗

arXiv2008

A simple toy model of the advective-acoustic instability I. Perturbative approach

Some general properties of the advective-acoustic instability are described and understood using a toy model which is simple enough to allow for analytical estimates of the eigenfrequencies. The essential ingredients of this model, in the unperturbed regime, are a stationary shock and a subsonic region of deceleration. For the sake of analytical simplicity, the 2D unperturbed flow is parallel and the deceleration is produced adiabatically by an external potential. The instability mechanism is determined unambiguously as the consequence of a cycle between advected and acoustic perturbations. The purely acoustic cycle, considered alone, is proven to be stable in this flow. Its contribution to the instability can be either constructive or destructive. A frequency cut-off is associated to the advection time through the region of deceleration. This cut-off frequency explains why the instability favours eigenmodes with a low frequency and a large horizontal wavelength. The relation between the instability occurring in this highly simplified toy model and the properties of SASI observed in the numerical simulations of stellar core-collapse is discussed. This simple set up is proposed as a benchmark test to evaluate the accuracy, in the linear regime, of numerical simulations involving this instability. We illustrate such benchmark simulations in a companion paper.

astro-ph↗

arXiv2007

Multidimensional supernova simulations with approximative neutrino transport. II. Convection and the advective-acoustic cycle in the supernova core

By 2D hydrodynamic simulations including a detailed equation of state and neutrino transport, we investigate the interplay between different non-radial hydrodynamic instabilities that play a role during the postbounce accretion phase of collapsing stellar cores. The convective mode of instability, which is driven by negative entropy gradients caused by neutrino heating or by time variations of the shock strength, can be identified clearly by the development of typical Rayleigh-Taylor mushrooms. However, in cases where the gas in the postshock region is rapidly advected towards the gain radius, the growth of such a buoyancy instability can be suppressed. In such a situation the shocked flow nevertheless can develop non-radial asymmetry with an oscillatory growth of the amplitude. This phenomenon has been termed ``standing accretion shock instability'' (SASI). It is shown here that the SASI oscillations can trigger convective instability and like the latter they lead to an increase of the average shock radius and of the mass in the gain layer. Both hydrodynamic instabilities in combination stretch the advection time of matter through the neutrino-heating layer and thus enhance the neutrino energy deposition in support of the neutrino-driven explosion mechanism. A rapidly contracting and more compact nascent NS turns out to be favorable for explosions, because the accretion luminosity and neutrino heating are larger and the growth rate of the SASI is higher. Moreover, we show that the oscillation period of the SASI and a variety of other features in our simulations agree with estimates for the advective-acoustic cycle (AAC), in which perturbations are carried by the accretion flow from the shock to the neutron star and pressure waves close an amplifying global feedback loop. (abridged)

astro-ph↗

arXiv2006

Instability of a stalled accretion shock: evidence for the advective-acoustic cycle

We analyze the linear stability of a stalled accretion shock in a perfect gas with a parametrized cooling function L ~ rho^{beta-alpha} P^alpha. The instability is dominated by the l=1 mode if the shock radius exceeds 2-3 times the accretor radius, depending on the parameters of the cooling function. The growth rate and oscillation period are comparable to those observed in the numerical simulations of Blondin & Mezzacappa (2006). The instability mechanism is analyzed by separately measuring the efficiencies of the purely acoustic cycle and the advective-acoustic cycle. These efficiencies are estimated directly from the eigenspectrum, and also through a WKB analysis in the high frequency limit. Both methods prove that the advective-acoustic cycle is unstable, and that the purely acoustic cycle is stable. Extrapolating these results to low frequency leads us to interpret the dominant mode as an advective-acoustic instability, different from the purely acoustic interpretation of Blondin & Mezzacappa (2006). A simplified characterization of the instability is proposed, based on an advective-acoustic cycle between the shock and the radius r_nabla where the velocity gradients of the stationary flow are strongest. The importance of the coupling region in this mechanism calls for a better understanding of the conditions for an efficient advective-acoustic coupling in a decelerated, nonadiabatic flow, in order to extend these results to core-collapse supernovae.

astro-ph↗

arXiv2006

Neutrino-driven convection versus advection in core collapse supernovae

A toy model is analyzed in order to evaluate the linear stability of the gain region immediately behind a stalled accretion shock, after core bounce. This model demonstrates that a negative entropy gradient is not sufficient to warrant linear instability. The stability criterion is governed by the ratio χof the advection time through the gain region divided by the local timescale of buoyancy. The gain region is linearly stable if χ< 3. The classical convective instability is recovered in the limit χ\gg 3. For χ>3, perturbations are unstable in a limited range of horizontal wavelengths centered around twice the vertical size H of the gain region. The threshold horizontal wavenumbers k_{min} and k_{max} follow simple scaling laws such that Hk_{min}\propto 1/χ and Hk_{max}\propto χ. The convective stability of the l=1 mode in spherical accretion is discussed, in relation with the asymmetric explosion of core collapse supernovae. The advective stabilization of long wavelength perturbations weakens the possible influence of convection alone on a global l=1 mode.

astro-ph↗

arXiv2005

The Advective-Acoustic instability in type II Supernovae

The puzzle of birth velocities of pulsars (pulsar kicks) could be solved by an asymmetric explosion of type II Supernovae. We propose a simple hydrodynamical mechanism in order to explain this asymmetry, through the advective-acoustic cycle (Foglizzo 2002) : during the phase of stalled shock, an instability based on the cycle between advected perturbations (entropy / vorticity) and acoustic perturbations can develop between the shock and the surface of the nascent neutron star. Eigenfrequencies are computed numerically, improving the calculation of Houck & Chevalier (1992). The linear instability is dominated by a mode l=1, as observed in the numerical simulations of Blondin et al. (2003) and Scheck et al. (2004). The frequency dependence of the growth rate reveals the presence of the advective-acoustic cycle.

astro-ph↗

arXiv2005

A fresh look at the unstable simulations of Bondi-Hoyle-Lyttleton accretion

The instability of Bondi-Hoyle-Lyttleton accretion, observed in numerical simulations, is analyzed through known physical mechanisms and possible numerical artefacts. The mechanisms of the longitudinal and transverse instabilities, established within the accretion line model, are clarified. They cannot account for the instability of BHL accretion at moderate Mach number when the pressure forces within the shock cone are taken into account. The advective-acoustic instability is considered in the context of BHL accretion when the shock is detached from the accretor. This mechanism naturally explains the stability of the flow when the shock is weak, and the instability when the accretor is small. In particular, it is a robust proof of the instability of 3D accretion when gamma=5/3 if the accretor is small enough, even for moderate shock strength (M sim 3). The numerical artefacts that may be present in existing numerical simulations are reviewed, with particular attention paid to the advection of entropy/vorticity perturbations and the artificial acoustic feedback from the accretor boundary condition. Several numerical tests are proposed to test these mechanisms.

astro-ph↗

arXiv2002

Non-radial instabilities of isothermal Bondi accretion with a shock: vortical-acoustic cycle vs post-shock acceleration

The linear stability of isothermal Bondi accretion with a shock is studied analytically in the asymptotic limit of high incident Mach number M_1. The flow is unstable with respect to radial perturbations as expected by Nakayama (1993), due to post-shock acceleration. Its growth time scales like the advection time from the shock r_sh to the sonic point r_son. The growth rate of non-radial perturbations l=1 is higher by a factor M_1^{2/3}, and is therefore intermediate between the advection and acoustic frequencies. Besides these instabilities based on post-shock acceleration, our study revealed another generic mechanism based on the cycle of acoustic and vortical perturbations between the shock and the sonic radius, independently of the sign of post-shock acceleration. The vortical-acoustic instability is fundamentally non-radial. It is fed by the efficient excitation of vorticity waves by the isothermal shock perturbed by acoustic waves. The growth rate exceeds the advection rate by a factor log M_1. Unstable modes cover a wide range of frequencies from the fundamental acoustic frequency ~c/r_sh up to a cut-off ~c/r_son associated with the sonic radius. The highest growth rate is reached for l=1 modes near the cut-off. The additional cycle of acoustic waves between the shock and the sonic radius is responsible for variations of the growth rate by a factor up to 3 depending on its phase relative to the vortical-acoustic cycle. The instability also exists, with a similar growth rate, below the fundamental acoustic frequency down to the advection frequency, as vorticity waves are efficiently coupled to the region of pseudosound. These results open new perspectives to address the stability of shocked accretion flows.

astro-ph↗

arXiv2001

Entropic-acoustic instability of shocked Bondi accretion I. What does perturbed Bondi accretion sound like ?

In the radial flow of gas into a black hole (i.e. Bondi accretion), the infall of any entropy or vorticity perturbation produces acoustic waves propagating outward. The dependence of this acoustic flux on the shape of the perturbation is investigated in detail. This is the key process in the mechanism of the entropic-acoustic instability proposed by Foglizzo & Tagger (2000) to explain the instability of Bondi-Hoyle-Lyttleton accretion. These acoustic waves create new entropy and vorticity perturbations when they reach the shock, thus closing the entropic-acoustic cycle. With an adiabatic index 1<gamma<=5/3, the linearized equations describing the perturbations of the Bondi flow are studied analytically and solved numerically. The fundamental frequency of this problem is the cut-off frequency of acoustic refraction, below which ingoing acoustic waves are refracted out. This cut-off is significantly smaller than the Keplerian frequency at the sonic radius and depends on the latitudinal number l of the perturbations. When advected adiabatically inward, entropy and vorticity perturbations trigger acoustic waves propagating outward, with an efficiency which is highest for non radial perturbations l=1. The outgoing acoustic flux produced by the advection of vorticity perturbations is always moderate and peaks at rather low frequency. By contrast, the acoustic flux produced by an entropy wave is highest close to the refraction cut-off. It can be very large if gamma is close to 5/3. These results suggest that the shocked Bondi flow with gamma=5/3 is strongly unstable with respect to the entropic-acoustic mechanism.

astro-ph↗

arXiv2000

Entropic-Acoustic instability in shocked accretion flows

A new instability mechanism is described in accretion flows where the gas is accelerated from a stationary shock to a sonic surface. The instability is based on a cycle of acoustic and entropic waves in this subsonic region of the flow. When advected adiabatically inward, entropy perturbations trigger acoustic waves propagating outward. If a shock is present at the outer boundary, acoustic waves reaching the shock produce new entropy perturbations, thus creating an entropic-acoustic cycle between the shock and the sonic surface. The interplay of acoustic and entropy perturbations is estimated analytically using a simplified model based on the compact nozzle approximation. According to this model, the entropic-acoustic cycle is unstable if the sound speed at the sonic surface significantly exceeds the sound speed immediately after the shock. The growth rate scales like the inverse of the advection time from the outer shock to the sonic point. The frequency of the most unstable perturbations is comparable to the refraction cutoff, defined as the frequency below which acoustic waves propagating inward are significantly refracted outward. This generic mechanism should occur in Bondi-Hoyle-Lyttleton accretion, and also in shocked accretion discs.

astro-ph↗

arXiv1999

An analytic study of Bondi-Hoyle-Lyttleton accretion

The adiabatic shock produced by a compact object moving supersonically relative to a gas with uniform entropy and no vorticity is a source of entropy gradients and vorticity. We investigate these analytically. The non-axisymmetric Rayleigh-Taylor and axisymmetric Kelvin-Helmholtz linear instabilities are potential sources of destabilization of the subsonic accretion flow after the shock. A local Lagrangian approach is used in order to evaluate the efficiency of these linear instabilities. However, the conditions required for such a WKB type approximation are fulfilled only marginally: a quantitative estimate of their local growth rate integrated along a flow line shows that their growth time is at best comparable to the time needed for advection onto the accretor, even at high Mach number and for a small accretor size. Despite this apparently low efficiency, several features of these mechanisms qualitatively match those observed in numerical simulations: in a gas with uniform entropy, the instability occurs only for supersonic accretors. It is nonaxisymmetric, and begins close to the accretor in the equatorial region perpendicular to the symmetry axis. The mechanism is more efficient for a small, highly supersonic accretor, and also if the shock is detached. We also show by a 3-D numerical simulation an example of unstable accretion of a subsonic flow with non-uniform entropy at infinity. This instability is qualitatively similar to the one observed in 3-D simulations of the Bondi-Hoyle-Lyttleton flow, although it involves neither a bow shock nor an accretion line.

astro-ph↗

arXiv1997

Are Solar Acoustic Modes Correlated ?

We have studied the statistical properties of the energy of individual acoustic modes, extracted from 310 days of GOLF data near the solar minimum. The exponential distribution of the energy of each mode is clearly seen. The modes are found to be uncorrelated with a +-0.6 % accuracy, thus supporting the hypothesis of stochastic excitation by the solar convection. Nevertheless, the same analysis performed on the same modes just before the solar maximum, using IPHIR data, rejects the hypothesis of no correlation at a 99.3 % confidence level. A simple model suggests that 31.3 +-9.4 % of the energy of each mode is coherent among the modes studied in IPHIR data, correponding to a mean correlation of 10.7 +-5.9 %.

astro-ph↗