its core • the endpoints of everything < 8 M¤ • electron degeneracy limits WD mass to < 1.4 M¤ A ‘typical’ 0.6 solar-mass white dwarf electron degenerate C/O core (r = 8500 km) non-degenerate He layer (260 km) non-degenerate H layer (30 km) [thermal reservoir] [insulating blanket] JJ Hermes, Boston University | SAC Seminar | 5 What Do We Mean by ‘White Dwarf’?
(r = 8500 km) non-degenerate He layer (260 km) non-degenerate H layer (30 km) [thermal reservoir] [insulating blanket] JJ Hermes, Boston University | SAC Seminar | 6 White Dwarfs are Excellent for Ages: They Simply Radiate Their Stored Heat, Which is Not Replenished 65,000 K (0.001 Gyr) 25,000 K (0.02 Gyr) 13,000 K (0.31 Gyr) 10,500 K (0.56 Gyr) 7100 K (1.5 Gyr) 5100 K (5 Gyr) 3300 K (11 Gyr)
Collaboration, Babusiaux et al. 2018 • Before Gaia we knew of ~35,000 white dwarfs (mostly from SDSS) • Gentile Fusillo et al. 2019 catalog nearly half a million candidates from Gaia DR2 JJ Hermes, Boston University | SAC Seminar | 7
Co-PI: Jennifer Van Saders JJ Hermes, Boston University | SAC Seminar | 9 200 pc sample from El-Badry et al. 2018, 2021 >16,000 high-confidence, wide (>100 au) binaries with 1 WD!
JJ Hermes, Boston University | SAC Seminar | 13 Tremblay et al. 2019 DA (H-atmosphere) white dwarfs within 100 pc in Gaia • The overdensity appears better focusing only on DA white dwarfs
Onset of crystallization 80% of mass is crystallized JJ Hermes, Boston University | SAC Seminar | 14 Tremblay et al. 2019 Crystallization causes a pile-up in white dwarf cooling Predicted theoretically by Van Horn 1968
from crystallization, plus gravitational energy from 16O sedimentation JJ Hermes, Boston University | SAC Seminar | 15 Tremblay et al. 2019 This overdensity is exactly where we expect crystallization! Gaia WD Luminosity Function
is latent heat? Why does it stall cooling?) • Latent heat: extra energy required to carry out a first-order phase transition • (When smoking a brisket the moisture in the meat undergoes a 1st-order phase transition at 160F [70C] from evaporative cooling)
fuel, it will slowly form a cold, dead, super-dense crystal sphere about the size of the Earth that will linger like a translucent tombstone.” – Deborah Netburn, The Los Angeles Times JJ Hermes, Boston University | SAC Seminar | 17
Hermes, Boston University | SAC Seminar | 19 • Most (>90%) of WDs Should Cool Predictably & Eventually Crystallize, Releasing Latent Heat • We are Testing Expectations with Wide, Coeval WD+WD Binaries 65,000 K (0.001 Gyr) 25,000 K (0.02 Gyr) 13,000 K (0.31 Gyr) 10,500 K (0.56 Gyr) 7100 K (1.5 Gyr) 5100 K (5 Gyr) 3300 K (11 Gyr)
like delta Scuti p-modes) 5 min 4 min 6 min Solar p-modes BiSON; Thompson et al. 2003 2 min 3 min 4 min 5 min 6 min 10 min JJ Hermes, Boston University | SAC Seminar | 21 n
like delta Scuti p-modes) Adiabatic Model: 11,245 K, 0.632 M¤ , 10-4.12 MH /MWD (Romero et al. 2012) 2 min 3 min 4 min 5 min 6 min 10 min JJ Hermes, Boston University | SAC Seminar | 22 l=1 l=2
University | SAC Seminar | 23 The Most Studied Kepler Pulsating WD: A Hot DBV Red: Location of m=0 models of Giammichele et al. 2018 Blue: Location of m=0 models of Bischoff-Kim et al. 2014
Models Now Updated to Include Neutrino Cooling KIC 08626021: Charpinet et al. 2019 8 observed modes & many free parameters There is great potential in getting this right! Gaia CMD position infers: 0.73 ± 0.12 M¤ Black: Models of Giammichele et al. 2018 Red: Models of Charpinet et al. 2019 including neutrino cooling
8.5 8.0 Blue: K2 Pulsating WDs log(g) = 9 20,000 K 10,000 K Kepler/K2 Observed 90 Pulsating White Dwarfs Hermes et al. 2021, in prep. 81 DAV (H-atm.) WDs First 27 published in Hermes et al. 2017 Grey: All 2166 WDs 7 DBV (He-atm.) WDs Analysis in Vanderbosch et al. 2021 2 DOV (pre-WDs, C/O-atm.)
White Dwarf Seismologist’s Dilemma: Often Few Modes (consecutive g-modes evenly spaced in period, not frequency) JJ Hermes, Boston University | SAC Seminar | 29
= 2 l = 1 n = 3 SDSSJ0051+0339, g=17.6, K2 Campaign 8 White Dwarf Seismologist’s Dilemma: Often Few Modes Chris Clemens et al. in prep. Kepler and TESS makes some short-period mode identification relatively trivial JJ Hermes, Boston University | SAC Seminar | 30
100 150 200 250 300 350 400 450 Mode Period (s) N l = 1 n = 1 l = 1 n = 2 l = 1 n = 3 n = 1 n = 2 n = 3 n = 4 If we only plot identified l=1 (m=0) modes: White Dwarf Seismologist’s Dilemma: Often Few Modes Chris Clemens et al. in prep. JJ Hermes, Boston University | SAC Seminar | 31
100 150 200 250 300 350 400 450 Mode Period (s) N n = 1 n = 2 n = 3 n = 4 l = 1 n = 1 l = 1 n = 2 l = 1 n = 3 If we only plot identified l=1 (m=0) modes: White Dwarf Seismologist’s Dilemma: Often Few Modes Chris Clemens et al. in prep. JJ Hermes, Boston University | SAC Seminar | 32
100 150 200 250 300 350 400 450 l=1 DAV periods, observed Full evolutionary models computed by Romero et al. 2012 Chris Clemens et al. in prep. White Dwarf Seismologist’s Dilemma: Often Few Modes JJ Hermes, Boston University | SAC Seminar | 33
100 150 200 250 300 350 400 450 l=1 DAV periods, observed 0 1 2 3 4 5 6 7 8 50 100 150 200 250 300 350 400 450 0 1 2 3 4 5 6 7 8 50 100 150 200 250 300 350 400 450 l=1 random MH simulation l=1 canonical MH simulation Full evolutionary models computed by Romero et al. 2012 Only drawing from the models with canonically thick (10-4 MH /M★ ) hydrogen layers Chris Clemens et al. in prep. Most (>80%) of DAs Have Thick H Layers 10-15 s offset: Could be that He-layer masses too thick in canonical models à Would lead to systematically younger WD cooling ages (~10%) JJ Hermes, Boston University | SAC Seminar | 36
Have Strong Motivation to Keep Going with TESS Blue: TESS Pulsating WDs Grey: All 3383 WDs with T < 17 mag 7.5 8.5 8.0 log(g) = 9 20,000 K 10,000 K So Far TESS Has Detected Oscillations in 62 Pulsating WDs
| SAC Seminar | 41 Bell et al. 2019 TESS DAVs: Bognar et al. 2020 9 observed l=1 modes Gaia parallax implies a distance of 68.14 ± 0.28 pc Seismic distance, Model 2: 66.5 ± 2.5 pc Seismic distance, Model 1/3: 87.7 ± 7.9 pc
JJ Hermes, Boston University | SAC Seminar | 43 • Boutique Asteroseismology of WDs Still Hard, But Improving, Especially With Ensemble Approaches at Short Periods • In Many Cases, 20-second TESS Data Is Crucial • We Are Working Onwards Towards Constraining WD Core Compositions and Envelopes! 65,000 K (0.001 Gyr) 25,000 K (0.02 Gyr) 13,000 K (0.31 Gyr) 10,500 K (0.56 Gyr) 7100 K (1.5 Gyr) 5100 K (5 Gyr) 3300 K (11 Gyr)
Boston University | SAC Seminar | 46 • Models include crystallization: something else is slowing them down! • Fast kinematics suggests these have had their ages “reset”! • But why are they piling up? Cheng et al. 2019
Hermes, Boston University | SAC Seminar | 48 • Most (>90%) of WDs Should Cool Predictably & Crystallize, Releasing Latent Heat • We are Testing Expectations with Wide, Coeval WD+WD Binaries • Pile-ups among ~7% of massive WDs reveal crystallization PLUS poorly modeled physics (perhaps related to mergers & sedimentation of 22Ne clusters?) 65,000 K (0.001 Gyr) 25,000 K (0.02 Gyr) 13,000 K (0.31 Gyr) 10,500 K (0.56 Gyr) 7100 K (1.5 Gyr) 5100 K (5 Gyr) 3300 K (11 Gyr)