Evolution of Binaries Under Stochastic Perturbations

arXiv:2607.12011 · astro-ph.GA, astro-ph.SR, hep-ph · Submitted 2026-07-13 · Read on arXiv

Andrea Caputo, Giovanni Maria Tomaselli, Chris Hamilton

astro-ph.GA, astro-ph.SR, hep-ph

Submitted: 2026-07-13

Comments: 35 pages, 7 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Coherence Length — 7× in this paper · explained in 2 episodes
• Trace — 6× in this paper · explained in 2 episodes
• Velocity Dispersion — 5× in this paper · explained in 2 episodes
• Verification — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Consistency — 3× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Homogeneity — 2× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Distribution Shift — 1× in this paper · explained in 5 episodes
• Forward modeling — 1× in this paper · explained in 2 episodes
• Metallicity — 1× in this paper · explained in 3 episodes
• N-body simulations — 1× in this paper · explained in 2 episodes
• Population Synthesis — 1× in this paper · explained in 2 episodes
• Secular Approximation — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Gaia's binary star renaissance
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Constraining Dark Matter Substructure With Gaia Wide Binaries
• Wide binaries in ultra-faint galaxies: a window onto dark matter on the smallest scales
• Wide binaries in an ultra-faint dwarf galaxy: discovery, population modeling, and a nail in the coffin of primordial black hole dark matter
• Testing Gravity with wide binary stars like $\alpha$ Centauri
• Close Encounters of Wide Binaries Induced by the Galactic Tide: Implications for Stellar Mergers and Gravitational-Wave Sources
• Orbital evolution of LIGO/Virgo binaries in stellar clusters driven by cluster tides, stellar encounters and general relativity
• The Evolution of Wide Binary Stars
• Eccentricity dynamics of wide binaries -- II. The effect of stellar encounters and constraints on formation channels
• Stochastic tidal heating by random interactions with extended substructures
• Detecting stochastic gravitational waves with binary resonance
• Bridging the $\mu$Hz gap in the gravitational-wave landscape with binary resonance
• Rotational Brownian Motion of a Massive Binary
• The Gaia mission
• The dynamical evolution of massive black hole binaries - I. Hardening in a fixed stellar background
• Interaction of massive black hole binaries with their stellar environment: I. Ejection of hypervelocity stars
• A Statistical Solution to the Chaotic, Non-Hierarchical Three-Body Problem
• Born to be wide: the distribution of wide binaries in the field and soft binaries in clusters
• On Binary Formation from Three Initially Unbound Bodies

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