Ethereum Stablecoin Flows Reveal Distinct Power-Law Scaling Patterns

Smart-contract-to-smart-contract flows register higher scaling exponents than transactions involving externally owned accounts, with interaction structure explaining more variance than transaction-category mix alone. The finding lands against a backdrop of stablecoin volume that, in Q2 2026, settled increasingly on cheaper rails off Ethereum.

Scaling exponents, split by account architecture

A power-law distribution means a small number of large transfers coexists with a long tail of small ones. The arXiv paper detects this in both stablecoins across the 370-million-transaction sample. Smart-contract-to-smart-contract transfers register higher scaling exponents than those mediated by externally owned accounts — higher exponents indicate thinner tails relative to scale, with fewer extreme outliers dominating the distribution. The authors attribute more of the observed variance to interaction topology than to nominal transaction category. For any framework that aggregates stablecoin flows into collateralization or liquidity-delta calculations, the consequence is direct: the exponent shifts by interaction type, and aggregate-level modeling can mask structurally different settlement patterns between an EOA user moving USDT to a centralized venue versus a contract routing USDT through a swap or bridge.

TRON's ledger, Q2 by the numbers

The Messari "State of TRON Q2 2026" report, cited by Crypto Briefing, frames the cross-chain shift. Circulating USDT on TRON closed the quarter at $87.9 billion; on Ethereum, $78.7 billion. TRON's share of tracked USDT supply stands at approximately 47.6%. Stablecoin transfers on TRON totaled $2.1 trillion for the quarter, or roughly $22.8 billion per day. Total stablecoin market cap on TRON hit $89.2 billion at quarter end. USDT accounted for 98.5% of that figure.

Throughput up, DeFi depth down

The settlement layer expanded. The application layer did not.

• Average daily transactions: 11.8 million, +8.7% QoQ
• Single-day peak: 14.6 million on June 15
• Daily active addresses: 3.6 million, +11.7% QoQ
• Protocol revenue: $699.4 million, +15.9% QoQ
• Average transaction cost: $0.65
• Total value locked: $4.4 billion, −1.9% QoQ
• DEX daily volume: $49.3 million average, −21.7% QoQ
• TRX staking rate: 48.2%, first decline in six quarters

Throughput up. Active addresses up. Revenue up. TVL down 1.9%. DEX volume down 21.7%. Staking rate down for the first time in six quarters. The fiat-equivalent float tells you where tokenized dollars settle; it does not tell you what happens to them once they arrive. On the audit and attestation side, the load-bearing variables to track through Q3 are TRON-versus-Ethereum mint and burn asymmetry, peg deviation in low-liquidity windows, and whether DEX activity recovers from the Q2 contraction.