Browse Articles

Engineering human RNase 7 with an eosinophil RNase segment reveals determinants of cytotoxic and antimicrobial activity

Positional Isomer of P3HB by Stereoselective Polymerization of Racemic α-Methyl-β-propiolactone Delivers Polyethylene-like Properties

Tissue-dependent enzymatic control of N-acetyl-β-alanine by PTER

Unlocking Structural Anisotropy by Guest-Symmetry Modulation Strategy to Achieve Giant Birefringence in Molecular Crystals

Wanted and unwanted modifications of mRNA, and their effect on gene expression and signaling

Evidence for Delocalization between <i>o</i> -Carborane and Triphenylethylene via an Alkynyl Bridge

Insights into how JIP3 and JIP4 adaptor proteins relieve the auto-inhibited form of the kinesin-1 motor

Chirality-Magnetism Coupling for Spin-Catalytic Oxygen Evolution

Estrogen promotes glycolysis through the ERα-PFKL axis in chicken hierarchical follicular granulosa cells

Ligand-Mediated Defects Unlock Fast and Regenerable CO ₂ Capture in NICS-24 Metal–Organic Framework

Peptidoglycan permease AmpG1 couples lytic transglycosylase activity to muropeptide import in Acinetobacter baumannii

Decoupling Surface Rigidity from Bulk Compliance in Elastomeric Electrolytes via Surface-Architected MXene Interphase Engineering

Ganaxolone, an approved therapy for CDKL5-deficiency disorder, is an inhibitor of PTP1B

Enantioselective B–H Insertion of Branched α-Alkyl Carbenes

Autoinhibition of the mechanosensitive lipid scramblase TMEM63B by its C-terminal tail

Zinc Halide Flux-Assisted Vitrification of Metal–Organic Frameworks Enables Chemical Diversification and Tunable Gas Sorption

Oxidative modification alters tau condensation and promotes tau-associated cytoplasmic speckle formation

Gradient-Aminated Hollow Fiber Membranes Enable Moisture-Synergized Facilitated Transport for Anesthetic Xenon Recovery

Lightweight adaptive watermarking: a hybrid approach for tamper detection on real-time images using HVS-centric algorithms and convolution attention

Circuits as a simple platform for the emergence of hydrodynamics in deterministic chaotic many-body systems

Abstract The emergence of hydrodynamics is one of the deepest phenomena in many-body systems. Arguably, the hydrodynamic equations are also the most important tools for predicting large-scale behaviour. Understanding how such equations emerge from microscopic deterministic dynamics is a century-old problem, despite recent progress in fine-tuned integrable systems. Due to the universality of hydrodynamics, the specific microscopic implementation should not matter. Here, we show that classical deterministic circuits provide a minimal, exact, and efficient platform that admits non-trivial hydrodynamic behaviour for deterministic but chaotic systems. By developing new techniques and focusing on 1D circuits as a proof of concept, we obtain the characteristic dynamics, including relaxation to Gibbs states, exact Euler equations, shocks, diffusion, and exact KPZ super-diffusion. Our methods can be easily generalised to higher dimensions or quantum circuits.