Search:
Match:
2 results
Research Paper#Statistical Mechanics, Quasicrystals, Lattice-Gas Models🔬 ResearchAnalyzed: Jan 3, 2026 09:28

Quasicrystalline Gibbs States in 4D Lattice-Gas Models

Published:Dec 30, 2025 19:40
1 min read
ArXiv

Analysis

This paper presents a novel construction of a 4-dimensional lattice-gas model exhibiting quasicrystalline Gibbs states. The significance lies in demonstrating the possibility of non-periodic order (quasicrystals) emerging from finite-range interactions, a fundamental question in statistical mechanics. The approach leverages the connection between probabilistic cellular automata and Gibbs measures, offering a unique perspective on the emergence of complex structures. The use of Ammann tiles and error-correction mechanisms is also noteworthy.
Reference

“The paper constructs a four-dimensional lattice-gas model with finite-range interactions that has non-periodic, ``quasicrystalline'' Gibbs states at low temperatures.”

PermalinkArXiv
Research Paper#Sensorimotor Synchronization, Cognitive Science, Human Movement🔬 ResearchAnalyzed: Jan 3, 2026 18:31

Dynamical Incompatibilities in Finger Tapping

Published:Dec 29, 2025 18:14
1 min read
ArXiv

Analysis

This paper addresses a fundamental contradiction in the study of sensorimotor synchronization using paced finger tapping. It highlights that responses to different types of period perturbations (step changes vs. phase shifts) are dynamically incompatible when presented in separate experiments, leading to contradictory results in the literature. The key finding is that the temporal context of the experiment recalibrates the error-correction mechanism, making responses to different perturbation types compatible only when presented randomly within the same experiment. This has implications for how we design and interpret finger-tapping experiments and model the underlying cognitive processes.
Reference

“Responses to different perturbation types are dynamically incompatible when they occur in separate experiments... On the other hand, if both perturbation types are presented at random during the same experiment then the responses are compatible with each other and can be construed as produced by a unique underlying mechanism.”

PermalinkArXiv