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Physics Preprint PDF DOI

Scaling in Supersonic Turbulence: Energy Spectra and Fluxes using High-Fidelity Direct Numerical Simulations

Harshit Tiwari, Dhananjay Singh, Mahendra K. Verma, Rajesh Ranjan ยท 2026

Supersonic turbulence is vital to astrophysical and high-speed engineering flows, yet its energy transfer mechanisms remain poorly understood. We present high-resolution ($1024^3$) direct numerical siโ€ฆ

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AI & Data Science Preprint PDF DOI

A New Kind of Network? Review and Reference Implementation of Neural Cellular Automata

Martin Spitznagel, Janis Keuper ยท 2026

Stephen Wolfram proclaimed in his 2003 seminal work "A New Kind Of Science" that simple recursive programs in the form of Cellular Automata (CA) are a promising approach to replace currently used mathโ€ฆ

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Physics Preprint PDF DOI

Organosilane-functionalized hydrothermal-derived coatings on titanium alloys for hydrophobization and corrosion protection

S. Rahimipour, B. Rafiei, E. Salahinejad ยท 2026

This work focuses on the structure, wettability and corrosion behaviors of Ti-6Al-4V alloy after roughening treatments in different concentrations of NaOH aqueous solutions followed by low surface eneโ€ฆ

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Mathematics Preprint PDF DOI

An elementary proof of Sierksma's conjecture for seven points in the plane

Pablo Soberon ยท 2026

We give a new simple geometric proof that any seven points in the plane have four Tverberg partitions into three sets. This is the only confirmed non-trivial case of Sierksma's conjecture. Earlier proโ€ฆ

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Physics Preprint PDF DOI

Towards a Robust Estimate of the Solar Photospheric Poynting Flux and Helicity Flux

Jiayi Liu, Xudong Sun, Peter W. Schuck, Lars K. S. Daldorff ยท 2026

The observed solar photospheric magnetic fields and Doppler velocities are frequently used to quantify the Poynting flux and helicity flux. Multiple methods have been developed for this purpose, but tโ€ฆ

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Mathematics Preprint PDF DOI

\texorpdfstring{$D$}{D}-maximal many-one degrees contain least finite-one degrees

Patrizio Cintioli ยท 2026

Richter, Stephan, and Zhang asked whether every nonrecursive many-one degree contains a least finite-one degree. We prove this for every nonrecursive \ce\ many-one degree containing a $D$-maximal set.โ€ฆ

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Physics Preprint PDF DOI

Detection and analysis of white-light emission in solar flares through light curve diagnostics

Shuanghong Li, Yongliang Song, Kun Wang, Xianyong Bai, Xiao Yang, Nian Liu, Ziyao Hu ยท 2026

White-light flares (WLFs) are crucial for understanding the energy transport and heating processes in the lower solar atmosphere. Systematic studies are highly necessary. However, most WLFs are very wโ€ฆ

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AI & Data Science Preprint PDF DOI

Depth-Resolved Coral Reef Thermal Fields from Satellite SST and Sparse In-Situ Loggers Using Physics-Informed Neural Networks

Alzayat Saleh, Mostafa Rahimi Azghadi ยท 2026

Satellite sea surface temperature (SST) products underpin global coral bleaching monitoring, yet they measure only the ocean skin. Corals inhabit depths from the shallows to beyond 20 metres, where teโ€ฆ

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Physics Preprint PDF DOI

Mapping the emission and spectral properties of the FRI radio galaxy 3C 449 with LOFAR and the VLA

Luca Ricci, Luisa Ostorero, Raffaella Morganti, Judith H. Croston, Martin J. Hardcastle, Timothy W. Shimwell ยท 2026

The jets and lobes of nearby radio galaxies are ideal laboratories to explore the spectral and dynamical evolution of the radio-emitting plasma that emanates from active galactic nuclei. Here, we presโ€ฆ

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Mathematics Preprint PDF DOI

A computably enumerable many-one degree with no least finite-one degree

Patrizio Cintioli ยท 2026

Richter, Stephan, and Zhang asked whether every nonrecursive many-one degree contains a least finite-one degree. We solve this question in the negative, already within the class of computably enumerabโ€ฆ

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Physics Preprint PDF DOI

Magnetic Reconnection at Hyperbolic Flux Tube associated with a Confined Flare in NOAA Active Region 12268

Pawan Kumar, Sadashiv, Sanjay Kumar, Sushree S. Nayak, Simrat Kaur, Ramit Bhattacharya ยท 2026

In this paper, we identify the magnetic reconnections at the hyperbolic flux tube (HFT), aided by slipping reconnection at quasi-separatrix layers (QSLs), which are pivotal to the occurrence of a confโ€ฆ

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Physics Preprint PDF DOI

Daily Predictions of F10.7 and F30 Solar Indices with Deep Learning

Zhenduo Wang, Yasser Abduallah, Jason T. L. Wang, Haimin Wang, Yan Xu, Vasyl Yurchyshyn, Vincent Oria, Khalid A. Alobaid, Xiaoli Bai ยท 2026

The F10.7 and F30 solar indices are the solar radio fluxes measured at wavelengths of 10.7 cm and 30 cm, respectively, which are key indicators of solar activity. F10.7 is valuable for explaining the โ€ฆ

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AI & Data Science Preprint PDF DOI

Optimal Decay Spectra for Linear Recurrences

Yang Cao ยท 2026

Linear recurrent models offer linear-time sequence processing but often suffer from suboptimal long-range memory. We trace this to the decay spectrum: for $N$ channels, random initialization collapsesโ€ฆ

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Computer Science Preprint PDF DOI

Swiss-Bench 003: Evaluating LLM Reliability and Adversarial Security for Swiss Regulatory Contexts

Fatih Uenal ยท 2026

The deployment of large language models (LLMs) in Swiss financial and regulatory contexts demands empirical evidence of both production reliability and adversarial security, dimensions not jointly opeโ€ฆ

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Physics Preprint PDF DOI

Quantitative analysis of fluctuating hydrodynamics in uniform shear flow

Hiroyoshi Nakano, Yuki Minami ยท 2026

Many theoretical predictions in fluctuating hydrodynamics under uniform shear flow have lacked precise quantitative verification due to analytical approximations whose quantitative impacts are difficuโ€ฆ

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Mathematics Preprint PDF DOI

Determinantally Equivalent Functions Beyond the Nowhere-Zero Case

Harry Sapranidis Mantelos ยท 2026

Let $\Lambda$ be a set and $\mathbb{F}$ a field, and suppose that $K,Q:\Lambda^2\to\mathbb{F}$ are two functions such that for any $n\in\mathbb{N}$ and $x_1,x_2,\ldots,x_n\in\Lambda$, the determinantsโ€ฆ

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Mathematics Preprint PDF DOI

Close connectedness of the moduli stack of reduced curves

Sebastian Bozlee ยท 2026

We prove that the moduli stack of all reduced $n$-pointed curves is ``closely connected" in characteristic zero, in the sense that each irreducible component of the stack intersects the component of sโ€ฆ

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AI & Data Science Preprint PDF DOI

Revealing the Learning Dynamics of Long-Context Continual Pre-training

Yupu Liang, Shuang Chen, Guanwei Zhang, Shaolei Wang, Suncong Zheng ยท 2026

Existing studies on Long-Context Continual Pre-training (LCCP) mainly focus on small-scale models and limited data regimes (tens of billions of tokens). We argue that directly migrating these small-scโ€ฆ

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Physics Preprint PDF DOI

Spectroscopic Case Studies of Four Long-duration Transition-region Explosive Events

Yi'an Zhou, Xiaoli Yan, Zhike Xue, Liheng Yang, Jincheng Wang, Zhe Xu ยท 2026

This work presents a detailed spectroscopic case study of four long-duration transition-region (TR) explosive events (EEs) observed in NOAA Active Region 13213 on 2023 February 10 using the Interface โ€ฆ

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Physics Preprint PDF DOI

Waiting time distribution of solar flares from a global perspective

Yue Zhang, Rui Liu, Junyan Liu, Dong Wang ยท 2026

The waiting time statistics of solar flares provides clues for the underlying physical mechanisms. However, flares occurring on the far-side have been missing in the statistics. In the 2024 May and Juโ€ฆ

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