Slowdown and saturation of internal time according to the statistics of information input: a minimal model of response systemsWe consider a response system that updates its internal state in accordance with information input arriving from outside. In this paper, we define as internal time the ``number of kinds'' of codes…Tatsuaki Tsuruyama·Jan 10, 2026SaveLearn
Level set-based topology optimization of micropolar solids under thermo-mechanical loadingWe propose a novel level set-based topology optimization for micropolar solids subjected to thermo-mechanical loading. To capture the size effects, we have incorporated the microstructural…Mayank Shekhar, Ayyappan Unnikrishna Pillai, Subhayan De et al.·Jan 9, 2026SaveLearn
A constrained-transport embedded boundary method for compressible resistive magnetohydrodynamicsMotivated by the increased interest in pulsed-power magneto-inertial fusion devices in recent years, we present a method for implementing an arbitrarily shaped embedded boundary on a Cartesian mesh…Samuel W. Jones, Colin P. McNally, Meritt Reynolds·Jan 7, 2026SaveLearn
Accelerated simulation of multiscale gas-radiation coupling flows via a general synthetic iterative schemeGas-radiation coupling critically influences hypersonic reentry flows, where extreme temperatures induce pronounced non-equilibrium gas and radiative heat transport. Accurate and efficient simulation…Jianan Zeng, Qi Li, Yanbing Zhang et al.·Jan 7, 2026SaveLearn
Finding Graph Isomorphisms in Heated Spaces in Almost No TimeDetermining whether two graphs are structurally identical is a fundamental problem with applications spanning mathematics, computer science, chemistry, and network science. Despite decades of study,…Sara Najem, Amer E. Mouawad·Jan 7, 2026SaveLearn
Multi-Scale Negative Coupled Information Systems (MNCIS): A Unified Spectral Topology Framework for Stability in Turbulence, AI, and BiologyComplex dynamical systems frequently encounter a recurrent structural instability: the collapse of the spectral gap, driving the system toward a low-dimensional "Zero-Mode Attractor" (e.g., spectral…Pengyue Hou·Jan 6, 2026SaveLearn
From Fermat's Principle to Physics-Informed Neural Networks: A Unified Computational Approach to Variational PhysicsVariational principles are a unifying mathematical framework across many areas of physics, yet their instruction at the undergraduate level remains primarily analytical. This work presents a…Aman Razdan, Aditya Shankar Mazumdar, Amit Tanwar et al.·Jan 3, 2026SaveLearn
Materials Informatics: Emergence To Autonomous Discovery In The Age Of AIThis perspective explores the evolution of materials informatics, from its foundational roots in physics and information theory to its maturation through artificial intelligence (AI). We trace the…Turab Lookman, YuJie Liu, Zhibin Gao·Jan 2, 2026SaveLearn
Fast Poisson brackets and constraint algebras in canonical gravityIn the study of alternative or extended theories of gravity, Dirac's Hamiltonian constraint algorithm is invaluable for enumerating the propagating modes and gauge symmetries. For gravity, this…Will Barker·Dec 31, 2025SaveLearn
Random Batch Sum-of-Gaussians Method for Molecular Dynamics of Born-Mayer-Huggins SystemsThe Born-Mayer-Huggins (BMH) potential, which combines Coulomb interactions with dispersion and short-range exponential repulsion, is widely used for ionic materials such as molten salts. However,…Chen Chen, Jiuyang Liang, Zhenli Xu et al.·Dec 31, 2025SaveLearn
BF-APNN: A Low-Memory Method for Accelerating the Solution of Radiative Transfer EquationsThe Radiative Transfer Equations (RTEs) exhibit high dimensionality and multiscale characteristics, rendering conventional numerical methods computationally intensive. Existing deep learning methods…Xizhe Xie, Wengu Chen, Weiming Li et al.·Dec 31, 2025SaveLearn
Efficient GPU-computing simulation platform JAX-PF for differentiable phase field modelWe present JAX-PF, an open-source, GPU-accelerated, and differentiable Phase Field (PF) software package, supporting both explicit and implicit time stepping schemes. Leveraging the modern computing…Fanglei Hu, Jiachen Guo, Stephen Niezgoda et al.·Dec 29, 2025SaveLearn
Learning Density Functionals to Bridge Particle and Continuum ScalesPredicting interfacial thermodynamics across molecular and continuum scales remains a central challenge in computational science. Classical density functional theory (cDFT) provides a…Edoardo Monti, Peter Yatsyshin, Konstantinos Gkagkas et al.·Dec 29, 2025SaveLearn
MultiAtomLiouvilleEquationGenerator: A Mathematica package for Liouville superoperators and master equations of multilevel atomic systemsMulAtoLEG (Multi-Atom Liouville Equation Generator) is an open-source Mathematica package for generating Liouville superoperators and Liouville equations, specialized for multilevel atomic systems…Pablo Yanes-Thomas, Rocío Jáuregui-Renaud, Santiago F. Caballero-Benítez et al.·Dec 29, 2025SaveLearn
PINNs for Electromagnetic Wave PropagationPhysics-Informed Neural Networks (PINNs) solve physical systems by incorporating governing partial differential equations directly into neural network training. In electromagnetism, where…Nilufer K. Bulut·Dec 29, 2025SaveLearn
A space-time extension of a conservative two-fluid cut-cell method for moving diffusion problemsWe present a space-time extension of a conservative Cartesian cut-cell finite-volume method for two-phase diffusion problems with prescribed interface motion. The formulation follows a two-fluid…Louis Libat, Can Selçuk, Eric Chénier et al.·Dec 29, 2025SaveLearn
Exponential divided differences via Chebyshev polynomialsExponential divided differences arise in numerical linear algebra, matrix-function evaluation, and quantum Monte Carlo simulations, where they serve as kernel weights for time evolution and…Itay Hen·Dec 28, 2025SaveLearn
Reconstructing Relativistic Magnetohydrodynamics with Physics-Informed Neural NetworksWe construct the first physics-informed neural-network (PINN) surrogates for relativistic magnetohydrodynamics (RMHD) using a hybrid PDE and data-driven workflow. Instead of training for the…Corwin Cheung, Marcos Johnson-Noya, Michael Xiang et al.·Dec 28, 2025SaveLearn
Masgent: An AI-assisted Materials Simulation AgentDensity functional theory (DFT) and machine learning potentials (MLPs) are essential for predicting and understanding materials properties, yet preparing, executing, and analyzing these simulations…Guanghen Liu, Songge Yang, Yu Zhong·Dec 28, 2025SaveLearn
Overcoming Computational Bottlenecks in Quantum Hydrodynamics: A Volume-Based Integral FormalismMesoscopic models of the optical response of metals have emerged as fundamental building blocks in quantum plasmonics, in principle overcoming the computational bottlenecks of ab initio techniques by…Christos Mystilidis, Christos Tserkezis, Guy A. E. Vandenbosch et al.·Dec 28, 2025SaveLearn
Integrating Wide and Deep Neural Networks with Squeeze-and-Excitation Blocks for Multi-Target Property Prediction in Additively Manufactured Fiber Reinforced CompositesContinuous fiber-reinforced composite manufactured by additive manufacturing (CFRC-AM) offers opportunities for printing lightweight materials with high specific strength. However, their performance…Behzad Parvaresh, Rahmat K. Adesunkanmi, Adel Alaeddini·Dec 26, 2025SaveLearn
GaDE -- GPU-acceleration of time-dependent Dirac Equation for exascaleModern heterogeneous high-performance computing (HPC) systems powered by advanced graphics processing unit (GPU) architectures enable accelerating computing with unprecedented performance and…Johanne Elise Vembe, Marcin Krotkiewski, Magnar Bjørgve et al.·Dec 25, 2025SaveLearn
New RVE concept and FFT methods in micromechanics of composites subjected to body force with compact supportWe consider static linear elastic composite materials (CMs) with periodic structure. The core of the proposed methodology is the generation of a novel dataset using specially designed body force…Valeriy A. Buryachenko·Dec 23, 2025SaveLearn
An immersed boundary method for the discrete velocity model of the Boltzmann equationComputational modeling and simulation of fluid-structure interactions constitute a fundamental cornerstone for advancing aerospace engineering endeavors. This paper addresses the notion and…Longqing Ge, Qingdong Cai, Yonghao Zhang et al.·Dec 23, 2025SaveLearn
Molecular Dynamics Investigation of Mass Transport During Evaporation for the Binary System of n-Dodecane and NitrogenThe study of interfacial fluxes under evaporative or condensation processes are ubiquitous in thermal systems, propulsion devices, and many other engineering applications. Most continuum scale models…Suman Chakraborty, Bongseok Kim, Li Qiao·Dec 23, 2025SaveLearn