This collection explores the fundamental physics concepts that govern how matter and energy interact across the universe. From the invisible forces shaping our daily lives to the complex mechanics driving cosmic phenomena, these studies reveal the underlying rules of reality. Here, we translate cutting-edge research into insights anyone can understand, bridging the gap between abstract theory and tangible discovery.

Every new preprint in this category originates from arXiv, where researchers first share their latest findings with the global community. At Gist.Science, we process each of these submissions to provide both detailed technical summaries and clear, plain-language explanations. This dual approach ensures that whether you are a seasoned physicist or a curious learner, you can grasp the significance of every breakthrough without getting lost in dense equations.

Below are the latest papers in Class-Ph, freshly processed and ready for you to explore.

🔬 physics

Formation of grain boundaries in ductile single crystals under plane-strain simple shear: a block-coordinate finite element method

This paper investigates the spontaneous formation of lamellar grain boundaries in ductile single crystals under plane-strain simple shear by employing a polyconvex continuum dislocation theory and a specialized block-coordinate finite element method to numerically resolve the microstructure arising from energy non-quasiconvexity and gradient regularization.

Khanh Chau Le, Thanh Danh Nguyen2026-09-09
🔢 mathematics

Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori

This paper presents a highly parallel, efficient numerical algorithm with O(N log N) complexity that computes high-order Taylor-Fourier expansions of invariant manifolds for high-dimensional, reducible tori in stroboscopic Poincaré maps, utilizing a two-step quadratically convergent scheme and multiple shooting strategies to handle highly unstable cases.

Joan Gimeno, Àngel Jorba, Begoña Nicolás, Estrella Olmedo2026-09-07
🔬 materials science

Water wave scattering by a surface-mounted rectangular anisotropic elastic plate

This paper investigates the scattering of water waves by a surface-mounted rectangular anisotropic elastic plate with various edge conditions by combining a Rayleigh–Ritz method for dry modes and a boundary integral equation approach, revealing how symmetry constraints can forbid the excitation of specific resonant modes.

Ben Wilks, Michael H. Meylan, Zachary J. Wegert, Vivien J. Challis, Ngamta Thamwattana2026-09-04
🌀 nonlinear sciences

Painleve solitons of AKNS system and irrational algebraic solitons of NLS equations

This paper introduces a novel symmetry decomposition approach to derive "Painlevé solitons" for the AKNS system and NLS equations, significantly expanding the known solution landscape by generating new classes of irrational algebraic, rational algebraic, and parabolic cylindrical function solitons governed by Painlevé IV transcendent backgrounds.

Man Jia, Xia-Zhi Hao, Ruo-Xia Yao, Fa-Ren Wang, S. Y. Lou2026-09-01
🌀 nonlinear sciences

Planar Three-Body Problem: theoretical predictions and simulation results

This paper investigates the statistical properties of the non-hierarchical planar three-body problem by comparing theoretical predictions from Flux-based theory against one million numerical simulations, revealing that while some outcomes align well, others show unexpected discrepancies when contrasted with the unconstrained three-dimensional case.

Yogesh Dandekar, Ethan Springer, Shoval Zard, Alessandro Alberto Trani, Barak Kol, Ofek Birnholtz2026-09-01
🔬 classical physics

Path-Dependent Energy Lagrangian for Irreversible Thermomechanical Systems

This paper introduces a Path-Dependent Energy Lagrangian (PDEL) that unifies the mechanical balance equations and the entropy/heat equation for irreversible thermomechanical systems into a single action functional, utilizing a history integral of channel powers and a specific upper-limit variation rule to simultaneously generate dissipative forces and positive heat sources while ensuring thermodynamic consistency without auxiliary multipliers.

Huilong Ren2026-08-28✓ Author reviewed