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Related Articles from SNS
Module Lattice Security (Part II): Module Lattice Reduction via Optimal Sign Selection
arXiv:2604.22900v2 Announce Type: replace Abstract: We extend the CDPR's quantum attack from ideal lattices to module lattices over $2^k$-th cyclotomic rings. Using trace orthogonality of the power basis, we decompose a rank-$d$ module into mutually orthogonal rank-$1$ submodules, and apply CDPR's analysis to each independently and return the shortest candidate. The Hermite factor $\exp(\tilde{O}(\sqrt{n}))$ matches the ideal case, with a module reduction factor $\alpha_d=O(1)$ independent...
Majorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual Codes
arXiv:2606.03482v1 Announce Type: cross Abstract: Regev and Stephens-Davidowitz conjectured that the integer lattice maximizes Gaussian mass among integral lattices of a given rank. We prove this, including the equality case, for all unimodular Construction-A lattices arising from binary self-dual codes. The proof reduces the theta-series inequality to a sharp majorization statement for codes: if $C$ is a binary self-dual $[2k,k]$ code, then the half-weight distribution of $C$ is dominated...
Majorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual Codes
Announce Type: replace-cross Abstract: Regev and Stephens-Davidowitz conjectured that the integer lattice maximizes Gaussian mass among integral lattices of a given rank. We prove this, including the equality case, for all unimodular Construction-A lattices arising from binary self-dual codes. The proof reduces the theta-series inequality to a sharp majorization statement for codes: if $C$ is a binary self-dual $[2k,k]$ code, then the half-weight distribution of $C$ is dominated in convex...
Flow-priority optimization of additively manufactured variable-TPMS lattice heat exchanger based on macroscopic analysis
arXiv:2512.10207v2 Announce Type: replace Abstract: Heat exchangers incorporating triply periodic minimal surface (TPMS) lattice structures have attracted considerable research interest because they promote uniform flow distribution, disrupt boundary layers, and improve convective heat-transfer performance. However, from the perspective of forming a macroscopic flow pattern optimized for heat-exchange efficiency, a uniform lattice is not necessarily the optimal configuration. This study...
Cubic Hermite Lattice Structures
arXiv:2606.06500v1 Announce Type: new Abstract: Lattice structures are of growing importance in additive manufacturing, where complex internal geometries are increasingly required for lightweight, high surface-to-volume ratios, multifunctionality, and other superior mechanical properties. Conventional lattice modeling methods typically represent struts with simple primitives, such as cylinders or cones, limiting geometric diversity and the design space.
Hydrogen-induced lattice cohesion weakening favors atomic displacement
Announce Type: cross Abstract: Atomic displacement -- the fundamental process underlying diverse deformation and damage phenomena in metals, from irradiation defect production to stress-driven dislocation motion -- is governed by interatomic cohesion strength. Here, lattice-dissolved hydrogen (LDH) occurring in metals under direct hydrogen exposure is identified to effectively weaken lattice cohesion, and thereby facilitating atomic displacement and dislocation movement upon plastic...
Generalized cluster algorithms for Potts lattice gauge theory
arXiv:2507.13503v2 Announce Type: replace-cross Abstract: Monte Carlo algorithms, like the Swendsen-Wang and invaded-cluster, sample the Ising and Potts models asymptotically faster than single-spin Glauber dynamics do. Here, we generalize both algorithms to sample Potts lattice gauge theory by way of a $2$-dimensional cellular representation called the plaquette random-cluster model. The invaded-cluster algorithm targets Potts lattice gauge theory at criticality by implementing a stopping...
Mobility Heterogeneity in a 2D Gaussian Lattice Polymer: A Dynamic Monte Carlo Study
Announce Type: cross Abstract: We study mobility heterogeneity in a two-dimensional Gaussian lattice polymer using dynamic Monte Carlo simulations. The polymer dynamics is generated from a local three-monomer move dictionary, which explicitly enumerates allowed bond-preserving updates on a square lattice. As a homogeneous benchmark, this dictionary reproduces the expected Rouse-like behavior of an ideal chain, including the crossover in monomer mean-squared displacement (MSD) and the...
A Nesting-Free Normal Form for Nested Conditions in Finite Lattices of Subgraphs
[Submitted on 26 Jan 2026 (v1), last revised 1 Jun 2026 (this version, v3)] Title:A Nesting-Free Normal Form for Nested Conditions in Finite Lattices of Subgraphs View PDF HTML (experimental)Abstract:We present a nesting-free normal form for the formalism of nested conditions and constraints in the context of finite lattices of subgraphs. Submission history From: Jens Kosiol [view email][v1]
Crystal Shape and Lattice Deformation in Powder Diffraction
arXiv:2606.09319v1 Announce Type: cross Abstract: Accurate modelling of diffraction peak shapes is essential for extracting microstructural information from nanocrystalline materials. Common-volume functions are widely used to describe finite-size and shape broadening in powder diffraction, but analytical expressions are available only for a limited set of ideal geometries. Here, we introduce a generalized Fourier-based framework in which crystal-domain shape deformation, lattice...