arXiv subjects

Snir Meiri

Publications and source records attributed to Snir Meiri.

4 recordsLinked to original sources

arXiv2025

Recovering long-range cumulative response to geometric frustration in quasi-1d systems, mediated by constitutive softness

Cumulative geometric frustration can drive self-limited assembly and morphology selection through size-dependent energetic costs. However, the slenderness of quasi-one-dimensional systems generally suppresses the formation of long-range longitudinal gradients. We show that the suppression of longitudinal gradients can be overcome by tuning the ratio between the longitudinal and transverse (shear) moduli. We demonstrate the recovery of cumulative frustration across distinct quasi-one-dimensional systems, each frustrated through a different mechanism, by the introduction of a soft response mode.

physics.class-ph↗

arXiv2022

Bridging cumulative and non-cumulative geometric frustration response via a frustrated $N$-state spin system

The resolution of geometric frustration in systems with continuous degrees of freedom often involves a cooperative inhomogeneous response and super-extensive energy scaling. In contrast, the frustration in frustrated Ising-like spin systems is resolved uniformly. In this work we bridge between these two extremes by studying a frustrated model composed of N-state spins, and varying N. The expected cooperative response, observed for large N, is strongly attenuated as N is reduced, in a non-trivial way. Moderate N values show unique topological-like phases not observed before in frustrated models.

cond-mat.soft↗

arXiv2022

Cumulative geometric frustration and superextensive energy scaling in a nonlinear classical XY-spin model

Geometric frustration results from a discrepancy between the locally favored arrangement of the constituents of a system and the geometry of the embedding space. Geometric frustration can be either non-cumulative, which implies an extensive energy growth, or cumulative which implies super-extensive energy scaling and highly cooperative ground state configurations which may depend on the dimensions of the system. Cumulative geometric frustration was identified in a variety of continuous systems including liquid crystals, filament bundles and molecular crystals. However, a spin-lattice model which clearly demonstrates cumulative geometric frustration was lacking. In this work we describe a non-linear variation of the XY-spin model on a triangular lattice that displays cumulative geometric frustration. The model is studied numerically and analyzed in three distinct parameter regimes, which are associated with different energy minimizing configurations. We show that, despite the difference in the ground state structure in the different regimes, in all cases the super-extensive power-law growth of the frustration energy for small domains grows with the same universal exponent that is predicted from the structure of the underlying compatibility condition.

cond-mat.soft↗

arXiv2021

Cumulative geometric frustration in physical assemblies

Geometric frustration arises whenever the constituents of a physical assembly locally favor an arrangement that cannot be realized globally. Recently, such frustrated assemblies were shown to exhibit filamentation, size limitation, large morphological variations and other exotic response properties. While these unique characteristics can be shown to be a direct outcome of the geometric frustration, some geometrically frustrated systems do not exhibit any of the above phenomena. In this work we exploit the intrinsic approach to provide a framework for directly addressing the frustration in physical assemblies. The framework highlights the role of the compatibility conditions associated with the intrinsic fields describing the physical assembly. We show that the structure of the compatibility conditions determines the behavior of small assemblies, and in particular predicts their super-extensive energy growth exponent. We illustrate the use of this framework to several well known frustrated assemblies.

cond-mat.soft↗