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Mod. Math. Phys., Volume 2, Issue 2 (June 2026) – 2 articles

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52 pages, 4853 KB  
Article
Long-Range Topological Objects in Systems with Asymmetric Potentials
by Jorge A. González, Salvador Jiménez, Alberto J. Bellorín and Leonardo Reyes
Mod. Math. Phys. 2026, 2(2), 5; https://doi.org/10.3390/mmphys2020005 - 7 May 2026
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Abstract
Long-range topological objects can exist in many physical systems, and they can tunnel through very wide barriers. Thus, the propagation of long-range kink-like objects through disordered media can be extremely enhanced. When the potential is asymmetric, the long-range kink-like excitations can enter a [...] Read more.
Long-range topological objects can exist in many physical systems, and they can tunnel through very wide barriers. Thus, the propagation of long-range kink-like objects through disordered media can be extremely enhanced. When the potential is asymmetric, the long-range kink-like excitations can enter a regime of superpropagation, where, essentially, they can move through almost any disordered medium. We believe these phenomena can find applications in macroscopic quantum technologies (including robust qubits), energy devices for energy harvesting and storage, and high-Tc superconductivity in hydrides. We expect that many of these results can be generalized to other topological objects, e.g., fluxons, domain walls, skyrmions, topological defects, stripes, textures, dislocations in crystals, strings, monopoles, instantons, vortices, and spiral waves. Full article
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23 pages, 1602 KB  
Article
Evaluation of Water Vapor Feedback Using a Two-Layer Atmospheric Box Model
by Kazuma Morimoto, Hiroshi Kobayashi and Hiroyuki Shima
Mod. Math. Phys. 2026, 2(2), 4; https://doi.org/10.3390/mmphys2020004 - 23 Apr 2026
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Abstract
Massive-scale, ultra-high-resolution numerical simulations for climate change prediction provide data of exceptional accuracy and reliability. However, this comes at the cost of enormous computational resources, and the underlying processes often remain a “black box”. In contrast to these sophisticated methods, we theoretically analyzed [...] Read more.
Massive-scale, ultra-high-resolution numerical simulations for climate change prediction provide data of exceptional accuracy and reliability. However, this comes at the cost of enormous computational resources, and the underlying processes often remain a “black box”. In contrast to these sophisticated methods, we theoretically analyzed the water vapor feedback effect using a highly simplified model that focuses exclusively on the most critical physical factors governing climate change. Specifically, we formulated a two-layer box model by dividing the entire atmosphere into layers of equal optical thickness. Using this model, we quantitatively verified the extent to which the water vapor feedback effect—a key driver of global warming—can be theoretically reproduced. Full article
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