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ConciseHint: Boosting Efficient Reasoning via Continuous Concise Hints during Generation
Siao Tang, Xinyin Ma, Gongfan Fang, Xinchao Wang
https://arxiv.org/abs/2506.18810
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana R\"uland, Camillo Tissot, Antonio Tribuzio, Christian Zillinger
https://arxiv.org/abs/2507.06773 https://arxiv.org/pdf/2507.06773 https://arxiv.org/html/2507.06773
arXiv:2507.06773v1 Announce Type: new
Abstract: The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving higher order laminates. We deduce scaling laws in the singular perturbation parameter which are robust in the choice of the surface energy (e.g., diffuse, sharp, an interpolation thereof or discrete). Furthermore, we show that these scaling laws do not require the presence of isotropic surface energies but that generically also highly anisotropic surface energies yield the same scaling results. More precisely, the presence of essentially generic partial directional derivatives in the regularization terms suffices to produce the same scaling behaviour as in the isotropic setting. The only sensitive directional dependences are directly linked to the lamination directions of the well structure -- and even for these only the ``inner-most'' lamination direction is of significance in determining the scaling law. In view of experimental applications, this shows that also for higher-order laminates, the precise structure of the surface energies -- which is often very difficult to determine experimentally -- does not have a crucial impact on the scaling behaviour of the investigated structures but only enters when considering finer properties.
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Anomalous slow-down of the bound state dynamics in a non-locally coupled quantum circuit
Biswajit Paul, Suman Mondal, Tapan Mishra
https://arxiv.org/abs/2506.09818
This https://arxiv.org/abs/2502.07185 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…
Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
Niklas Rasch, Lauriane Chomaz, Thomas Gasenzer
https://arxiv.org/abs/2506.01653
Tilt-Induced Localization in Interacting Bose-Einstein Condensates for Quantum Sensing
Argha Debnath, Mariusz Gajda, Debraj Rakshit
https://arxiv.org/abs/2506.06173