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The un-reduction procedure introduced previously in the context of classical mechanics is extended to covariant field theory. The new covariant un-reduction procedure is applied to the problem of shape matching of images which depend on more than one independent variable (for instance, time and an additional labelling parameter). Other possibilities are also explored: nonlinear [Formula: see text]-models and the hyperbolic flows of curves.
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http://dx.doi.org/10.1007/s11005-017-1000-9 | DOI Listing |
J Chem Theory Comput
September 2025
Materials DX Research Center, National Institute of Advanced Industrial Science and Technology, Tsukuba Central 2, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan.
The quantum mechanics/molecular mechanics (QM/MM) method is a powerful approach for investigating solid surfaces in contact with various types of media, since it allows for flexible modeling of complex interfaces while maintaining an all-atom representation. The mean-field QM/MM method is an average reaction field model within the QM/MM framework. The method addresses the challenges associated with the statistical sampling of interfacial atomic configurations of a medium and enables efficient calculation of free energies.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
Indian Institute of Science, Centre for Condensed Matter Theory, Department of Physics, Bengaluru 560 012, India.
We present a detailed analytical and numerical examination, on square and triangular lattices, of the nonreciprocal planar spin model introduced in Dadhichi et al. [Phys. Rev.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China.
We study nonperturbative effects of torus partition function of the TT[over ¯]-deformed 2D conformal field theory (CFT) by resurgence in this Letter and a companion paper. The deformed partition function can be written as an infinite series of the deformation parameter λ. We develop highly efficient methods to compute perturbative coefficients in the λ expansion.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
Shanghai Jiao Tong University, State Key Laboratory of Mechanical System and Vibration, Shanghai 200240, China.
Building localized states with high quality factors in compact dynamic systems could enhance the performance of wave control devices such as elastic filters and high-precision sensing devices. Here, we report on the theoretical and experimental investigation of symmetry-protected bound states in the continuum (BICs) in a compressed metaplate. The proposed theory establishes a Bessel-zero-directed multipolarization design that enables precise modulation for the frequencies and modes of BICs.
View Article and Find Full Text PDFPhys Rev Lett
August 2025
Los Alamos National Laboratory, Theoretical Division, Los Alamos, New Mexico 87545, USA.
At the extreme densities in neutron stars, a phase transition to deconfined quark matter is anticipated. Yet masses, radii, and tidal deformabilities offer only indirect measures of a first-order phase transition, requiring many detections to resolve or being ineffective observables if the discontinuity exists at lower densities. We report on a smoking-gun gravitational-wave signature of a first-order transition: the resonant tidal excitation of an interface mode.
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