We study the thermodynamical properties of a class of asymptotically conical geometries known as "subtracted geometries." We derive the mass and angular momentum from the regulated Komar integral and the Hawking-Horowitz prescription and show that they are equivalent. By deriving the asymptotic charges, we show that the Smarr formula and the first law of thermodynamics hold. We also propose an analog of Christodulou-Ruffini inequality. The analysis can be generalized to other asymptotically conical geometries.
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http://dx.doi.org/10.1103/PhysRevLett.114.231301 | DOI Listing |
Eur Phys J E Soft Matter
October 2024
Université Paris Cité, CNRS, Laboratoire Matière et Systèmes Complexes (MSC), 75013, Paris, France.
The pointlike curvature constraint (PCC) model and the disk detachment angle (DDA) model for the deformation-mediated interaction of conical integral protein inclusions in biomembranes are compared in the small deformation regime. Given the radius of membrane proteins, which is comparable to the membrane thickness, it is not obvious which of the two models should be considered the most adequate. For two proteins in a tensionless membranes, the PCC and DDA models coincide at the leading-order in their separation but differ at the next order.
View Article and Find Full Text PDFPhys Rev Lett
June 2024
James C. Wyant College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA and Arizona Center of Mathematical Sciences, University of Arizona, Tucson, Arizona 85721, USA.
We predict the emergence of novel X-waves emitted as a consequence of extreme dispersive shock regularization of an intense long wave few cycle pulse propagating through a weakly dispersive medium. This robust propagation-invariant solution to Maxwell's equations appears as the asymptotic state in the high harmonic conversion when the pump propagates in a strongly nonlinear weakly dispersive regime, while the weakly nonlinear conical emission is dominated by chromatic dispersion.
View Article and Find Full Text PDFStruct Dyn
January 2024
Laboratory of Physical Chemistry, ETH Zürich, 8093 Zürich, Switzerland.
High-harmonic spectroscopy is an all-optical technique with inherent attosecond temporal resolution that has been successfully employed to reconstruct charge migration, electron-tunneling dynamics, and conical-intersection dynamics. Here, we demonstrate the extension of two key components of high-harmonic spectroscopy, i.e.
View Article and Find Full Text PDFJ Phys Chem A
March 2024
Department of Chemistry and Industrial Chemistry, University of Pisa, v. G. Moruzzi 13, Pisa 56126, Italy.
In this paper, we demonstrate two topological properties of crossing seams, that is, the sets of points in the -dimensional space of nuclear coordinates where two electronic eigenstates are degenerate. We shall examine the typical case of states of the same spin with accidental degeneracies, whereby the crossing seam is of dimension - 2. The first property we demonstrate is that a crossing seam has no boundary, therefore, it must either extend asymptotically to infinite values of one or more coordinates or wrap on itself.
View Article and Find Full Text PDFJ Chem Theory Comput
November 2023
Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea.
It is demonstrated that significant accuracy improvements in MRSF-TDDFT can be achieved by introducing two different exchange-correlation (XC) functionals for the reference Kohn-Sham DFT and the response part of the calculations, respectively. Accordingly, two new XC functionals of doubly tuned Coulomb attenuated method-vertical excitation energy (DTCAM-VEE) and DTCAM-AEE were developed on the basis of the "adaptive exact exchange (AEE)" concept in the framework of the Coulomb-attenuating XC functionals. The values by DTCAM-VEE are in excellent agreement with those of Thiel's set [mean absolute errors (MAEs) and the interquartile range (IQR) values of 0.
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