Article
Materials Science, Multidisciplinary
P. Prelovsek, M. Mierzejewski, J. Herbrych
Summary: This study investigates the high-temperature dynamical conductivity in two one-dimensional integrable quantum lattice models, the XXZ spin chain and the Hubbard chain. The results reveal a fine structure of conductivity spectra in the XXZ chain, but do not find clear evidence for a diffusive component, at least not for certain values of parameters. The conclusion is similar for the Hubbard model away from half-filling, showing more universal behavior in the spectra.
Article
Multidisciplinary Sciences
Peter Y. Lu, Rumen Dangovski, Marin Soljacic
Summary: Conservation laws are essential for understanding and modeling nonlinear dynamical systems. However, identifying conserved quantities is challenging. This paper proposes a non-parametric approach based on manifold learning to discover conservation laws directly from trajectory data, without the need for an explicit model or accurate time information.
NATURE COMMUNICATIONS
(2023)
Article
Mathematics
Shijian Lin, Qi Luo, Hongze Leng, Junqiang Song
Summary: The new multi-moment numerical solver proposed in this study utilizes alternating polynomial reconstruction to solve hyperbolic conservation laws. This method allows for a compact numerical stencil and high-order accuracy, with the ability to accommodate a larger CFL number compared to other high-order schemes. By incorporating artificial viscosity, shock waves and discontinuities can be accurately computed without the need to solve an approximated Riemann problem.
Article
Materials Science, Multidisciplinary
M. Mierzejewski, J. Herbrych, P. Prelovsek
Summary: In studying ballistic transport in integrable quantum lattice models, it is found that a discontinuous reduction occurs when interaction is introduced, which is related to the large degeneracy of the parent noninteracting models. These degeneracies can be accurately captured by degenerate perturbation calculations and trace back to the nonlocal character of the effective interaction.
Article
Astronomy & Astrophysics
Gloria Odak, Antoine Rignon-Bret, Simone Speziale
Summary: We demonstrate the validity of the Wald-Zoupas prescription for gravitational charges in the presence of anomalies and field-dependent diffeomorphism, depending on a specific correlation between these factors. The mathematical interpretation of the allowed anomalies is revealed through the analysis of BMS symmetries, where they correspond to soft terms in the charges. We investigate the correspondence between the Wald-Zoupas prescription and an improved Noether charge, establishing a certain differential equation as a necessary condition, and finding that the resulting improved Noether charge's boundary Lagrangian usually contains a nontrivial corner term that can be determined in advance by a condition of anomaly freeness. Our findings shed light on the effectiveness of the Wald-Zoupas prescription despite the anomalous behavior of BMS transformations, and offer insights for connecting different aspects of surface charges literature.
Article
Physics, Multidisciplinary
Maurizio Fagotti
Summary: We investigate the effect of a single spin flip preceding a global quench between translationally invariant local Hamiltonians in spin-1/2 chains. The effect of the localized perturbation does not fade away however large the distance from the perturbation is. In particular, translational invariance is not restored and the infinite-time limit depends on whether the spin was flipped or not. We argue that this phenomenon is more general than the particular example considered and we conjecture that it is triggered by topological properties, specifically, the existence of semilocal charges.
PHYSICAL REVIEW LETTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Chao Yan, James G. McDonald
Summary: The ten-moment equations are a first-order alternative to the Navier-Stokes equations in the absence of heat transfer. They are advantageous due to their first-order hyperbolic conservation laws. However, the lack of suitable turbulence models limits their applicability.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Jeffrey Belding, Monika Neda, Rihui Lan
Summary: In this paper, a finite element study is conducted for the family of Time Relaxation models using the EMAC discretization method. The conservation properties, stability, and error estimates are analyzed in the fully discrete case, and comparisons with the classical skew symmetric non-linear formulation are made. It is shown that the error estimate for EMAC is improved compared to the skew symmetric scheme, and numerical experiments in 2D and 3D demonstrate the advantage of EMAC over skew symmetric.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Astronomy & Astrophysics
Kamal Hajian, M. M. Sheikh-Jabbari, Bayram Tekin
Summary: In gauge invariant theories, physical observables like mass, entropy, angular momentum, electric charge, temperature, horizon angular velocity, and electric potential should be gauge invariant. The construction of the laws of black hole thermodynamics requires subtle consideration of the gauge invariance of intensive quantities.
Article
History & Philosophy Of Science
Patrick M. Duerr
Summary: This paper revisits the debate between realists and anti-realists regarding gravitational energy in general relativity, reassessing the arguments of eliminativists and realist detractors. It also examines recent proposals for realism by Lam and Read, with a particular focus on the adequacy of functionalism introduced from philosophy of mind.
Article
Mathematics, Applied
Duyen T. M. Phan, Sergey L. Gavrilyuk, Giovanni Russo
Summary: This paper investigates a one-dimensional periodic system consisting of multiple layers, each composed of compressible fluids with different densities and equations of state. A detailed numerical solution of the Euler equations governing the multi-layer system is compared with two isentropic homogeneous models that effectively describe the complex two-fluid mixture. The first model is a 2x2 isentropic one-pressure two-fluid model, while the second model is a 3x3 system that takes into account turbulent effects. The numerical solution and the two models show good agreement for smooth solutions, but differ for shock waves. The second model provides a better description for large density ratios, while the first model is more accurate for moderate density ratios.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Chemistry, Multidisciplinary
Aida Alizamir, Amin Gholami, Nader Bahrami, Mehdi Ostadhassan
Summary: Hemoglobin is a crucial blood element, and accurately calculating its refractive index (RI) is important for non-invasive diagnostics. This research explores four strategies to quantify the correlation between the RI of hemoglobin and its influencing factors. The results demonstrate the promising performance of a statistical approach (ACE) and optimized intelligent techniques (ONN, OFIS, and OSVR) in estimating the RI of hemoglobin. Sensitivity analysis reveals that concentration, wavelength, and temperature have the highest impact on the RI.
Article
Astronomy & Astrophysics
Yi-Lun Chung, Kingman Cheung, Shih-Chieh Hsu
Summary: This paper investigates the production of Higgs boson pairs in the electroweak symmetry breaking sector. The machine learning approach used in this study significantly improves signal-background discrimination and enhances the sensitivity coverage of the parameter space. The results demonstrate that the processes of gg-hh-bb\¯bb¯ can probe the parameter space allowed by HIGGSSIGNALS and HIGGSBOUNDS at the HL-LHC.
Article
Mathematics, Applied
Simone Goettlich, Michael Herty, Salissou Moutari, Jennifer Weissen
Summary: This paper presents a new approach for traffic flow modeling, which approximates the homogenized pressure well and shows effectiveness through numerical simulations and comparative analysis with other methods.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2021)
Article
Mathematics, Applied
Gianluca Frasca-Caccia, Peter E. Hydon
Summary: A recently-introduced strategy uses symbolic algebra to construct finite difference schemes that preserve several local conservation laws of a given scalar PDE. By adapting this strategy to PDEs that are not in Kovalevskaya form and to systems of PDEs, the study demonstrates that the approach yields conservative and highly accurate schemes compared to existing methods.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Biochemistry & Molecular Biology
Charles Badu-Boateng, Sofia Pardalaki, Claude Wolf, Sonia Lajnef, Fabienne Peyrot, Richard J. Naftalin
FREE RADICAL BIOLOGY AND MEDICINE
(2017)
Article
Cell Biology
Lluisa Miro, Anna Perez-Bosque, Monica Maijo, Concepcio Amat, Richard J. Naftalin, Miquel Moreto
AMERICAN JOURNAL OF PHYSIOLOGY-CELL PHYSIOLOGY
(2013)
Article
Biophysics
Richard J. Naftalin
BIOPHYSICAL JOURNAL
(2008)
Article
Physiology
Lluisa Miro, Anna Perez-Bosque, Monica Maijo, Richard J. Naftalin, Miquel Moreto
EXPERIMENTAL PHYSIOLOGY
(2014)
Article
Biochemistry & Molecular Biology
Evangelia Vlachodimitropoulou, Richard J. Naftalin, Paul A. Sharp
FREE RADICAL BIOLOGY AND MEDICINE
(2010)
Article
Biochemistry & Molecular Biology
Evangelia Vlachodimitropoulou, Paul A. Sharp, Richard J. Naftalin
FREE RADICAL BIOLOGY AND MEDICINE
(2011)
Review
Biochemistry & Molecular Biology
Charles Badu-Boateng, Richard J. Naftalin
FREE RADICAL BIOLOGY AND MEDICINE
(2019)
Article
Biochemistry & Molecular Biology
Richard J. Naftalin
JOURNAL OF MEMBRANE BIOLOGY
(2010)
Article
Biochemistry & Molecular Biology
Philip Cunningham, Richard J. Naftalin
JOURNAL OF MEMBRANE BIOLOGY
(2013)
Article
Biochemistry & Molecular Biology
Philip Cunningham, Richard J. Naftalin
JOURNAL OF MEMBRANE BIOLOGY
(2014)
Article
Biochemistry & Molecular Biology
Ksenija Slavic, Elvira T. Derbyshire, Richard J. Naftalin, Sanjeev Krishna, Henry M. Staines
MOLECULAR AND BIOCHEMICAL PARASITOLOGY
(2009)
Article
Biophysics
Javier Iglesias-Fernandez, Peter J. Quinn, Richard J. Naftalin, Carmen Domene
BIOPHYSICAL JOURNAL
(2017)
Article
Biophysics
Richard J. Naftalin, Nicholas Green, Philip Cunningham
BIOPHYSICAL JOURNAL
(2007)
Article
Neurosciences
Esther Cristia, Concepcio Amat, Richard J. Naftalin, Miquel Moreto
JOURNAL OF PHYSIOLOGY-LONDON
(2007)