Article
Mechanics
Naoto Shiraishi
Summary: We investigate the connection between response and fluctuation in general nonequilibrium stationary states. We focus on time-symmetric quantities and find that the fluctuation of a certain empirical measure can be expressed by the response of the empirical measure, current, and time-symmetric current. We prove this relation using the fictitious stalling decomposition, decomposing a single observed transition between microscopic states into two transitions where one stalls in the stationary state.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)
Article
Physics, Multidisciplinary
Z. Yousaf, M. Z. Bhatti, U. Farwa
Summary: This paper investigates the impact of f(R, T-2) gravity on the dynamical evolution of anisotropic and dissipative fluids, highlighting the significant role of modified scalar variables and electric and magnetic components of the Weyl tensor in the evolution of compact objects. It also reveals that while the physics remains the same, the couplings of both R theories (GR and f(R, T-2)) differ.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Mathematics, Applied
Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa
Summary: In this passage, the existence of weak solutions v of the stationary Navier-Stokes equations in an exterior domain of R3 are discussed, where the solutions must satisfy certain boundary conditions. The first task is to find an appropriate solenoidal extension b into the domain, with subsequent analysis on the behavior of v based on the characteristics of b.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2021)
Article
Engineering, Multidisciplinary
A. J. A. Ramos, R. Kovacs, M. M. Freitas, D. S. Almeida Junior
Summary: The Guyer-Krumhansl heat equation has important practical applications in heat conduction problems and can effectively describe the thermal behavior of macroscale heterogeneous materials. It is a promising candidate to be the next standard model in engineering, but its mathematical properties need to be thoroughly investigated and understood. This paper presents the basic structure of the equation and focuses on its differences from the Fourier heat equation. Additionally, it proves the well-posedness of a specific initial and boundary value problem and investigates the stability of the solution using a finite difference approach.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Astronomy & Astrophysics
Hyeong-Chan Kim, Youngone Lee
Summary: In this study, we investigate the problem of heat conduction in general relativity using Carter's variational formulation. We express the creation rates of entropy and particles as combinations of temperature and chemical potential vorticities, and discover the dynamical role of the binormal parts in thermodynamic systems. The introduction of binormal parts allows for a physical ansatz describing the evolution of the whole thermodynamic system, and we propose a suitable ansatz based on the physical properties of thermal equilibrium systems. Additionally, we explore the stability of a thermodynamic system in a flat background and find the existence of new 'Klein' modes and less stringent stability requirements than those in the literature.
CLASSICAL AND QUANTUM GRAVITY
(2022)
Article
Materials Science, Multidisciplinary
Chuang Zhang, Dengke Ma, Manyu Shang, Xiao Wan, Jing-Tao Lu, Zhaoli Guo, Baowen Li, Nuo Yang
Summary: Hotspots in micro/nanoscale chips are a common occurrence, and it has been discovered that thermal conductivity is not constant in such homogeneous systems. Graded thermal conductivity is observed, even with a fixed system size. The mechanisms of phonon scattering are analyzed, and it is found that the graded thermal conductivity can be predicted as long as there is not enough phonon scattering, independent of material properties, dimensions, or system size.
MATERIALS TODAY PHYSICS
(2022)
Article
Thermodynamics
A. . J. A. . Ramos, L. G. R. Miranda, M. M. Freitas, R. Kovacs
Summary: In this paper, the authors revisit the Guyer-Krumhansl heat equation and show that by satisfying thermodynamic conditions and the maximum principle, the occurrence of negative temperatures can be avoided. The study further emphasizes the thermodynamic origin of heat equations and their compatibility with the second law, and explores two different approaches to determine the initial state in a thermodynamically compatible way. Computational simulations provide support for the findings.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2023)
Article
Mathematics, Applied
Xuefeng Liu, Mitsuhiro T. Nakao, Shin'ichi Oishi
Summary: This paper proposes a computer-assisted method for verifying the existence of a solution to the stationary Navier-Stokes equation over general 3D domains. The method verifies the existence of the exact solution as the fixed point of the Newton iteration around the approximate solution through rigorous computation and error estimation. The explicit values of quantities required by applying the fixed-point theorem are obtained by utilizing newly developed quantitative error estimation for finite element solutions to boundary value problems and eigenvalue problems of the Stokes equation.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Mathematics, Applied
Naman Bartwal, Shantanu Shahane, Somnath Roy, Surya Pratap Vanka
Summary: In this paper, a high accuracy meshless method is proposed for solving heat conduction problems in complex domains. The method uses domain decomposition and cloud-based interpolation of scattered data to achieve high accuracy. The algorithm is demonstrated to be accurate in several two and three dimensional problems with sharp discontinuity in thermal conductivity.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Nanoscience & Nanotechnology
Jindiao Wu, Jianan Zhang, Yanjun Liu, Jun Wang, Cheng Zhang, Jiatao Yan, Wen Li, Toshio Masuda, Andrew K. Whittaker, Afang Zhang
Summary: Molecules with C-3 symmetry can self-assemble into supramolecular fibers with enhanced chirality, and the integration of conjugation provides strong aggregation tendency, leading to the formation of supramolecular fibrous bundles.
ACS APPLIED MATERIALS & INTERFACES
(2022)
Article
Nanoscience & Nanotechnology
Jindiao Wu, Jianan Zhang, Yanjun Liu, Jun Wang, Cheng Zhang, Jiatao Yan, Wen Li, Toshio Masuda, Andrew K. Whittaker, Afang Zhang
Summary: Molecules with C-3 symmetry and conjugated diacetylene cores can self-assemble into well-defined supramolecular fibers with enhanced chirality in both organic and aqueous solutions. The integration of symmetry and conjugation provides aggregation tendency through pi-pi stacking, resulting in supramolecular chirality predominantly influenced by steric hindrance from dipeptide pendants.
ACS APPLIED MATERIALS & INTERFACES
(2022)
Article
Thermodynamics
Behzad Ahmadi, Sajjad Bigham
Summary: Polymer heat exchangers are cost-effective and lightweight thermal management solutions with antifouling and anti-corrosion properties, but suffer from poor thermal characteristics due to low thermal conductivities. This study examines the thermal performance of 3D-printed polymer heat exchangers with intricate internal geometries, including a lung-inspired design, across a range of thermal conductivities. Experimentally and numerically, it was determined that high thermal conductivity lung-inspired polymer heat exchangers offer high thermal duties at reduced pressure drops and high effectiveness.
APPLIED THERMAL ENGINEERING
(2022)
Article
Materials Science, Characterization & Testing
Vladimir P. Vavilov
Summary: By using advanced 3D modeling, this study describes the basic features of thermal nondestructive testing (TNDT) problems and analyzes subtle physical phenomena that have not been properly studied before.
NDT & E INTERNATIONAL
(2022)
Article
Engineering, Civil
J. C. Monge, J. L. Mantari, R. A. Arciniega
Summary: This paper investigates the three-dimensional bending solution of doubly-curved shells subjected to mechanical, thermal, and hygrothermal loads. The temperature profile through the shell is modeled using Fourier's heat conduction equation, while the hygro-thermal profile is determined using Fick's moisture diffusion law. The governing equations are solved using Navier closed form summations, and the thickness profile is discretized using Legendre's grid distribution and solved using the Differential Quadrature Method (DQM). Results for cylindrical, spherical panels, and rectangular plates are presented and compared with existing solutions in the literature.
ENGINEERING STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Shupeng Li, Di Li, Mitchell Pet, John A. Rogers, Yonggang Huang
Summary: This article introduces a wireless implantable flow sensing probe technology that enables continuous monitoring of blood flow velocity in peripheral tissue remote from the critical blood supply for reliable detection of thrombosis. An analytical model is developed to interpret the temperature measurements and determine flow velocity, which is validated through in vitro and in vivo experiments.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Mathematics, Applied
E. Barbera, C. Curro, G. Valenti
PHYSICA D-NONLINEAR PHENOMENA
(2015)
Article
Physics, Multidisciplinary
Elvira Barbera, Francesca Brini
Article
Acoustics
Elvira Barbera, Giovanna Valenti
Article
Mathematics, Applied
Elvira Barbera, Francesca Brini
ACTA APPLICANDAE MATHEMATICAE
(2014)
Article
Mathematics, Applied
Elvira Barbera, Francesca Brini, Masaru Sugiyama
ACTA APPLICANDAE MATHEMATICAE
(2014)
Article
Mechanics
Elvira Barbera, Francesca Brini
Article
Mechanics
Elvira Barbera, Francesca Brini
Article
Physics, Fluids & Plasmas
Elvira Barbera, Giancarlo Consolo, Giovanna Valenti
Article
Physics, Multidisciplinary
Takashi Arima, Elvira Barbera, Francesca Brini, Masaru Sugiyama
Article
Mathematical & Computational Biology
Elvira Barbera
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2020)
Article
Mathematics, Applied
Elvira Barbera, Francesca Brini
RICERCHE DI MATEMATICA
(2019)
Proceedings Paper
Thermodynamics
Elvira Barbera, Francesca Brini
NONEQUILIBRIUM THERMODYNAMICS AND STATISTICAL PHYSICS: FROM RATIONAL MODELING TO ITS APPLICATIONS
(2018)
Article
Multidisciplinary Sciences
Elvira Barbera, Francesca Brini
ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI
(2017)
Article
Mathematics, Applied
E. Barbera, C. Curro, G. Valenti
RICERCHE DI MATEMATICA
(2017)
Article
Mathematical & Computational Biology
Elvira Barbera, Giancarlo Consolo, Giovanna Valenti
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2015)
