Results 91 to 100 of about 181,310 (279)

Heat kernel methods for Lifshitz theories

Journal of High Energy Physics, 2017
We study the one-loop covariant effective action of Lifshitz theories using the heat kernel technique. The characteristic feature of Lifshitz theories is an anisotropic scaling between space and time.
Andrei O. Barvinsky, Diego Blas, Mario Herrero-Valea, Dmitry V. Nesterov, Guillem Pérez-Nadal, Christian F. Steinwachs   +5 more
doaj   +1 more source

On the generalised heat kernel

Вычислительные технологии, 2004
The authors investigate the equation \(\frac{\partial}{\partial t}u(x,t)=-c^2(-\triangle)^ku(x,t)\) with the initial conditions \(u(x,0)=f(x)\), where \(x\in{\mathbb R}^n\). The operator \(\triangle^k\) is said to be the Laplace operator iterated \(k\) times and is defined as \(\triangle^k=(\frac{\partial^2}{\partial x_1^2}+ \frac{\partial^2}{\partial ...
Nonlaopon, К., Kananthai, A.
openaire   +2 more sources

Generalized heat kernel coefficients [PDF]

EPJ direct, 2001
Following Osipov and Hiller, a generalized heat kernel expansion is considered for the effective action of bosonic operators. In this generalization, the standard heat kernel expansion, which counts inverse powers of a c-number mass parameter, is extended by allowing the mass to be a matrix in flavor space.
openaire   +2 more sources

Multifunctional Bio‐Based Packaging for Perishable Foods: Structural Design, Scalable Fabrication, and Versatile Applications

Advanced Materials, EarlyView.
An overview of design principles and scalable fabrication strategies for multifunctional bio‐based packaging. Radiative cooling films, modified‐atmosphere films/membranes, active antimicrobial/antioxidant platforms, intelligent optical/electrochemical labels, and superhydrophobic surfaces are co‐engineered from material chemistry to mesoscale structure
Lei Zhang, Jiaqi Zhang, Mei Cui, Wei Qi, Renliang Huang, Rongxin Su, Kai Zhang   +6 more
wiley   +1 more source

On the heat kernel of the Rumin complex and Calderón reproducing formula

Analysis and Geometry in Metric Spaces
We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo, Franchi Bruno, Sire Yannick   +2 more
doaj   +1 more source

Data‐Driven Discovery of Quaternary Ammonium Interlayers for Efficient and Thermally Stable Perovskite Solar Cells

Advanced Materials, EarlyView.
An active learning framework, grounded in independently generated in‐house experimental data, enables reliable discovery of high‐performance interfacial materials for perovskite solar cells. Iterative model refinement autonomously converges toward structurally robust quaternary ammonium architectures, establishing a new design principle for interfacial
Jongbeom Kim, Yang Jeong Park, Chaehoon Jeon, Nahye Shin, Jaewang Park, Seungun Lee, Jino Im, Sungroh Yoon, Sang Il Seok   +8 more
wiley   +1 more source

Heat-Semigroup-Based Besov Capacity on Dirichlet Spaces and Its Applications

Mathematics
In this paper, we investigate the Besov space and the Besov capacity and obtain several important capacitary inequalities in a strictly local Dirichlet space, which satisfies the doubling condition and the weak Bakry–Émery condition.
Xiangyun Xie, Haihui Wang, Yu Liu
doaj   +1 more source

Heat Kernel Embeddings, Differential Geometry and Graph Structure

Axioms, 2015
In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
doaj   +1 more source

Neuromorphic Electronics for Intelligence Everywhere: Emerging Devices, Flexible Platforms, and Scalable System Architectures

Advanced Materials, EarlyView.
The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj, Roshni Satheesh Babu, Yuxin Xia, Eva Bestelink, Radu Sporea, Nikos Hastas, Ioannis Zeimpekis, Dimitra G. Georgiadou, Sayani Majumdar   +8 more
wiley   +1 more source

The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime

Journal of High Energy Physics
We present a formalism for computing arbitrary scalar multi-loop Feynman graphs in curved spacetime using the heat kernel approach. To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in
Igor Carneiro, Gero von Gersdorff
doaj   +1 more source