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We study the connection between urban scaling, fundamental allometry (between city population and city area), and per capita vs.\ population density scaling. From simple analytical derivations we obtain the relation between the 3 involved…

Physics and Society · Physics 2016-09-06 Diego Rybski

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner

The 15-minute city concept, which advocates for cities where essential services are accessible within a 15-minute walk or bike ride, has gained significant attention in recent years. However, despite being celebrated for promoting…

Physics and Society · Physics 2026-05-29 Francesco Marzolla , Matteo Bruno , Hygor Piaget Monteiro Melo , Vittorio Loreto

In order to gain a better understanding of the Ising model in higher dimensions we have made a comparative study of how the boundary, open versus cyclic, of a d-dimensional simple lattice, for d=1,...,5, affects the behaviour of the…

Statistical Mechanics · Physics 2011-01-27 P. H. Lundow , K. Markström

As a tool for understanding the meridional circulation of the atmosphere, a two-dimensional ( latitude -- height ) numerical model is used to clarify the relationship between the Hadley circulation and large-scale motions associated with…

ao-sci · Physics 2016-08-30 Masaki Satoh

We establish a strong Gaussian approximation for high-dimensional non-degenerate U-statistics with diverging dimension. Under mild assumptions, we construct, on a sufficiently rich probability space, a Gaussian process that uniformly…

Statistics Theory · Mathematics 2026-03-12 Weijia Li , Leheng Cai , Qirui Hu

We propose a density functional to find the ground state energy and density of interacting particles, where both the density and the pair density can adjust in the presence of an inhomogeneous potential. As a proof of principle we formulate…

Strongly Correlated Electrons · Physics 2015-06-11 J. Lorenzana , Z. -J. Ying , V. Brosco

There is increasing evidence that global warming manifests itself in more frequent warm days and that heat waves will become more frequent. Presently, a formal definition of a heat wave is not agreed upon in the literature. To avoid this…

Plutonium dihydride and trihydride show strikingly similar crystal structures when viewed as close-packed Pu planes with ABC and AB stacking, respectively. The similarity serves as a framework for density functional theory (DFT)…

Materials Science · Physics 2013-07-03 Sven P. Rudin

U-statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the moments of the functionals using kernels from the Wiener-Ito…

Probability · Mathematics 2014-06-24 Viktor Benes , Marketa Zikmundova

We employ statistical physics and information-theoretic methods to quantify the dependencies between key atmospheric pollutants and meteorological variables across multiple Indian cities. To capture both linear and nonlinear relationships,…

Physics and Society · Physics 2025-08-26 Suchismita Banerjee , Koyena Ghosh , Moumita De , Urna Basu , Banasri Basu

In this paper, we present a theoretical framework for understanding the Extremely Correlated Fermi Liquid (ECFL) phenomenon within the $U=\infty$ Hubbard model. Our approach involves deriving equations of motion for the single-particle…

Strongly Correlated Electrons · Physics 2024-03-13 S. R. Hassan , Gopal Prakash , N. S. Vidhyadhiraja , T. V. Ramakrishnan

The habitable zone (HZ) describes the range of orbital distances around a star where the existence of liquid water on the surface of an Earth-like planet is in principle possible. While 3D climate studies can calculate the water vapor, ice…

Earth and Planetary Astrophysics · Physics 2016-07-20 M. Godolt , J. L. Grenfell , D. Kitzmann , M. Kunze , U. Langematz , A. B. C. Patzer , H. Rauer , B. Stracke

It has recently been shown that the Einstein equation can be derived by demanding a non-equilibrium entropy balance law dS = dQ/T + dS_i hold for all local acceleration horizons through each point in spacetime. The entropy change dS is…

High Energy Physics - Theory · Physics 2008-12-18 Christopher Eling

We derive several results that describe the rate at which a generic geodesic makes excursions into and out of a cusp on a finite area hyperbolic surface and relate them to approximation with respect to the orbit of infinity for an…

Geometric Topology · Mathematics 2009-04-16 Andrew Haas

The climate of a planet can be strongly affected by its eccentricity due to variations in the stellar flux. There are two limits for the dependence of the inner habitable zone boundary (IHZ) on eccentricity: (1) the mean-stellar flux…

Earth and Planetary Astrophysics · Physics 2023-02-01 Xuan Ji , Nora Bailey , Daniel Fabrycky , Edwin S. Kite , Jonathan H. Jiang , Dorian S. Abbot

A low-temperature upturn of the Coulomb drag resistivity measured in an undoped electron-hole bilayer (uEHBL) device, possibly manifesting from exciton formation or condensation, was recently observed. The effects of density imbalance on…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Christian P. Morath , John A. Seamons , John L. Reno , Michael P. Lilly

The exchange and correlation $E_{xc}$ of strongly correlated electrons in 2D layers of finite width are studied as a function of the density parameter $r_s$, spin-polarization $\zeta$ and the temperature $T$. We explicitly treat…

Strongly Correlated Electrons · Physics 2009-11-11 M. W. C. Dharma-wardana

We consider a microscopic model of spacetime, where spacetime is assumed to be a specific graph with Planck size quantum black holes on its vertices. As a thermodynamical system under consideration we take a certain uniformly accelerating,…

General Relativity and Quantum Cosmology · Physics 2008-10-28 Jarmo Makela

Climate change mitigation in urban mobility requires policies reconfiguring urban form to increase accessibility and facilitate low-carbon modes of transport. However, current policy research has insufficiently assessed urban form effects…