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A basis set of generalized nonspherical Gaussian functions (GGTOs) is presented and discussed. As a first example we report on Born-Oppenheimer energies of the hydrogen molecule. Although accurate results have been obtained, we conclude…

Chemical Physics · Physics 2009-10-31 T. Detmer , P. Schmelcher , L. S. Cederbaum

In this paper we analyze the effect of randomly deleting streets of a synthetic city on the statistics of displacements. Our city is constituted initially by a set of streets that form a regular tessellation of the euclidean plane.…

Physics and Society · Physics 2018-08-23 Jorge H. Lopez

A two-dimensional model is proposed for energy efficiency assessment through the simulation of heat transfer in building envelopes, considering the influence of the surrounding environment. The model is based on the \DF ~approach that…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Julien Berger , Suelen Gasparin , Walter Mazuroski , Nathan Mendes

Understanding scaling relations of social and environmental attributes of urban systems is necessary for effectively managing cities. Urban scaling theory (UST) has assumed that population density scales positively with city size. We…

In this work, a two-dimensional one-band Hubbard model is investigated within a two-pole approximation. The model presents a non-local attractive potential $U (U<0)$ that allows the study of d-wave superconductivity and also includes…

Strongly Correlated Electrons · Physics 2011-01-12 E. J. Calegari , S. G. Magalhaes , C. M. Chaves , A. Troper

Challenges due to the rapid urbanization of the world -- especially in emerging countries -- range from an increasing dependence on energy, to air pollution, socio-spatial inequalities, environmental and sustainability issues. Modelling the…

Physics and Society · Physics 2019-05-07 Marc Barthelemy

In this article, we explore two effective means to communicate the concept of walkability - 1) visualization, and 2) descriptive statistics. We introduce the concept of walkability as measuring the quality of an urban space based on the…

Computers and Society · Computer Science 2023-10-12 Minkun Kim

The physical properties of a classical many-particle system with interactions given by a repulsive Gaussian pair potential are extended to arbitrarily high Euclidean dimensions. The goals of this paper are to characterize the behavior of…

Statistical Mechanics · Physics 2009-11-13 Chase E. Zachary , Frank H. Stillinger , Salvatore Torquato

This paper derives the exact cumulative density function of the distance between a randomly located node and any arbitrary reference point inside a regular $\el$-sided polygon. Using this result, we obtain the closed-form probability…

Information Theory · Computer Science 2013-06-27 Zubair Khalid , Salman Durrani

There is a consensus that Urban Heat Island phenomenon - UHI occurs in every large city. This effect is characterized by higher air temperatures in cities than in the neighboring countryside at night. However, to date, there has been no…

Atmospheric and Oceanic Physics · Physics 2022-05-03 A. de A. Coelho

We study the locality of the acceleration temperature in the Unruh effect. To this end, we develop a new formalism for the modeling of macroscopic irreversible detectors. In particular, the formalism allows for the derivation of the…

Quantum Physics · Physics 2015-05-30 Charis Anastopoulos , Ntina Savvidou

The response of solids to temperature gradients is often described in terms of a gravitational analogue: the effect of a space-dependent temperature is modeled using a space dependent metric. We investigate the validity of this approach in…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Jinhong Park , Omri Golan , Yuval Vinkler-Aviv , Achim Rosch

We consider a random variable expressed as the Euclidean distance between an arbitrary point and a random variable uniformly distributed in a closed and bounded set of a three-dimensional Euclidean space. Four cases are considered for this…

Probability · Mathematics 2019-06-05 Vincent Guigues

This work addresses the problem of simulating Gaussian random fields that are continuously indexed over a class of metric graphs, termed graphs with Euclidean edges, being more general and flexible than linear networks. We introduce three…

Statistics Theory · Mathematics 2024-04-29 Alfredo Alegría , Xavier Emery , Tobia Filosi , Emilio Porcu

Evidences are presented concerning tantalizing regularities in cities' population-flows in what regards to space and time correlations. The former exhibit a distance-behavior (for large distances) compatible with the inverse square law,…

Applications · Statistics 2012-07-30 A. Hernando , A. Plastino

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

The impact of heatwaves (HWs) on urban heat island (UHI) is a contentious topic with contradictory research findings. A comprehensive understanding of the response of urban and rural areas to HWs, considering the underlying cause of surface…

Atmospheric and Oceanic Physics · Physics 2023-05-04 Jing Kong , Yongling Zhao , Dominik Strebel , Kai Gao , Jan Carmeliet , Chengwang Lei

An expansion in the number of spatial covariant derivatives is carried out to compute the $\zeta$-function regularized effective action of 2+1-dimensional fermions at finite temperature in an arbitrary non-Abelian background. The real and…

High Energy Physics - Theory · Physics 2009-10-31 L. L. Salcedo

A strong-coupling series expansion for the Green's function and the extremely-correlated Fermi liquid (ECFL) theory are used to calculate the moments of the electronic spectral functions of the infinite-U Hubbard model. Results from these…

Strongly Correlated Electrons · Physics 2026-01-16 Ehsan Khatami , Daniel Hansen , Edward Perepelitsky , Marcos Rigol , B. Sriram Shastry

Aging in spin glasses is analyzed via the Probability Density Function (PDF) of the heat transfer between system and bath over a small time $\delta t$. The PDF contains a Gaussian part, describing reversible fluctuations, and an exponential…

Soft Condensed Matter · Physics 2007-05-23 Paolo Sibani , Henrik Jeldtoft Jensen