Simulation of Heat Conduction in Non-Local Media with Consideration for Heat Accumulation

Abstract Malfeasance in local governments is common in developing democracies. Electoral accountability could mitigate such malfeasance, but may require media market structures that incentivise profit-maximising local media to report on incumbent malfeasance. We test this claim in Mexico, leveraging plausibly exogenous variation in the pre-election release of municipal audits revealing misallocated spending and access to broadcast media. We find that each additional local media station amplifies voter punishment (rewards) of high (zero) malfeasance by up to 1 percentage point. Local media’s accountability-enhancing effects are greater when there are fewer non-local competitors and where local outlets’ audiences principally reside within their municipality.

Download Full-text

Solitary waves in strongly non-local media with a harmonic potential

Pramana ◽

10.1007/s12043-019-1832-1 ◽

2019 ◽

Vol 93 (5) ◽

Cited By ~ 1

Author(s):

Yun-Zhou Sun ◽

Qin Wu ◽

Min Wang ◽

Jing-Yan Li

Keyword(s):

Solitary Waves ◽

Harmonic Potential ◽

Local Media ◽

Non Local

Download Full-text

Waves in Micropolar and Non-Local Media

Studies in Applied Mechanics - Vibrations and Waves ◽

10.1016/b978-0-444-98690-0.50015-8 ◽

1992 ◽

pp. 65-68

Keyword(s):

Local Media ◽

Non Local

Download Full-text

An extended thermodynamic model of transient heat conduction at sub-continuum scales

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2011.0087 ◽

2011 ◽

Vol 467 (2135) ◽

pp. 3241-3256 ◽

Cited By ~ 40

Author(s):

G. Lebon ◽

H. Machrafi ◽

M. Grmela ◽

Ch. Dubois

Keyword(s):

Heat Conduction ◽

Thermodynamic Description ◽

Type Equation ◽

Transient Heat Conduction ◽

Irreversible Thermodynamics ◽

Extended Thermodynamic ◽

Heat Flux Vector ◽

The Status ◽

Non Local ◽

Ballistic Phonons

A thermodynamic description of transient heat conduction at small length and timescales is proposed. It is based on extended irreversible thermodynamics and the main feature of this formalism is to elevate the heat flux vector to the status of independent variable at the same level as the classical variable, the temperature. The present model assumes the coexistence of two kinds of heat carriers: diffusive and ballistic phonons. The behaviour of the diffusive phonons is governed by a Cattaneo-type equation to take into account the high-frequency phenomena generally present at nanoscales. To include non-local effects that are dominant in nanostructures, it is assumed that the ballistic carriers are obeying a Guyer–Krumhansl relation. The model is applied to the problem of transient heat conduction through a thin nanofilm. The numerical results are compared with those provided by Fourier, Cattaneo and other recent models.

Download Full-text

Advanced materials modelling via fractional calculus: challenges and perspectives

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2020.0050 ◽

2020 ◽

Vol 378 (2172) ◽

pp. 20200050

Author(s):

Giuseppe Failla ◽

Massimiliano Zingales

Keyword(s):

Fractional Calculus ◽

Long Memory ◽

Experimental Studies ◽

Advanced Materials ◽

Fractional Operators ◽

Theme Issue ◽

Materials Modelling ◽

Local Media ◽

Non Local ◽

Complex Phenomena

Fractional calculus is now a well-established tool in engineering science, with very promising applications in materials modelling. Indeed, several studies have shown that fractional operators can successfully describe complex long-memory and multiscale phenomena in materials, which can hardly be captured by standard mathematical approaches as, for instance, classical differential calculus. Furthermore, fractional calculus has recently proved to be an excellent framework for modelling non-conventional fractal and non-local media, opening valuable prospects on future engineered materials. The theme issue gathers cutting-edge theoretical, computational and experimental studies on advanced materials modelling via fractional calculus, with a focus on complex phenomena and non-conventional media. This article is part of the theme issue ‘Advanced materials modelling via fractional calculus: challenges and perspectives’.

Download Full-text