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We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

In this Letter a N-body theory for the radiative heat exchange in thermally non equilibrated discrete systems of finite size objects is presented. We report strong exaltation effects of heat flux which can be explained only by taking into…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Philippe Ben-Abdallah , Svend-Age Biehs , Karl Joulain

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

Soft Condensed Matter · Physics 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic field. We show for such mediums that electromagnetic waves…

Analysis of PDEs · Mathematics 2008-05-15 Yuliya V. Namlyeyeva , Roman M. Taranets

We study the heat transfer between elastic solids with randomly rough surfaces. We include both the heat transfer from the area of real contact, and the heat transfer between the surfaces in the noncontact regions. We apply a recently…

Soft Condensed Matter · Physics 2009-08-28 B. N. J. Persson , B. Lorenz , A. I. Volokitin

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to…

Statistical Mechanics · Physics 2023-05-23 Andrea Plati , Andrea Puglisi , Alessandro Sarracino

The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting…

Analysis of PDEs · Mathematics 2012-07-04 A. G. Ramm

We propose algorithms for determining both lower and upper bounds for the energy barriers encountered by a flux line in moving through a two-dimensional random potential. Analytical arguments, supported by numerical simulations, suggest…

Condensed Matter · Physics 2016-08-31 Lev V. Mikheev , Barbara Drossel , Mehran Kardar

Motivated by a mathematical model for the transport of morphogenes in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial-boundary value problem associated with a nonlinear flux--limited diffusion…

Analysis of PDEs · Mathematics 2012-06-01 Fuensanta Andreu , Juan Calvo , José M. Mazón , Juan Soler

We derive shape-independent limits to the spectral radiative heat-transfer rate between two closely spaced bodies, generalizing the concept of a black body to the case of near-field energy transfer. Through conservation of energy and…

Optics · Physics 2015-11-18 Owen D. Miller , Steven G. Johnson , Alejandro W. Rodriguez

Quantum communications promises reliable transmission of quantum information, efficient distribution of entanglement and generation of completely secure keys. For all these tasks, we need to determine the optimal point-to-point rates that…

Quantum Physics · Physics 2017-04-27 Stefano Pirandola , Riccardo Laurenza , Carlo Ottaviani , Leonardo Banchi

We considered the wave propagation between two medias. For description of physical model choose nonlinear Schredinger equation with saturation parameter. The solutions of respectively equation are found and analyzed.

Pattern Formation and Solitons · Physics 2007-05-23 Dmitry Levko

The concept of the energy gap is a fundamental characteristic of the band structure of a material and it determines its physical properties. Formally the energy gap appears in the dispersion relation $E_k$, where the vector $k$ is…

Strongly Correlated Electrons · Physics 2023-08-16 Yuriy Yerin , A. A. Varlamov , Roberto Felici , Aldo Di Carlo

The present work is aimed to find suitable exchange conditions for saturated fluid flow in a porous medium, when a fractal microstructure is embedded in the porous matrix. Two different deterministic models are introduced and rigorously…

Analysis of PDEs · Mathematics 2020-08-21 Fernando A Morales , Luis C Aristizábal

This paper models light scattering through flat surfaces with finite transmission, reflection and absorption rates, with wave packets approaching the mirror from both sides. While using the same notion of photons as in free space, our model…

Quantum Physics · Physics 2018-04-18 Nicholas Furtak-Wells , Lewis A. Clark , Robert Purdy , Almut Beige

In most electronic devices, electric current of both types (electrons and holes) flows through a junction. Usually the boundary conditions have been formulated exclusively for open circuit. The boundary conditions proposed here bypass this…

Materials Science · Physics 2009-11-07 O. Yu. Titov , J. Giraldo , Yu. G. Gurevich

We study the fluctuation electromagnetic interaction in a system of two rotating electrically neutral nonmagnetic particles with allowance for relativistic retardation effect. The particles are assumed to have different temperatures being…

Mesoscale and Nanoscale Physics · Physics 2012-10-26 A. A. Kyasov , G. V. Dedkov

The surface texture of materials plays a critical role in wettability, turbulence and transport phenomena. In order to design surfaces for these applications, it is desirable to characterise non-smooth and porous materials by their ability…

Fluid Dynamics · Physics 2019-12-10 Uǧis Lācis , Y. Sudhakar , Simon Pasche , Shervin Bagheri

We investigate the maximum rates for transmitting quantum information, distilling entanglement, and distributing secret keys between a sender and a receiver in a multipoint communication scenario, with the assistance of unlimited two-way…

Quantum Physics · Physics 2017-11-30 Riccardo Laurenza , Stefano Pirandola

A non-reciprocal phonon model for microwave or optical isolators is considered. It gives a simpler framework to further investigate the formerly argued possibility for a heat transfer between black bodies at common temperatures. While the…

Statistical Mechanics · Physics 2007-05-23 Alejandro Cabo Montes de Oca