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A method is presented for approximating the effective conductivity of composite media with thin interphase regions, which is exact to first order in the interphase thickness. The approximations are computationally efficient in the sense the…

Analysis of PDEs · Mathematics 2015-06-15 Bacim Alali , Graeme W. Milton

Many complex structures and stochastic patterns emerge from simple kinetic rules and local interactions, and are governed by scale invariance properties in combination with effects of the global geometry. We consider systems that can be…

Statistical Mechanics · Physics 2013-09-17 Adnan Ali , Robin C. Ball , Stefan Grosskinsky , Ellak Somfai

Structures such as waves, jets, and vortices have a dramatic impact on the transport properties of a flow. Passive tracer transport in incompressible two-dimensional flows is described by Hamiltonian dynamics, and, for idealized structures,…

chao-dyn · Physics 2009-10-22 Jeffrey B. Weiss

The role of the interface potential on the effective mass of charge carriers is elucidated in this work. We develop a new theoretical formalism using a spatially dependent effective mass that is related to the magnitude of the interface…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 E. G. Barbagiovanni , S. Cosentino , D. J. Lockwood , R. N. Costa Filho , A. Terrasi , S. Mirabella

Understanding phonon transport mechanisms in nanostructures is of great importance for delicately tailoring thermal properties. Combining phonon particle and wave effects through different strategies, previous studies have obtained…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 Dengke Ma , Anuj Arora , Shichen Deng , Junichiro Shiomi , Nuo Yang

While equilibrium interfaces display universal large-scale statistics, interfaces in phase-separated active and driven systems are predicted to belong to distinct non-equilibrium universality classes. Yet, such behavior has proven difficult…

Statistical Mechanics · Physics 2026-04-08 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

Nanochains of atoms, molecules and polymers have gained recent interest in the experimental sciences. This article contributes to an advanced mathematical modeling of the mechanical properties of nanochains that allow for heterogenities,…

Analysis of PDEs · Mathematics 2019-09-17 Laura Lauerbach , Stefan Neukamm , Mathias Schäffner , Anja Schlömerkemper

Graphene quantum dots (GQD) are interesting materials due to the confined sizes which allow to exploit their optoelectronic properties, especially when they interface with organic molecules through physisorption. In particular, when…

Materials Science · Physics 2019-10-23 Silvio Osella , Stefan Knippenberg

Materials with nanoscale phase separation are considered. These materials are formed by a mixture of several phases, so that inside one phase there exist nanosize inclusions of other phases, with random shapes and random spatial locations.…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 V. I. Yukalov , E. P. Yukalova

$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the…

Quantum Gases · Physics 2024-10-09 Ludovic Pricoupenko

The nonstationary and steady-state transport through a mesoscopic sample connected to particle reservoirs via time-dependent barriers is investigated within the reduced density operator method. The generalized Master equation is solved via…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn

Membranes regulate transport in a wide variety of industrial and biological applications. The microscale geometry of the membrane can significantly affect overall transport through the membrane, but the precise nature of this multiscale…

Soft Condensed Matter · Physics 2026-02-02 Molly Brennan , Edwina F. Yeo , Philip Pearce , Mohit P. Dalwadi

The formation of metallic nanofilaments bridging two electrodes across an insulator is a mechanism for resistive switching. Examples of such phenomena include atomic synapses, which constitute a distinct class of memristive devices whose…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Alison A. Silva , Fabiano M. Andrade , Francesco Caravelli

Oxide interfaces provide an opportunity for electronics. However, patterning of electron gases at complex oxide interfaces is challenging. In particular, patterning of complex oxides while preserving a high electron mobility remains…

The atomic-level structural detail and the quantum effects are becoming crucial to device performance as the emerging advanced transistors, representatively GAAFETs, are scaling down towards sub-3nm nodes. However, a multiscale simulation…

Applied Physics · Physics 2023-08-17 Yue-Yang Liu , Haoran Lu , Zirui Wang , Hui-Xiong Deng , Lang Zeng , Zhongming Wei , Jun-Wei Luo , Runsheng Wang

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees

Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material…

Materials Science · Physics 2015-12-21 Mihai Caleap , Bruce W Drinkwater

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

We study numerically the roughening properties of an interface in a two-dimensional Ising model with either random bonds or random fields, which are representative of universality classes where disorder acts only on the interface or also…

Statistical Mechanics · Physics 2016-04-28 Federico Corberi , Eugenio Lippiello , Marco Zannetti