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We investigate a quasicontinuum method by means of analytical tools. More precisely, we compare a discrete-to-continuum analysis of an atomistic one-dimensional model problem with a corresponding quasicontinuum model. We consider next and…

Analysis of PDEs · Mathematics 2014-11-12 Mathias Schäffner , Anja Schlömerkemper

The inherent vulnerability of wireless communication necessitates strategies to enhance its security, particularly in the face of jamming attacks. This paper uses the collaborations of multiple sensing nodes (SNs) in the wireless network to…

Information Theory · Computer Science 2025-09-16 Amir Mehrabian , Georges Kaddoum

Covert transmission is investigated for a cooperative deception strategy, where a cooperative jammer (Jammer) tries to attract a multi-antenna adversary (Willie) and degrade the adversary's reception ability for the signal from a…

Signal Processing · Electrical Eng. & Systems 2022-09-23 Jiangbo Si , Zizhen Liu , Zan Li , Hang Hu , Lei Guan , Chao Wang , Naofal Al-Dhahir

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

Soft Condensed Matter · Physics 2009-10-08 Z. Usatenko

A simple statistical mechanical approach for studying multilayer adsorption of interacting polyatomic adsorbates (k-mers) has been presented. The new theoretical framework has been developed on a generalization in the spirit of the…

Materials Science · Physics 2009-11-13 G. D. Garcia , F. O. Sanchez-Varretti , F. Roma , A. J. Ramirez-Pastor

Chain-like macromolecules (polymers) show characteristic adsorption properties due to their flexibility and internal degrees of freedom, when attracted to surfaces and interfaces. In this review we discuss concepts and features that are…

Soft Condensed Matter · Physics 2009-11-07 Roland Netz , David Andelman

We present a new approach to derive the connectivity properties of pairwise interacting n-body systems in thermal equilibrium. We formulate an integral equation that relates the pair connectedness to the distribution of nearest neighbors.…

Statistical Mechanics · Physics 2020-07-01 Fabian Coupette , Andreas Härtel , Tanja Schilling

The Ising chain with kinetic constraints provides many examples of totally irreversible zero-temperature dynamics leading to metastability with an exponentially large number of attractors. In most cases, the constrained zero-temperature…

Statistical Mechanics · Physics 2023-09-12 P. L. Krapivsky , J. M. Luck

We analyze here a model for an adsorbate system composed of many layers by extending a theoretical approach used to describe pattern formation on a monolayer of adsorbates with lateral interactions. The approach shows, in addition to a…

Statistical Mechanics · Physics 2009-11-07 S. B. Casal , Horacio S. Wio , S. Mangioni

We present a new paradigm for capturing the complementarity of two observables. It is based on the entanglement created by the interaction between the system observed and the two measurement devices used to measure the observables…

Quantum Physics · Physics 2014-01-29 Patrick J. Coles , Marco Piani

Lattice model of directed self avoiding walk is used to investigate adsorption properties of a semiflexible sequential copolymer chain on an impenetrable curved surface on a hexagonal lattice in two dimensions. Walks of the copolymer chains…

Statistical Mechanics · Physics 2010-06-02 Pramod Kumar Mishra

We propose a theoretical investigation of the physical adsorption of neutral comb-polymers with an adsorbing skeleton and non-adsorbing side-chains on a flat surface. Such polymers are particularly interesting as "dynamic coating" matrices…

Soft Condensed Matter · Physics 2009-11-11 Anna Sartori , Albert Johner , Jean-Louis Viovy , Jean-Francois Joanny

Gradient descent dynamics in complex energy landscapes, i.e. featuring multiple minima, finds application in many different problems, from soft matter to machine learning. Here, we analyze one of the simplest examples, namely that of soft…

Statistical Mechanics · Physics 2022-08-23 Alessandro Manacorda , Francesco Zamponi

Cognitive radio (CR) and non-orthogonal multiple access (NOMA) are two promising technologies in the next generation wireless communication systems. The security of a NOMA CR network (CRN) is important but lacks of study. In this paper, a…

Information Theory · Computer Science 2018-02-13 Fuhui Zhou , Zheng Chu , Haijian Sun , Victor C. M. Leung

The behavior of a system of two-dimensional elongated particles (discorectangles) packed into a slit between two parallel walls was analyzed using a simulation approach. The packings were produced using the random sequential adsorption…

Soft Condensed Matter · Physics 2021-12-09 Nikolai I. Lebovka , Mykhailo O. Tatochenko , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

We compute a rigorous asymptotic expansion of the energy of a point defect in a 1D chain of atoms with second neighbour interactions. We propose the Confined Lennard-Jones model for interatomic interactions, where it is assumed that nearest…

Analysis of PDEs · Mathematics 2014-04-14 Thomas Hudson

We use complete enumeration and Monte Carlo techniques to study two-dimensional self-avoiding polymer chains with quenched ``charges'' $\pm 1$. The interaction of charges at neighboring lattice sites is described by $q_i q_j$. We find that…

Soft Condensed Matter · Physics 2009-10-30 Ido Golding , Yacov Kantor

Compact analytical forms are derived for the interactions involving thin disks in two dimensions using an integration approach. These include interactions between a disk and a material point, between two disks, and between a disk and a…

Soft Condensed Matter · Physics 2025-11-27 Binghan Liu , Junwen Wang , Gary S. Grest , Shengfeng Cheng

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

Nuclear Theory · Physics 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho