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Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

In diffusion-based molecular communication, information particles locomote via a diffusion process, characterized by random movement and heavy tail distribution for the random arrival time. As a result, the molecular communication shows…

Emerging Technologies · Computer Science 2017-04-05 Changmin Lee , H. Birkan Yilmaz , Chan-Byoung Chae , Nariman Farsad , Andrea Goldsmith

In this paper, a simple memory limited transmitter for molecular communication is proposed, in which information is encoded in the diffusion rate of the molecules. Taking advantage of memory, the proposed transmitter reduces the ISI problem…

Information Theory · Computer Science 2014-10-30 Mohammad Movahednasab , Mehdi Soleimanifar , Amin Gohari , Masoumeh Nasiri Kenari , Urbashi Mitra

The flow near a moving contact line is primarily governed by three key parameters: viscosity ratio, dynamic contact angle, and inertia. While the behavior of dynamic contact angles has been extensively studied in earlier experimental and…

When addressing spatial biological questions using mathematical models, symmetries within the system are often exploited to simplify the problem by reducing its physical dimension. In a reduced-dimension model molecular movement is…

Quantitative Methods · Quantitative Biology 2025-02-17 Natasha S. Savage

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two indistinguishable fluids. The enhancement of the diffusive transport depends on the system size L and grows…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

Stimuli-responsive materials that modify their shape in response to changes in environmental conditions -- such as solute concentration, temperature, pH, and stress -- are widespread in nature and technology. Applications include micro- and…

Fluid Dynamics · Physics 2017-07-05 Lefteris I. Kosmidis , Kaare H. Jensen

Propagation of solitary waves in the presence of autocatalysis, diffusion, and symmetry breaking (differential) advection, is being studied. The focus is on drifting (propagating with advection) pulses that form via a convective instability…

Pattern Formation and Solitons · Physics 2010-02-08 Arik Yochelis , Moshe Sheintuch

Implicit time-stepping for advection is applied locally in space and time where Courant numbers are large, but standard explicit time-stepping is used for the remaining solution which is typically the majority. This adaptively implicit…

Fluid Dynamics · Physics 2024-06-14 Hilary Weller , Christian Kuehnlein , Piotr K. Smolarkiewicz

This work presents a performance analysis for diffusive molecular communication with mobile transmit and receive nanomachines. To begin with, the optimal test is obtained for symbol detection at the receiver nanomachine. Subsequently,…

Information Theory · Computer Science 2017-10-04 Neeraj Varshney , Aditya K. Jagannatham , Pramod K. Varshney

In diffusion-based molecular communications, messages can be conveyed via the variation in the concentration of molecules in the medium. In this paper, we intend to analyze the achievable capacity in transmission of information from one…

Information Theory · Computer Science 2011-05-11 Arash Einolghozati , Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

This survey paper focuses on modulation aspects of molecular communication, an emerging field focused on building biologically-inspired systems that embed data within chemical signals. The primary challenges in designing these systems are…

Emerging Technologies · Computer Science 2020-12-29 Mehmet Sukru Kuran , H. Birkan Yilmaz , Ilker Demirkol , Nariman Farsad , Andrea Goldsmith

Molecular communication (MC), one of the emerging techniques in the field of communication, is entering a new phase following several decades of foundational research. Recently, attention has shifted toward MC in liquid media, particularly…

Information Theory · Computer Science 2025-06-03 Yun-Feng Lo , Changmin Lee , Chan-Byoung Chae

This work considers the problem of flow-induced diffusive molecular communication under various mobility conditions such as (i) both transmitter (TX) and receiver (RX) nanomachines are mobile, (ii) TX is mobile and RX is fixed, and (iii) TX…

Information Theory · Computer Science 2018-06-14 Neeraj Varshney , Werner Haselmayr , Weisi Guo

Diffusive transport is a universal phenomenon, throughout both biological and physical sciences, and models of diffusion are routinely used to interrogate diffusion-driven processes. However, most models neglect to take into account the…

Quantitative Methods · Quantitative Biology 2015-10-28 Paul R. Taylor , Christian A. Yates , Matthew J. Simpson , Ruth E. Baker

Electronic transport properties for single-molecule junctions have been widely measured by several techniques, including mechanically controllable break junctions, electromigration break junctions or by means of scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Ferdinand Evers , Richard Korytár , Sumit Tewari , Jan M. van Ruitenbeek

In this paper we consider an advection-diffusion equation, in one space dimension, whose diffusivity can be negative. Such equations arise in particular in the modeling of vehicular traffic flows or crowds dynamics, where a negative…

Analysis of PDEs · Mathematics 2019-03-27 Andrea Corli , Luisa Malaguti

Two-scale models pose a promising approach in simulating reactive flow and transport in evolving porous media. Classically, homogenized flow and transport equations are solved on the macroscopic scale, while effective parameters are…

Analysis of PDEs · Mathematics 2022-02-01 Stephan Gärttner , Peter Knabner , Nadja Ray

A diffusion-based molecular communication system has two major components: the diffusion in the medium, and the ligand-reception. Information bits, encoded in the time variations of the concentration of molecules, are conveyed to the…

Information Theory · Computer Science 2012-05-23 Arash Einolghozati , Mohsen Sardari , Faramarz Fekri

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

Numerical Analysis · Mathematics 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti