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Inertial pumping is a promising new method of moving fluids through microchannels but many of its properties remain unexplored. In this work, inertial flow rates are investigated for different channel lengths, operating temperatures, and…

Fluid Dynamics · Physics 2022-02-03 Pavel E. Kornilovitch , Tyler Cochell , Alexander N. Govyadinov

The paper presents a new type of weakly nonlinear two-scale model of controllable periodic porous piezoelectric structures saturated by Newtonian fluids. The flow is propelled by peristaltic deformation of microchannels which is induced due…

Analysis of PDEs · Mathematics 2024-07-18 Eduard Rohan , Vladimír Lukeš

We report on a novel extension of the recent phase-field crystal (PFC) method introduced in [Elder et al., Phys. Rev. Lett., Vol. 88, 245701:1-4 (2002)], which incorporates elastic interactions as well as crystal plasticity and diffusive…

Materials Science · Physics 2009-11-11 Peter Stefanovic , Mikko Haataja , Nikolas Provatas

We present a novel multi-fluid model for compressible two-phase flows. The model is derived through a newly developed Stationary Action Principle framework. It is fully closed and introduces a new interfacial quantity, the interfacial work.…

Analysis of PDEs · Mathematics 2026-03-20 Ward Haegeman , Giuseppe Orlando , Samuel Kokh , Marc Massot

We are interested in exploring interacting particle systems that can be seen as microscopic models for a particular structure of coupled transport flux arising when different populations are jointly evolving. The scenarios we have in mind…

Analysis of PDEs · Mathematics 2017-03-08 Manh Hong Duong , Adrian Muntean , Omar Richardson

We use numerical simulations to examine two-dimensional particle mixtures that strongly phase separate in equilibrium. When the system is externally driven in the presence of quenched disorder, plastic flow occurs in the form of meandering…

Statistical Mechanics · Physics 2009-11-13 A. Libal , C. Reichhardt , C. J. Olson Reichhardt

Living cells and tissues can generate complex patterns of electric fields and fluid flows which can play important role in physiology. Both, fields and flows are rooted in ion transport across biological interfaces: cell membranes and…

Soft Condensed Matter · Physics 2026-05-22 Amit Singh Vishen , Ahandeep Manna , Frank Jülicher

We analyze the operation of a molecular machine driven by the non-adiabatic variation of external parameters. We derive a formula for the integrated flow from one configuration to another, obtain a "no-pumping theorem" for cyclic processes…

Statistical Mechanics · Physics 2008-10-08 Saar Rahav , Jordan Horowitz , Christopher Jarzynski

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model immiscible binary mixtures. Excluded volume interactions between the two components are modeled by stochastic multiparticle…

Soft Condensed Matter · Physics 2015-05-13 Erkan Tuzel , Guoai Pan , Thomas Ihle , Daniel M. Kroll

We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

Analysis of PDEs · Mathematics 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

A one-dimensional model of inertial pumping is introduced and solved. The pump is driven by a high-pressure vapor bubble generated by a microheater positioned asymmetrically in a microchannel. The bubble is approximated as a short-term…

Other Condensed Matter · Physics 2013-02-22 P. E. Kornilovitch , A. N. Govyadinov , D. P. Markel , E. D. Torniainen

The paper presents a new type of weakly nonlinear two-scale model of inflatable periodic poroelastic structures saturated by Newtonian fluids. The periodic microstructures incorporate fluid inclusions connected to the fluid channels by…

Analysis of PDEs · Mathematics 2025-08-28 Eduard Rohan , Vladimír Lukeš

Particles suspended in fluid flow through a closed duct can focus to specific stable locations in the duct cross-section due to hydrodynamic forces arising from the inertia of the disturbed fluid. Such particle focusing is exploited in…

Fluid Dynamics · Physics 2023-01-25 Rahil Valani , Brendan Harding , Yvonne Stokes

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

Quantum Gases · Physics 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for…

Pattern Formation and Solitons · Physics 2015-05-13 M. A. Dahlem , G. Hiller , A. Panchuk , E. Schoell

Spatially resolved electron energy-loss spectroscopy (EELS) in a scanning transmission electron microscope (STEM) has been used to investigate as fluidic phase in nanoubbles embedded in a metallic Pd90Pt10 matrix. Using the 1s->2p…

Materials Science · Physics 2016-08-14 D. Taverna , M. Kociak , O. Stéphan , A. Fabre , E. Finot , B. Décamps , C. Colliex

The rectification of electro-osmotic flows is important in micro/nano fluidics applications such as micro-pumps and energy conversion devices. Here, we propose a simple electro-osmotic diode in which colloidal particles are contained…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Shihori Koyama , Daisuke Inoue , Akihisa Okada , Hiroaki Yoshida

We show both numerically and analytically that a chemically patterned active pore can act as a micro/nano-pump for fluids, even if it is fore-aft symmetric. This is possible due to a spontaneous symmetry breaking which occurs when advection…

Soft Condensed Matter · Physics 2022-10-26 G. C. Antunes , P. Malgaretti , J. Harting , S. Dietrich

An one-parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. Limit cycles are described by the solutions of an extended…

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