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It is found experimentally that the coexistence region of a vapor-liquid system or a binary mixture is substantially narrowed when the fluid is confined in a aerogel with a high degree of porosity (e.g. of the order of 95% to 99%). A…

Statistical Mechanics · Physics 2007-05-23 Rafael Salazar , Raul Toral , Amitabha Chakrabarti

We study phenomena where some eigenvectors of a graph Laplacian are largely confined in small subsets of the graph. These localization phenomena are similar to those generally termed Anderson Localization in the Physics literature, and are…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Poorva Shukla , Bassam Bamieh

Experiments suggest that localization via self-trapping plays a central role in the behavior of equilibrated low mass particles in both liquids and in supercritical fluids. In the latter case, the behavior is dominated by the liquid-vapor…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Bruce N. Miller , Terrence L. Reese

We study the delocalization effect of a short-range repulsive interaction on the ground state of a finite density of spinless fermions in strongly disordered one dimensional lattices. The density matrix renormalization group method is used…

Strongly Correlated Electrons · Physics 2009-10-31 Dietmar Weinmann , Peter Schmitteckert , Rodolfo A. Jalabert , Jean-Louis Pichard

We analyze the dynamics of a tracer particle embedded in a bath of hard spheres confined in a channel of varying section. By means of Brownian dynamics simulations we apply a constant force on the tracer particle and discuss the dependence…

Soft Condensed Matter · Physics 2018-11-14 Antonio M. Puertas , Paolo Malgaretti , Ignacio Pagonabarraga

Gels in soft-matter systems are an important nonergodic state of matter. We study a colloid-polymer mixture which is quenched by increasing the polymer concentration, from a fluid to a gel. Using confocal microscopy, we study both the…

Soft Condensed Matter · Physics 2009-04-20 Takehiro Ohtsuka , C. Patrick Royall , Hajime Tanaka

Two decades of experimental research indicates that spatial confinement of glass-forming molecular and polymeric liquids results in major changes of their slow dynamics beginning at large confinement distances. A fundamental understanding…

Soft Condensed Matter · Physics 2015-06-23 Stephen Mirigian , Kenneth S. Schweizer

We study how confining the equilibrium hard-sphere fluid to restrictive one- and two-dimensional channels with smooth interacting walls modifies its structure, dynamics, and entropy using molecular dynamics and transition-matrix Monte Carlo…

Statistical Mechanics · Physics 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at…

Statistical Mechanics · Physics 2024-01-12 Luca Angelani

This article gives an overview of recent theoretical and experimental findings concerning the hydrodynamic interaction between liquid-embedded particles in various confined geometries. A simple unifying description emerges, which accounts…

Soft Condensed Matter · Physics 2009-04-12 Haim Diamant

The one-dimensional random trap model with a power-law distribution of mean sojourn times exhibits a phenomenon of dynamical localization in the case where diffusion is anomalous: The probability to find two independent walkers at the same…

Data Analysis, Statistics and Probability · Physics 2015-03-03 Franziska Flegel , Igor M. Sokolov

A statistical analysis of the geometries of particle trajectories in the supercooled liquid state is reported. We examine two structurally different fragile glass-forming liquids simulated by molecular dynamics. In both liquids, the…

Soft Condensed Matter · Physics 2008-11-19 Tomas Oppelstrup , Mikhail Dzugutov

Water molecules confined between biological membranes exhibit a distinctive non-Gaussian displacement distribution, far different from bulk water. Here, we introduce a new transport equation for water molecules in the intermembrane space,…

Soft Condensed Matter · Physics 2024-04-19 Minho Lee , Euihyun Lee , Ji-Hyun Kim , Hyonseok Hwang , Minhaeng Cho , Jaeyoung Sung

The dynamics of complex systems generally include high-dimensional, non-stationary and non-linear behavior, all of which pose fundamental challenges to quantitative understanding. To address these difficulties we detail a new approach based…

Quantitative Methods · Quantitative Biology 2020-09-11 Antonio Carlos Costa , Tosif Ahamed , Greg J. Stephens

We study driven particle systems with excluded volume interactions on a two-lane ladder with periodic boundaries, using Monte Carlo simulation, cluster mean-field theory, and numerical solution of the master equation. Particles in one lane…

Statistical Mechanics · Physics 2009-11-13 Ronald Dickman , Ronaldo R. Vidigal

Ionic liquids constrained at interfaces or restricted in subnanometric pores are increasingly employed in modern technologies, including energy applications. Understanding the details of their behavior in these conditions is therefore…

Materials Science · Physics 2018-09-25 Stefano Mossa

Thin liquid films on surfaces are part of our everyday life, they serve e.g. as coatings or lubricants. The stability of a thin layer is governed by interfacial forces, described by the effective interface potential, and has been subject of…

Soft Condensed Matter · Physics 2015-06-04 Oliver Bäumchen , Renate Fetzer , Mischa Klos , Matthias Lessel , Ludovic Marquant , Hendrik Hähl , Karin Jacobs

We derive a general closed expression for the local pressure exerted onto the corrugated walls of a channel confining a fluid medium. When the fluid medium is at equilibrium the local pressure is a functional of the shape of the walls. It…

Soft Condensed Matter · Physics 2018-02-07 Paolo Malgaretti , Markus Bier

The random Lorentz gas is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence…

Disordered Systems and Neural Networks · Physics 2015-05-20 Yuliang Jin , Patrick Charbonneau

The ability to navigate in complex, inhomogeneous environments is fundamental to survival at all length scales, giving rise to the rapid development of various subfields in bio-locomotion such as the well established concept of chemotaxis.…

Soft Condensed Matter · Physics 2020-05-06 Yuanjian Zheng , Hartmut Löwen