Reverse osmotic effect in active matter

In nonequilibrium active matter systems, a spatial variation in activity can lead to a spatial variation in concentration of active particles satisfying, at steady state, the condition nU = const [Schnitzer, Phys. Rev. E 48, 2553 (1993); Tailleur and Cates, Phys. Rev. Lett. 100, 218103 (2008)], where n is the number density and U is the active (swim) speed. We show that this condition holds even when the variation is abrupt and when thermal Brownian motion is present provided that the Péclet number is large. This spatial variation in swim speed and concentration produces a fluid pressure distribution that drives a reverse osmotic flow—fluid flows from regions of high concentration to low

Reverse osmotic effect in active matter

In nonequilibrium active matter systems, a spatial variation in activity can lead to a spatial variation in concentration of active particles satisfying, at steady state, the condition nU = const [Schnitzer, Phys. Rev. E 48, 2553 (1993); Tailleur and Cates, Phys. Rev. Lett. 100, 218103 (2008)], where n is the number density and U is the active (swim) speed. We show that this condition holds even when the variation is abrupt and when thermal Brownian motion is present provided that the Péclet number is large. This spatial variation in swim speed and concentration produces a fluid pressure distribution that drives a reverse osmotic flow—fluid flows from regions of high concentration to low

Kinetic temperature and pressure of an active Tonks gas

Using computer simulation and analytical theory, we study an active analog of the well-known Tonks gas, where active Brownian particles are confined to a one-dimensional (1D) channel. By introducing the notion of a kinetic temperature, we derive an accurate analytical expression for the pressure and clarify the paradoxical behavior where active Brownian particles confined to 1D exhibit anomalous clustering but no motility-induced phase transition. More generally, this work provides a deeper understanding of pressure in active systems as we uncover a unique link between the kinetic temperature and swim pressure valid for active Brownian particles in higher dimensions.Comment: 4 page main text + 3 page SI. Simulation videos available at: https://www.dropbox.com/sh/3jz9bmgv1gfbfd1/AACj8DoMqXtg7U0OKpjkQrMaa?dl=

Mechanical Theory of Nonequilibrium Coexistence and Motility-Induced Phase Separation

Nonequilibrium phase transitions are routinely observed in both natural and synthetic systems. The ubiquity of these transitions highlights the conspicuous absence of a general theory of phase coexistence that is broadly applicable to both nonequilibrium and equilibrium systems. Here, we present a general mechanical theory for phase separation rooted in ideas explored nearly a half-century ago in the study of inhomogeneous fluids. The core idea is that the mechanical forces within the interface separating two coexisting phases uniquely determine coexistence criteria, regardless of whether a system is in equilibrium or not. We demonstrate the power and utility of this theory by applying it to active Brownian particles, predicting a quantitative phase diagram for motility-induced phase separation in both two and three dimensions. This formulation additionally allows for the prediction of novel interfacial phenomena, such as an increasing interface width while moving deeper into the two-phase region, a uniquely nonequilibrium effect confirmed by computer simulations. The self-consistent determination of bulk phase behavior and interfacial phenomena offered by this mechanical perspective provide a concrete path forward towards a general theory for nonequilibrium phase transitions.Comment: 9 page main text + 7 page SI. Comments welcome

Mechanical Approach to Active Matter: Reverse Osmotic Effect and Motility-Induced Phase Separation

The defining feature of active matter, self-propulsion requires constant consumption of energy to be maintained. As a result, active matter systems are inherently out of equilibrium and some principles that are accepted as common knowledge, particularly from thermodynamics, do not apply to the active matter systems. Arguably the most popular example is the motility-induced phase separation (MIPS) -- active matter can spontaneously phase separate into liquid-like dense phase and gas-like sparse phase even without any attractive interactions between the self-propelling constituents. In this thesis, I demonstrate the utility of a mechanical perspective in revealing and understanding the underlying physics of seemingly confounding behaviors of active matter systems. In Chapters 2 and 3, I consider the mechanics of a suspension of active colloidal particles when the transport properties (self-propelling speed and diffusivities) vary spatially. The mechanical analysis reveals the reverse-osmotic nature of active matter systems with a spatial variation in activity. I provide an explanation for why physical processes governed by the osmotic pressure of particles can appear in a reversed manner in active matter systems, e.g. a fluid can flow from regions of high concentration to low in a suspension of active colloids. In Chapter 4, I develop a mechanical theory of phase coexistence that applies to both equilibrium and nonequilibrium systems. By applying the mechanical theory to MIPS, I find phase coexistence conditions of the MIPS that allow a construction of a phase diagram, which excellently agrees with the results from computer simulations. The mechanical theory also allows access to the microscopic structure of phase interfaces. By investigating the interfacial structure, I discover interesting nonequilibrium interfacial behavior of the MIPS. I find that the width of the MIPS interface varies nonmonotically with the activity of particles and provide a mechanical explanation for the phenomena