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We study the role of active coupling on the transport properties of homogeneously charged macromolecules in an infinitely dilute solution. An enzyme becomes actively bound to a segment of the macromolecule, exerting an electrostatic force…

软凝聚态物质 · 物理学 2024-05-24 Tapas Singha , Siao-Fong Li , Murugappan Muthukumar

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

材料科学 · 物理学 2011-07-28 Daniel A. Cogswell , W. Craig Carter

When a chaotic, ergodic Hamiltonian system with $N$ degrees of freedom is subject to sufficiently rapid periodic driving, its energy evolves diffusively. We derive a Fokker-Planck equation that governs the evolution of the system's…

统计力学 · 物理学 2021-03-01 Wade Hodson , Christopher Jarzynski

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

软凝聚态物质 · 物理学 2016-08-31 R. M. L. Evans , W. C. K. Poon

In the present paper the macroscopic limits of the kinetic model for inter-acting entities (individuals, organisms, cells) are studied. The kinetic model is one-dimensional and entities are characterized by their position and orientation…

偏微分方程分析 · 数学 2012-07-12 Jacek Banasiak , Miroslaw Lachowicz

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

统计力学 · 物理学 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

The hydrodynamic theory of active nematics has been often used to describe the spatio-temporal dynamics of cell flows and motile topological defects within soft confluent tissues. Those theories, however, often rely on the assumption that…

软凝聚态物质 · 物理学 2023-08-15 Ioannis Hadjifrangiskou , Liam J. Ruske , Julia M. Yeomans

A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelasticity with diffusion. The theory is developed in the…

数学物理 · 物理学 2024-04-17 Alexander Mielke , Tomáš Roubíček

Brownian yet non-Gaussian phenomenon has recently been observed in many biological and active matter systems. The main idea of explaining this phenomenon is to introduce a random diffusivity for particles moving in inhomogeneous…

统计力学 · 物理学 2022-01-19 Xudong Wang , Yao Chen

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

统计力学 · 物理学 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

A reduced 1D model describing the non-linear hybrid LIGKA/HAGIS simulations was developed and successfully tested in [Carlevaro et al. PPCF 64, 035010 (2022)] addressing the ITER 15MA baseline scenario. In this paper, we introduce a…

等离子体物理 · 物理学 2024-09-20 Nakia Carlevaro , Matteo V. Falessi , Giovanni Montani , Philipp Lauber

The effect of a diffusivity edge is studied in a system of scalar active matter confined by a periodic potential and driven by an externally applied force. We find that this system shows qualitatively distinct stationary regimes depending…

统计力学 · 物理学 2024-02-27 Jonas Berx , Aritra Bose , Ramin Golestanian , Benoît Mahault

We calculate the diffusion coefficient of an active tracer in a schematic crowded environment, represented as a lattice gas of passive particles with hardcore interactions. Starting from the master equation of the problem, we put forward a…

统计力学 · 物理学 2022-02-02 Pierre Rizkallah , Alessandro Sarracino , Olivier Bénichou , Pierre Illien

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

软凝聚态物质 · 物理学 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

We analyze the static response to kinetic perturbations of nonequilibrium steady states that can be modeled as diffusions. We demonstrate that kinetic response is purely a nonequilibirum effect, measuring the degree to which the…

统计力学 · 物理学 2024-04-16 Qi Gao , Hyun-Myung Chun , Jordan M. Horowitz

We consider Langevin dynamics associated with a modified kinetic energy vanishing for small momenta. This allows us to freeze slow particles, and hence avoid the re-computation of inter-particle forces, which leads to computational gains.…

统计力学 · 物理学 2016-07-20 Stephane Redon , Gabriel Stoltz , Zofia Trstanova

Phase field models are powerful tools to tackle free boundary problems. For phase transformations involving diffusion, the evolution of the non conserved phase field is coupled to the evolution of the conserved diffusion field. Introducing…

材料科学 · 物理学 2015-06-18 G. Boussinot , Efim A. Brener

We show that the dynamics of simple disordered models, like the directed Trap Model and the Random Energy Model, takes place at a coexistence point between active and inactive dynamical phases. We relate the presence of a dynamic phase…

统计力学 · 物理学 2008-09-03 Kristina Van Duijvendijk , Grégory Schehr , Frédéric Van Wijland

Cells and organisms follow aligned structures in their environment, a process that can generate persistent migration paths. Kinetic transport equations are a popular modelling tool for describing biological movements at the mesoscopic…

细胞行为 · 定量生物学 2021-01-13 Nadia Loy , Thomas Hillen , Kevin John Painter

We study a nonlinear kinetic model of mass exchange between interacting grains. The transition rates follow the Arrhenius equation with an activation energy that depends on the grain mass. We show that the activation parameter can be…

统计力学 · 物理学 2015-10-27 Dionissios T. Hristopulos , Aliki D. Muradova