Duality relations in single-file diffusion

نویسندگان

چکیده

Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic out-of-equilibrium statistical physics. Various microscopic models single-file systems have been considered, such as simple exclusion process, has reached status a paradigmatic model. Several different shown be related by duality relation, holds either microscopically or only hydrodynamic limit large time and distances. Here, we show that, within framework fluctuating hydrodynamics, these relations are not specific limit, every system can mapped onto dual system, characterise. This general relation allows us obtain new results for models, exploiting solutions available their

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Infinitely fast diffusion in single-file systems.

We have used dynamic Monte Carlo(DMC) methods and analytical techniques to analyze single-file systems for which diffusion is infinitely fast. We have simplified the master equation removing the fast reactions, and we have introduced a DMC algorithm for infinitely fast diffusion. The DMC method for fast diffusion give similar results as the standard DMC with high diffusion rates. We have invest...

متن کامل

Single-file diffusion in a box.

We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density function using a Bethe ansatz, from which the mean square displacement is calculated. The analysis shows the existence of three regimes of drastically different behavior for short, inter...

متن کامل

Langevin formulation for single-file diffusion.

We introduce a stochastic equation for the microscopic motion of a tagged particle in the single-file model. This equation provides a compact representation of several of the system's properties such as fluctuation-dissipation and linear-response relations, achieved by means of a diffusion noise approach. Most importantly, the proposed Langevin equation reproduces quantitatively the three tempo...

متن کامل

Single-file diffusion far from equilibrium

The stationary states of driven diffusive single-file systems, connected to boundary reservoirs with fixed particle density are shown to be selected by an extremal principle for the macroscopic current. Given the current one obtains the exact firstand secondorder non-equilibrium phase transition lines for the bulk density as a function of the boundary densities. The basic dynamical mechanism be...

متن کامل

Single-file diffusion of macroscopic charged particles.

In this paper, we study a macroscopic system of electrically interacting metallic beads organized as a sequence along an annulus. A random mechanical shaking mimics the thermal excitation. We exhibit non-Fickian diffusion (single-file diffusion) at large time. We measure the mobility of the particles and compare it to theoretical expectations. We show that our system cannot be accurately descri...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment

سال: 2023

ISSN: ['1742-5468']

DOI: https://doi.org/10.1088/1742-5468/aca8fb