Work

Universal Large Deviations for the Tagged Particle in Single-File Motion

Year: 2014

Type: article

Abstract: We consider a gas of point particles moving in a one-dimensional channel with a hard-core interparticle interaction that prevents particle crossings--this is called single-file motion. Starting from equilibrium initial conditions we observe the motion of a tagged particle. It is well known that if the individual particle dynamics is diffusive, then the tagged particle motion is subdiffusive, while for ballistic particle dynamics, the tagged particle motion is diffusive. Here we compute the exact large deviation function for the tagged particle displacement and show that this is universal, independent of the individual dynamics.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.113.120601

Authors: Chaitra Hegde, Sanjib Sabhapandit, Abhishek Dhar

Institutions: Raman Research Institute, International Centre for Theoretical Sciences

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Department of Science and Technology, Republic of South Africa, Indo-French Centre for the Promotion of Advanced Research

Award: G7448118093