Tagged particle dynamics in stochastic ranking process

نویسندگان

چکیده

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

Existence of an infinite particle limit of stochastic ranking process

We study a stochastic particle system which models the time evolution of the ranking of books by online bookstores (e.g., Amazon). In this system, particles are lined in a queue. Each particle jumps at random jump times to the top of the queue, and otherwise stays in the queue, being pushed toward the tail every time another particle jumps to the top. In an infinite particle limit, the random m...

متن کامل

Dynamics of interacting particle systems : stochastic process and field theory

We present an approach to the dynamics of interacting particle systems, which allows to derive path integral formulas from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of Doi and Peliti. This clarify both the origin of the Cole-Hopf map between the two approaches and the occurence of imaginary noises in effective Langevin equ...

متن کامل

Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition

The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in the TASEP with the step initial condition. Calculated is the multi-time joint distribution function of its position. Using the relation of the dynamics of the TASEP to the Schur process, we show that the function is represented as the Fredholm deter...

متن کامل

Dynamics of a Tagged Particle in the Asymmetric Exclusion Process with Particlewise Disorder

We consider the one-dimensional totally asymmetric asymmetric simple exclusion process. We particularly concentrate on the case where each hopping rate depends on each particle. In the step initial condition, where all sites from the left of some site are occupied and all other sites are empty, we discuss a dynamics of a particular particle (tagged particle). We show that the position fluctuati...

متن کامل

Exact tagged particle correlations in the random average process.

We study analytically the correlations between the positions of tagged particles in the random average process, an interacting particle system in one dimension. We show that in the steady state, the mean-squared autofluctuation of a tracer particle grows subdiffusively sigma(2)0(t) approximately t(1/2) for large time t in the absence of external bias but grows diffusively sigma(2)0(t) approxima...

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: Kodai Mathematical Journal

سال: 2013

ISSN: 0386-5991

DOI: 10.2996/kmj/1383660688