Large deviations in one-dimensional random sequential adsorption
نویسندگان
چکیده
منابع مشابه
Generalized random sequential adsorption in one dimension
Tlie process o f random sequential adsorption in one dimension is gencralizcd BO that the rate at which a particle is placed in an empty space is dependent on the size o f thc space being destroyed and on^ the sizcs,of lhe two spacer crcated on either side of thc particle. We write down the equation for lhis process involving p ( r ) , the probability o f choosing lo deposit a particle of size ...
متن کاملQuenched, Annealed and Functional Large Deviations for One-Dimensional Random Walk in Random Environment
Suppose that the integers are assigned random variables f! i g (taking values in the unit interval), which serve as an environment. This environment deenes a random walk fX n g (called a RWRE) which, when at i, moves one step to the right with probability ! i , and one step to the left with probability 1 ? ! i. When the f! i g sequence is i.i.d., Greven and den Hollander (1994) proved a large d...
متن کاملLarge deviations for one-dimensional random walk in a random environment - a survey
Suppose that the integers are assigned i.i.d. random variables f! x g (taking values in the unit interval), which serve as an environment. This environment deenes a random walk fX n g (called a RWRE) which, when at x, moves one step to the right with probability ! x , and one step to the left with probability 1 ? ! x. Solomon (1975) determined the almost-sure asymptotic speed v (=rate of escape...
متن کاملEffects of Impurities in Random Sequential Adsorption on a One-Dimensional Substrate
We have solved the kinetics of random sequential adsorption of linear k-mers on a one-dimensional disordered substrate for the random sequential adsorption initial condition and for the random initial condition. The jamming limits θ(∞, k ′ , k) at fixed length of linear k-mers have a minimum point at a particular density of the linear k ′ -mers impurity for both cases. The coverage of the surfa...
متن کاملLarge deviations and slowdown asymptotics for one - dimensional excited random walks ∗
We study the large deviations of excited random walks on Z. We prove a large deviation principle for both the hitting times and the position of the random walk and give a qualitative description of the respective rate functions. When the excited random walk is transient with positive speed v0, then the large deviation rate function for the position of the excited random walk is zero on the inte...
متن کاملذخیره 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: Physical Review E
سال: 2020
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.102.062108