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Publication

A driven tagged particle in asymmetric exclusion processes

Zhe Wang
2022
Journal Articles

Abstract

We consider the asymmetric exclusion process with a driven tagged particle on Z which has different jump rates from other particles. When the non-tagged particles have non-nearest-neighbor jump rates , we show that the tagged particle can have a speed which has a different sign from the mean derived from its jump rates. We also show the existence of some non-trivial invariant measures for the environment process viewed from the tagged particle. Our arguments are based on coupling, martingale methods, and analyzing currents through fixed bonds.

Official source

https://infoscience.epfl.ch/entities/publication/ec50a081-99cc-496a-ba87-715c7a218662

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Zhe Wang
2022
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/ec50a081-99cc-496a-ba87-715c7a218662

About this result

Related concepts (10)

Fixed income

Fixed income refers to any type of investment under which the borrower or issuer is obliged to make payments of a fixed amount on a fixed schedule. For example, the borrower may have to pay interest at a fixed rate once a year and repay the principal amount on maturity. Fixed-income securities — more commonly known as bonds — can be contrasted with equity securities – often referred to as stocks and shares – that create no obligation to pay dividends or any other form of income.

Bond (finance)

In finance, a bond is a type of security under which the issuer (debtor) owes the holder (creditor) a debt, and is obliged – depending on the terms – to provide cash flow to the creditor (e.g. repay the principal (i.e. amount borrowed) of the bond at the maturity date as well as interest (called the coupon) over a specified amount of time). The timing and the amount of cash flow provided varies, depending on the economic value that is emphasized upon, thus giving rise to different types of bonds.

Corporate bond

A corporate bond is a bond issued by a corporation in order to raise financing for a variety of reasons such as to ongoing operations, M&A, or to expand business. The term is usually applied to longer-term debt instruments, with maturity of at least one year. Corporate debt instruments with maturity shorter than one year are referred to as commercial paper. The term "corporate bond" is not strictly defined. Sometimes, the term is used to include all bonds except those issued by governments in their own currencies.

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