A note on the entropy production formula

نویسندگان

  • Vojkan Jakšić
  • Claude-Alain Pillet
چکیده

We give an elementary derivation of the entropy production formula of [JP1]. Using this derivation we show that the entropy production of any normal, stationary state is zero.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Algorithm to Compute the Complexity of a Static Production Planning (RESEARCH NOTE)

Complexity is one of the most important issues of any production planning. The increase in complexity of production planning can cause inconsistency between a production plan and an actual outcome. The complexity generally can be divided in two categories, the static complexity and the dynamic complexity, which can be computed using the ant ropy formula. The formula considers the probability of...

متن کامل

A Note on the Bivariate Maximum Entropy Modeling

Let X=(X1 ,X2 ) be a continuous random vector. Under the assumption that the marginal distributions of X1 and X2 are given, we develop models for vector X when there is partial information about the dependence structure between X1  and X2. The models which are obtained based on well-known Principle of Maximum Entropy are called the maximum entropy (ME) mo...

متن کامل

A note on inequalities for Tsallis relative operator entropy

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

متن کامل

The Entropy Formula for Linear Heat Equation

§0 Introduction. In a recent paper of Perelman[P1], an entropy formula for Ricci flow was derived. The formula turns out being of fundamental importance in the study of Ricci flow (cf. [P1, Sections 3, 4, 10]) as well as the Kähler-Ricci flow [P2]. The derivation of the entropy formula in [P1, Section 9] resembles the gradient estimate for the linear heat equation proved by Li-Yau in another fu...

متن کامل

Optimization of Finned-Tube Heat Exchanger with Minimizing the Entropy Production rate

A compact fin-tube heat exchanger is used to transfer current fluid heat inside the tubes into the air outside. In this study, entropy production and optimized Reynolds number for finned-tube heat exchangers based on the minimum entropy production have been investigated. As a result, the total entropy of compact heat exchangers, which is the summation of the production rate of fluid entropy ins...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002