Topic
Gibbs–Duhem equation
About: Gibbs–Duhem equation is a research topic. Over the lifetime, 393 publications have been published within this topic receiving 6248 citations. The topic is also known as: Gibbs-Duhem equation.
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TL;DR: In this paper, it was shown that given a Holder continuous potential φ satisfying a summability condition, there exists a non-lacunary Gibbs measure with positive Lyapunov exponents and infinitely many hyperbolic times almost everywhere.
Abstract: In this paper, we study non-uniformly expanding repellers constructed as the limit sets for a non-uniformly expanding dynamical systems. We prove that given a Holder continuous potential φ satisfying a summability condition, there exists non-lacunary Gibbs measure for φ, with positive Lyapunov exponents and infinitely many hyperbolic times almost everywhere. Moreover, this non-lacunary Gibbs measure is an equilibrium measure for φ.
1 citations
1 citations
02 May 2005
TL;DR: This paper proves that shadow prices of quality of service of a scalable network queue with respect to buffer size B, capacity C and arrival rate N are independent of (B,C,N) parameters.
Abstract: High speed networks are highly dynamical systems. Large deviation techniques have been employed to characterize their loss probability. Large deviation is also used to calculate shadow prices of quality of service of a scalable network queue with respect to buffer size B, capacity C and arrival rate N.In this paper we prove that these shadow prices are independent of (B,C,N) parameters. Gibbs Duhem law of thermodynamics is described. Equivalent Gibbs Duhem type law in scalable network queue is derived. Application of equivalent network Gibbs Duhem law is discussed.
1 citations
01 Jan 1987
1 citations
1 citations