Metastability within the generalized canonical ensemble
نویسندگان
چکیده
We discuss a property of our recently introduced generalized canonical ensemble [M. Costeniuc, R.S. Ellis, H. Touchette, B. Turkington, The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble, J. Stat. Phys. 119 (2005) 1283]. We show that this ensemble can be used to transform metastable or unstable (nonequilibrium) states of the standard canonical ensemble into stable (equilibrium) states within the generalized canonical ensemble. Equilibrium calculations within the generalized canonical ensemble can thus be used to obtain information about nonequilibrium states in the canonical ensemble. r 2006 Elsevier B.V. All rights reserved.
منابع مشابه
Canonical thermostatics of ideal gas in the frame work of generalized uncertainty principle
The statistical consequences of minimal length supposition are investigated for a canonical ensemble of ideal gas. These effects are encoded in the so-called Generalized Uncertainty Principle (GUP) of the second order. In the frame work of the considered GUP scenario, a unique partition function is obtained by using of two different methods of quantum and classical approaches. It should be noti...
متن کاملGeneralized Gibbs canonical ensemble: A possible physical scenario
After reviewing some fundamental results derived from the introduction of the generalized Gibbs canonical ensemble, ω (E) = exp [−ηΘ(E)] /Z (η), such as the called thermodynamic uncertainty relation 〈δβδE〉 = 1+ ( ∂S/∂E ) 〈 δE 〉 , it is described a physical scenario where such a generalized ensemble naturally appears as a consequence of a modification of the energetic interchange mechanism betwe...
متن کاملGeneralized canonical ensembles and ensemble equivalence.
This paper is a companion piece to our previous work [J. Stat. Phys. 119, 1283 (2005)], which introduced a generalized canonical ensemble obtained by multiplying the usual Boltzmann weight factor of the canonical ensemble with an exponential factor involving a continuous function of the Hamiltonian . We provide here a simplified introduction to our previous work, focusing now on a number of phy...
متن کاملar X iv : c on d - m at / 0 40 86 81 v 1 3 1 A ug 2 00 4 The Generalized Canonical Ensemble and Its Universal Equivalence with the Microcanonical Ensemble
Microcanonical equilibrium macrostates are characterized as the solutions of a constrained minimization problem, while canonical equilibrium macrostates are characterized as the solutions of a related, unconstrained minimization problem. In the paper [19] by Ellis, Haven, and Turkington, the problem of ensemble equivalence was completely solved at two separate, but related levels: the level of ...
متن کاملOne - dimensional Particle Processes with Acceleration / Braking Asymmetry
The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental Diagram of traffic and to be associated to hysteresis effects of traffic flow. We study this question in the context of exclusion and queueing processes, by including an asymmetry between deceleration and acceleration in the formulation of these processes. For exclusions processes, this cor...
متن کامل