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Lifetime of locally stable states near a phase transition in the Thirring model by Saadat, Elaheh; Latella, Ivan; Ruffo, Stefano is a scholarly article available to read on EtoBox.

What is Lifetime of locally stable states near a phase transition in the Thirring model about?

We study the lifetime of locally stable states in the Thirring model, which describes a system of particles whose interactions are long-range. The model exhibits first-order phase transitions in the canonical ensemble and, therefore, a free energy barrier separates two free energy minima. The energy of the system diffuses as a result of thermal fluctuations and we show that its dynamics can be described by means of a Fokker-Planck equation. Considering an initial state where the energy takes the value corresponding to one of the minima of the free energy, we can define the lifetime of the initial state as the mean first-passage time for the system to reach the top of the free energy barrier between the minima. We use an analytical formula for the mean first-passage time which is based on the knowledge of the exact free energy of the model, even at a finite number of particles. This formula shows that the lifetime of locally stable states increases exponentially in the number of particles, which is a typical feature of systems with long-range interactions. We also perform Monte Carlo simulations in the canonical ensemble in order to obtain the probability distribution of the first-p

Author

Saadat, Elaheh; Latella, Ivan; Ruffo, Stefano

Published

2023

Language

EN