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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Testing ground for fluctuation theorems: The one-dimensional Ising model

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Autor(es):
Lemos, C. G. O. [1] ; Santos, M. [1] ; Ferreira, A. L. [2] ; Figueiredo, W. [3, 1]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Fed Santa Catarina, Dept Fis, Campus Univ, BR-88040900 Florianopolis, SC - Brazil
[2] Univ Aveiro, I3N, Dept Fis, P-3810193 Aveiro - Portugal
[3] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 97, n. 4 APR 13 2018.
Citações Web of Science: 2
Resumo

In this paper we determine the nonequilibrium magnetic work performed on a Ising model and relate it to the fluctuation theorem derived some years ago by Jarzynski. The basic idea behind this theorem is the relationship connecting the free energy difference between two thermodynamic states of a system and the average work performed by an external agent, in a finite time, through nonequilibrium paths between the same thermodynamic states. We test the validity of this theorem by considering the one-dimensional Ising model where the free energy is exactly determined as a function of temperature and magnetic field. We have found that the Jarzynski theorem remains valid for all the values of the rate of variation of the magnetic field applied to the system. We have also determined the probability distribution function for the work performed on the system for the forward and reverse processes and verified that predictions based on the Crooks relation are equally correct. We also propose a method to calculate the lag between the current state of the system and that of the equilibrium based on macroscopic variables. We have shown that the lag increases with the sweeping rate of the field at its final value for the reverse process, while it decreases in the case of the forward process. The lag increases linearly with the size of the chain and with a slope decreasing with the inverse of the rate of variation of the field. (AU)

Processo FAPESP: 14/50983-3 - INCT 2014: fluidos complexos
Beneficiário:Antonio Martins Figueiredo Neto
Linha de fomento: Auxílio à Pesquisa - Temático