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| Content Provider | World Health Organization (WHO)-Global Index Medicus |
|---|---|
| Author | Corberi, Federico Villavicencio-Sanchez, Rodrigo |
| Description | Country affiliation: Italy Author Affiliation: Corberi F ( Dipartimento di Fisica 'E. R. Caianiello', and INFN, Gruppo Collegato di Salerno, and CNISM, Unità di Salerno, Università di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.); Villavicencio-Sanchez R ( Dipartimento di Fisica 'E. R. Caianiello', Università di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.) |
| Abstract | We study numerically the two-dimensional Ising model with nonconserved dynamics quenched from an initial equilibrium state at the temperature $ T _{ i } ≥ T _{ c } $ to a final temperature $ T _{ f } $ below the critical one. By considering processes initiating both from a disordered state at infinite temperature $ T _{ i } = ∞ $ and from the critical configurations at $ T _{ i } = T _{ c } $ and spanning the range of final temperatures $ T _{ f } ∈ [ 0 , T _{ c } [ $ we elucidate the role played by $ T _{ i } $ and $ T _{ f } $ on the aging properties and, in particular, on the behavior of the autocorrelation $ C $ and of the integrated response function $ χ $ . Our results show that for any choice of $ T _{ f } $ , while the autocorrelation function exponent $ λ _{ C } $ takes a markedly different value for $ T _{ i } = ∞ $ [ $ λ _{ C } ( T _{ i } = ∞ ) ≃ 5 / 4 $ ] or $ T _{ i } = T _{ c } $ [ $ λ _{ C } ( T _{ i } = T _{ c } ) ≃ 1 / 8 $ ] the response function exponents are unchanged. Supported by the outcome of the analytical solution of the solvable spherical model we interpret this fact as due to the different contributions provided to autocorrelation and response by the large-scale properties of the system. As changing $ T _{ f } $ is considered, although this is expected to play no role in the large-scale and long-time properties of the system, we show important effects on the quantitative behavior of $ χ $ . In particular, data for quenches to $ T _{ f } = 0 $ are consistent with a value of the response function exponent $ λ _{ χ } = 1 2 λ _{ C } ( T _{ i } = ∞ ) = 5 / 8 $ different from the one [ $ λ _{ χ } ∈ ( 0.5 – 0.56 ) $ ] found in a wealth of previous numerical determinations in quenches to finite final temperatures. This is interpreted as due to important preasymptotic corrections associated to $ T _{ f } > 0 $ . |
| File Format | HTM / HTML |
| ISSN | 24700045 |
| e-ISSN | 24700053 |
| Journal | Physical Review E |
| Issue Number | 5 |
| Volume Number | 93 |
| Language | English |
| Publisher | American Physical Society |
| Publisher Date | 2016-05-01 |
| Publisher Place | United States |
| Access Restriction | Open |
| Subject Keyword | Statistical and Nonlinear Physics many-body systems Condensed Matter Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistical and Nonlinear Physics Condensed Matter Physics |
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