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001     1884
005     20180208204642.0
024 7 _ |2 DOI
|a 10.1088/1742-5468/2008/05/P05009
024 7 _ |2 WOS
|a WOS:000256454900009
037 _ _ |a PreJuSER-1884
041 _ _ |a eng
082 _ _ |a 530
084 _ _ |2 WoS
|a Mechanics
084 _ _ |2 WoS
|a Physics, Mathematical
100 1 _ |a Hijar, H.
|b 0
|u FZJ
|0 P:(DE-Juel1)VDB65694
245 _ _ |a Probability distributions of Hamiltonian changes in linear magnetic systems under discontinuous perturbations
260 _ _ |a Bristol
|b IOP Publ.
|c 2008
300 _ _ |a P05009
336 7 _ |a Journal Article
|0 PUB:(DE-HGF)16
|2 PUB:(DE-HGF)
336 7 _ |a Output Types/Journal article
|2 DataCite
336 7 _ |a Journal Article
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|2 EndNote
336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a JOURNAL_ARTICLE
|2 ORCID
336 7 _ |a article
|2 DRIVER
440 _ 0 |a Journal of Statistical Mechanics : Theory and Experiment
|x 1742-5468
|0 13281
|v
500 _ _ |a Record converted from VDB: 12.11.2012
520 _ _ |a A model for the stochastic evolution of a linear paramagnetic system in contact with a thermal bath and subjected to variations in time of an external magnetic field, H, is presented. Changes in the Hamiltonian of this system, H-H, defined through the relation (W) over tilde = integral dH (partial derivative H-H/partial derivative H), are considered for the special case in which the external field is varied from an initial to a final value in discontinuous successive steps. Distribution functions of W, P-F((W) over tilde) and P-R((W) over tilde), corresponding to switching on and switching off processes, respectively, are explicitly calculated. To study the relaxation process, it is assumed that in between successive variations of the external field, the system follows a linear Langevin dynamics in the presence of a constant field. The dependences of P-F((W) over tilde) and P-R((W) over tilde) on the number of steps in which the external field changes from initial to final values as well as on the time rate of the processes are presented. These distributions are used to estimate free energy differences between two equilibrium states via the relations of Jarzynski and Crooks, and it is verified that these relations yield correct estimations of the free energy difference. Results of the model are illustrated firstly, for a system of independent two-level spins in the thermodynamic limit. Finally, a comparison is also performed with distributions of (W) over tilde in the two-dimensional Ising model obtained independently from numerical simulations, carried out in the paramagnetic phase and restricted to perturbations that produce a linear response. A good agreement is found between simulations and the present calculations.
536 _ _ |a Scientific Computing
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588 _ _ |a Dataset connected to Web of Science
650 _ 7 |a J
|2 WoSType
653 2 0 |2 Author
|a exact results
653 2 0 |2 Author
|a probability theory
700 1 _ |a Quintana, J.
|b 1
|0 P:(DE-HGF)0
700 1 _ |a Sutmann, G.
|b 2
|u FZJ
|0 P:(DE-Juel1)132274
773 _ _ |a 10.1088/1742-5468/2008/05/P05009
|g p. P05009
|p P05009
|q P05009
|0 PERI:(DE-600)2138944-5
|t Journal of statistical mechanics: theory and experiment
|y 2008
|x 1742-5468
856 7 _ |u http://dx.doi.org/10.1088/1742-5468/2008/05/P05009
909 C O |o oai:juser.fz-juelich.de:1884
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913 1 _ |k P41
|v Scientific Computing
|l Supercomputing
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914 1 _ |y 2008
915 _ _ |0 StatID:(DE-HGF)0010
|a JCR/ISI refereed
920 1 _ |k JSC
|l Jülich Supercomputing Centre
|g JSC
|0 I:(DE-Juel1)JSC-20090406
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970 _ _ |a VDB:(DE-Juel1)103900
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980 _ _ |a UNRESTRICTED

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