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000001884 0247_ $$2DOI$$a10.1088/1742-5468/2008/05/P05009
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000001884 037__ $$aPreJuSER-1884
000001884 041__ $$aeng
000001884 082__ $$a530
000001884 084__ $$2WoS$$aMechanics
000001884 084__ $$2WoS$$aPhysics, Mathematical
000001884 1001_ $$0P:(DE-Juel1)VDB65694$$aHijar, H.$$b0$$uFZJ
000001884 245__ $$aProbability distributions of Hamiltonian changes in linear magnetic systems under discontinuous perturbations
000001884 260__ $$aBristol$$bIOP Publ.$$c2008
000001884 300__ $$aP05009
000001884 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article
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000001884 440_0 $$013281$$aJournal of Statistical Mechanics : Theory and Experiment$$v$$x1742-5468
000001884 500__ $$aRecord converted from VDB: 12.11.2012
000001884 520__ $$aA model for the stochastic evolution of a linear paramagnetic system in contact with a thermal bath and subjected to variations in time of an external magnetic field, H, is presented. Changes in the Hamiltonian of this system, H-H, defined through the relation (W) over tilde = integral dH (partial derivative H-H/partial derivative H), are considered for the special case in which the external field is varied from an initial to a final value in discontinuous successive steps. Distribution functions of W, P-F((W) over tilde) and P-R((W) over tilde), corresponding to switching on and switching off processes, respectively, are explicitly calculated. To study the relaxation process, it is assumed that in between successive variations of the external field, the system follows a linear Langevin dynamics in the presence of a constant field. The dependences of P-F((W) over tilde) and P-R((W) over tilde) on the number of steps in which the external field changes from initial to final values as well as on the time rate of the processes are presented. These distributions are used to estimate free energy differences between two equilibrium states via the relations of Jarzynski and Crooks, and it is verified that these relations yield correct estimations of the free energy difference. Results of the model are illustrated firstly, for a system of independent two-level spins in the thermodynamic limit. Finally, a comparison is also performed with distributions of (W) over tilde in the two-dimensional Ising model obtained independently from numerical simulations, carried out in the paramagnetic phase and restricted to perturbations that produce a linear response. A good agreement is found between simulations and the present calculations.
000001884 536__ $$0G:(DE-Juel1)FUEK411$$2G:(DE-HGF)$$aScientific Computing$$cP41$$x0
000001884 588__ $$aDataset connected to Web of Science
000001884 650_7 $$2WoSType$$aJ
000001884 65320 $$2Author$$aexact results
000001884 65320 $$2Author$$aprobability theory
000001884 7001_ $$0P:(DE-HGF)0$$aQuintana, J.$$b1
000001884 7001_ $$0P:(DE-Juel1)132274$$aSutmann, G.$$b2$$uFZJ
000001884 773__ $$0PERI:(DE-600)2138944-5$$a10.1088/1742-5468/2008/05/P05009$$gp. P05009$$pP05009$$qP05009$$tJournal of statistical mechanics: theory and experiment$$x1742-5468$$y2008
000001884 8567_ $$uhttp://dx.doi.org/10.1088/1742-5468/2008/05/P05009
000001884 909CO $$ooai:juser.fz-juelich.de:1884$$pVDB
000001884 9131_ $$0G:(DE-Juel1)FUEK411$$bSchlüsseltechnologien$$kP41$$lSupercomputing$$vScientific Computing$$x0
000001884 9141_ $$y2008
000001884 915__ $$0StatID:(DE-HGF)0010$$aJCR/ISI refereed
000001884 9201_ $$0I:(DE-Juel1)JSC-20090406$$gJSC$$kJSC$$lJülich Supercomputing Centre$$x0
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