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Gaifullin, Marat; Matsuda, Yuji; Chikumoto, N.; Shimoyama, Jun–ichi; Kishio, K.

doi:10.1103/physrevlett.84.2945

Cited by 133 publications

(100 citation statements)

References 29 publications

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“…But our approach provides the continuity of the correlation functions (13), (14) at h = h sv . Equation (19) specifies the single vortex pinning (SVP) region existing at relatively low magnetic fields [0 < h < h sv (t)]. However, formulas (14), (16) enable one to find also the upper region in which the vortex system returns to this type of pinning again.…”

Section: The Order-disorder Line With Account Of Thermal Fluctuatmentioning

confidence: 99%

“…(19). However, in a certain temperature interval it has two additional real roots which form the boundary of the upper SVP region, h up sv (see Fig.…”

Section: The Order-disorder Line With Account Of Thermal Fluctuatmentioning

confidence: 99%

“…In the region t > t s dp the length L c is infinite in size, and the single vortex pinning regime is absent, i.e., h sv (t) = 0 at t > t s dp . The value of t s dp is found by equating h sv to zero in formula (19):…”

Section: The Order-disorder Line With Account Of Thermal Fluctuatmentioning

confidence: 99%

“…18 At present the origin of the peak effect in low-T c and high-T c superconductors is commonly associated with the proliferation of dislocations in the flux-line lattice. [1][2][3][4][5][10][11][12][13][14][15][16] At this first order phase transition 3,[19][20][21][22] induced by quenched disorder in the vortex system, a transformation of a quasiordered Bragg glass 23 into a disordered amorphous vortex phase occurs. Although different criteria 3,[12][13][14] are used for determining the exact position of this transition on the peak-shaped dependence of the critical current density on H, they all lead to qualitatively similar H − T phase diagrams, and, for definiteness only, we shall imply below that the phase transition corresponds to the line of the maximum critical current density, H p (T ).…”

Section: Introductionmentioning

confidence: 99%

“…This assumption simplifies the analysis of the problem, though our final Eqs. (19) to (25) are valid for any direction of the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

2001

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We investigate the order-disorder transition line from a Bragg glass to an amorphous vortex glass in the H − T phase diagram of three-dimensional type-II superconductors taking into account both pinning-caused and thermal fluctuations of the vortex lattice. Our approach is based on the Lindemann criterion and on results of the collective pinning theory and generalizes previous work of other authors. It is shown that the shapes of the order-disorder transition line and the vortex lattice melting curve are determined only by the Ginzburg number, which characterizes thermal fluctuations, and by a parameter which describes the strength of the quenched disorder in the fluxline lattice. In the framework of this unified approach we obtain the H − T phase diagrams for both conventional and high-Tc superconductors. Several well-known experimental results concerning the fishtail effect and the phase diagram of high-Tc superconductors are naturally explained by assuming that a peak effect in the critical current density versus H signalizes the order-disorder transition line in superconductors with point defects.

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Section: The Order-disorder Line With Account Of Thermal Fluctuatmentioning

confidence: 99%

“…(19). However, in a certain temperature interval it has two additional real roots which form the boundary of the upper SVP region, h up sv (see Fig.…”

Section: The Order-disorder Line With Account Of Thermal Fluctuatmentioning

confidence: 99%

Section: The Order-disorder Line With Account Of Thermal Fluctuatmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…This assumption simplifies the analysis of the problem, though our final Eqs. (19) to (25) are valid for any direction of the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

2001

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Evolution in Complex Systems: Record Dynamics in Models of Spin Glasses, Superconductors and Evolutionary Ecology

Jensen

Advances in Solid State Physics

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Recent research on the non-stationary nature of the dynamics of complex systems is reviewed through three specific models. The long time dynamics consists of a slow, decelerating but spasmodic release of generalized intrinsic strain. These events are denoted quakes. Between the quakes weak fluctuations occur but no essential change in properties are induced. The accumulated effect of the quakes, however, is to induce a direct change in the probability density functions characterising the system. We discuss how the log-Poisson statistics of record dynamics may be an effective description of the long time evolution and describe how an analysis of the times at which the quakes occur enables one to check the applicability of record dynamics. PACS numbers:Out of equilibrium systems are often treated as being in a stationary state characterised by time independent statistical measures. Although this is probably the case in some situations there are many instances where this is not so and where one may miss essential aspects of the behaviour if attempts are made to treat the phenomena as stationary or nearly stationary.Complex systems often display evolving macroscopic properties. The most important task of a theoretical treatment is then to understand the link between the microscopic fluctuations, which will often exhibit an approximate time reversal symmetry and the macroscopic directed evolution. The description should as well explain the nature of the emergent macroscopic dynamics.Here we review how the concept of record dynamics, developed by Sibani and Littlewood[1], has successfully served as a paradigm for the description of the evolution of three very different models: the relaxation of a spin glass following an initial temperature quench, the penetration of an external magnetic field into a disordered type II superconductor and a model of evolutionary ecology. In all three cases macroscopic variables, which exhibit a degree of intermittent dynamics, can be identified. Furthermore, the sequence of transitions between metastable configurations can be analysed in terms of the record statistics.The work reviewed here is a result of collaboration with

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Vortex Matter

Blatter

Geshkenbeǐn

Superconductivity

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Abrupt Change of Josephson Plasma Frequency at the Phase Boundary of the Bragg Glass inBi2Sr2CaCu2

Cited by 133 publications

References 29 publications

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

Evolution in Complex Systems: Record Dynamics in Models of Spin Glasses, Superconductors and Evolutionary Ecology

Vortex Matter

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