Thermal rounding exponent of the depinning transition of an elastic string in a random medium

Bustingorry, Sebastián; Kolton, Alejandro B.; Giamarchi, Thierry

doi:10.1103/physreve.85.021144

Cited by 36 publications

(68 citation statements)

References 41 publications

(115 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Beyond the large error bar this is consistent with our proposed value ψ = 0.15, which has been obtained by using numerical models for interface depinning. 36,37 We end this section showing that the values of the critical depinning field so far obtained with the protocol based on scaling arguments are consistent with a different (phenomenological) determination of the critical field. Recalling that at zero temperature the critical depinning field is the point where a maximum variation of the velocity is observed, one may wonder if this is also true at finite temperatures.…”

Section: Experimental Estimates For H C and ψsupporting

confidence: 59%

“…This scaling behavior is expected to hold close to the critical point, i.e., for H − H c H c and T → 0. Although this scaling form has been successfully tested in numerical simulations, 33,35,37 it has not yet been experimentally probed.…”

Section: Introductionmentioning

confidence: 99%

“…We find that the data around the thermally rounded depinning transition is consistent with the universal depinning exponents β and ψ theoretically expected for elastic interfaces described by the one-dimensional quenched Edwards-Wilkinson equation. 36,37,43 The paper is organized as follows. First, in Sec.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

2012

Self Cite

View full text Add to dashboard Cite

We perform a scaling analysis of the mean velocity of extended magnetic domain walls driven in ultrathin Pt/Co/Pt ferromagnetic films with perpendicular anisotropy, as a function of the applied external field for different film thicknesses. We find that the scaling of the experimental data around the thermally rounded depinning transition is consistent with the universal depinning exponents theoretically expected for elastic interfaces described by the one-dimensional quenched Edwards-Wilkinson equation. In particular, values for the depinning exponent β and thermal rounding exponent ψ are tested, and the present analysis of the experimental data is compatible with β = 0.33 and ψ = 0.2, in agreement with numerical simulations.

show abstract

Section: Experimental Estimates For H C and ψsupporting

confidence: 59%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…We have interpreted this behavior in terms of a contact process in which one avalanche can give rise to successive ones within a limited spatial range, and in a typical time controlled by η u . As σ → σ 1 the velocity diverges (in the scale of η u ) as a power law, until the unstable crack growth regime sets in for σ > σ 1 Compared with the thermal creep regime studied in related models [23], the most striking difference of the model studied here is the existence of a fatigue limit, corresponding to a stress below which the time to failure of the system is truly infinite. This behavior, which has been observed experimentally in different materials [12] has been explained before relying in ad hoc healing mechanisms [16][17][18].…”

Section: Discussionmentioning

confidence: 71%

Creep dynamics of viscoelastic interfaces

Jagla¹

2014

EPL

View full text Add to dashboard Cite

The movement of a purely elastic interface driven on a disordered energy potential is characterized by a depinning transition: when the pulling force σ is larger than some critical value σ1 the system is in a flowing regime and moves at a finite velocity. If σ < σ1 the interface remains pinned and its velocity is zero. We show that for a one-dimensional interface, the inclusion of viscoelastic relaxation produces the appearance of an intervening regime between the pinned and the flowing phases in a well defined stress interval σ0 < σ < σ1, in which the interface evolves through a sequence of avalanches that give rise to a creep process. As σ → σ + 0 the creep velocity vanishes in an universal way that is governed by a directed percolation process. As σ → σ − 1 the creep velocity increases as a power law due to the increase of the typical size of the avalanches. The present observations may serve to improve the understanding of fatigue failure mechanisms.

show abstract

“…Since the measurements are carried out in the short-time regime, the methods do not suffer from critical slowing down. A variety of important problems can be tackled with the shorttime dynamic approach [30][31][32][33], including very recent ones such as the interface growth, domain-wall motion and structural glass dynamics [34][35][36][37][38][39][40][41].…”

mentioning

confidence: 99%

Corrections to scaling in the dynamic approach to the phase transition with quenched disorder

Wang¹,

Zhou²,

Zheng³

2014

EPL

View full text Add to dashboard Cite

-With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling form. The critical point, static exponents β and ν, and dynamic exponent z are accurately determined. Particularly, the results support that the exponent ν satisfies the lower bound ν 2/d.Introduction. -The effects of quenched disorder on phase transitions are of great interest in physics for decades. Recent efforts on the theoretical and numerical studies can be found for example in Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. It has been rigorously proven that an infinitesimal amount of quenched disorder coupled to the energy density will turn a first-order transition to a continuous one when the spatial dimension d 2 [17,18]. This phenomenon has been observed, for example, in the two-dimensional (2D) eight-state Potts model, Blume-Capel model and three-Color Ashkin-Teller model [13,19,20]. For the case of d = 3, the phase transition may persist first order if the strength of quenched disorder is weak, and then soften to continuous if the strength is strong enough [10,14,21,22].The effects of quenched disorder, imposed to a pure system with a continuous phase transition, can be judged by the specific heat exponent α p or the correlation length exponent ν p of the pure system according to the Harris criterion [23]. If α p < 0 or ν p > 2/d, the disorder is irrelevant to the critical behavior, and if α p > 0 or ν p < 2/d, the disorder is relevant, and leads to a new universality class governed by the 'disorder' fixed point [7,11]. For the marginal case α p = 0, the criterion can not give a conclusion whether the disorder is relevant or not, and numerical results support that the model obeys the strong universality hypothesis with logarithmic correlations [5,24]. On the other hand, for a disordered system with a continuous phase transition, which is governed by the 'disorder' fixed point, the specific heat exponent α does not decide whether the disorder is relevant. It is only proven that a lower bound ν 2/d should be satisfied [25][26][27].To clarify the effects of quenched disorder on phase transitions, extensive numerical studies have been performed, for example, for the three-dimensional (3D) q-state site-diluted Potts model, bond-diluted Potts model and random-bond Potts model [4,12,15,16,22]. Recently, a numerical study based on the finite-time scaling and dynamic Monte Carlo renormalization-group methods gives ν = 0.554(9) for the 3D three-state random-bond

show abstract

Thermal rounding exponent of the depinning transition of an elastic string in a random medium

Cited by 36 publications

References 41 publications

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films

Creep dynamics of viscoelastic interfaces

Corrections to scaling in the dynamic approach to the phase transition with quenched disorder

Contact Info

Product

Resources

About