Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/7178Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Nampoothiri, Jishnu N | - |
| dc.contributor.author | Ramola, Kabir | - |
| dc.contributor.author | Sabhapandit, Sanjib | - |
| dc.contributor.author | Chakraborty, Bulbul | - |
| dc.date.accessioned | 2019-03-06T14:18:59Z | - |
| dc.date.available | 2019-03-06T14:18:59Z | - |
| dc.date.issued | 2017-09-06 | - |
| dc.identifier.citation | Physical. Review. E, 2017, vol.96, p032107 | en_US |
| dc.identifier.issn | 2470-0045 | - |
| dc.identifier.uri | http://hdl.handle.net/2289/7178 | - |
| dc.description | Open Access | en_US |
| dc.description.abstract | We analyze the statistics of gaps (Δ H ) between successive avalanches in one-dimensional random-field Using models (RFIMs) in an external field H at zero temperature. In the first part of the paper we study the nearest-neighbor ferromagnetic RFIM. We map the sequence of avalanches in this system to a non homogeneous Poisson process with an H -dependent rate ρ (H ) . We use this to analytically compute the distribution of gaps P (Δ H ) between avalanches as the field is increased monotonically from -∞ to +∞ . We show that P (Δ H ) tends to a constant C (R ) as Δ H →0+ , which displays a nontrivial behavior with the strength of disorder R . We verify our predictions with numerical simulations. In the second part of the paper, motivated by avalanche gap distributions in driven disordered amorphous solids, we study a long-range antiferromagnetic RFIM. This model displays a gaped behavior P (Δ H )=0 up to a system size dependent offset value Δ Hoff , and P (Δ H ) ˜(ΔH -Δ Hoff) θ as Δ H →Hoff+ . We perform numerical simulations on this model and determine θ ≈0.95 (5 ) . We also discuss mechanisms which would lead to a nonzero exponent θ for general spin models with quenched random fields. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | American Physical Society | en_US |
| dc.relation.uri | https://arxiv.org/abs/1705.09069 | en_US |
| dc.relation.uri | https://doi.org/10.1103/PhysRevE.96.032107 | en_US |
| dc.rights | ©2017 American Physical Society | en_US |
| dc.title | Gaps between avalanches in one-dimensional random-field Ising models | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Papers (TP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2017_PhysRevE_Vol.96_p032107.pdf | Open Access | 1.97 MB | Adobe PDF | View/Open |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.