Thermal rounding exponent of the depinning transition of an elastic string in a random medium
We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as V∼Tψ, with ψ the thermal rounding exponent. We show that the comput...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2012 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/196392 |
| Online Access: | http://hdl.handle.net/11336/196392 |
| Access Level: | Open access |
| Keyword: | DEPINNING ELASTIC SYSTEMS DISORDER THERMAL ROUNDING https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| _version_ | 1878403093375221760 |
|---|---|
| author | Bustingorry, Sebastián |
| author2 | Kolton, Alejandro Benedykt Giamarchi, T. |
| author2_role | author author |
| author_browse | Bustingorry, Sebastián Giamarchi, T. Kolton, Alejandro Benedykt |
| author_facet | Bustingorry, Sebastián Kolton, Alejandro Benedykt Giamarchi, T. |
| author_role | author |
| collection | CONICET Digital (CONICET) |
| description | We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as V∼Tψ, with ψ the thermal rounding exponent. We show that the computed value of the thermal rounding exponent, ψ=0.15, is robust and accounts for the different scaling properties of several observables both in the steady state and in the transient relaxation to the steady state. In particular, we show the compatibility of the thermal rounding exponent with the scaling properties of the steady-state structure factor, the universal short-time dynamics of the transient velocity at the sample critical force, and the velocity scaling function describing the joint dependence of the steady-state velocity on the external drive and temperature. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | AR_3c895d5031ffa593615f2f4a487d8daa |
| identifier_str_mv | Bustingorry, Sebastián; Kolton, Alejandro Benedykt; Giamarchi, T.; Thermal rounding exponent of the depinning transition of an elastic string in a random medium; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 2; 2-2012; 21144-21153 1539-3755 CONICET Digital CONICET |
| institution | Consejo Nacional de Investigaciones Científicas y Técnicas |
| instname_str | Consejo Nacional de Investigaciones Científicas y Técnicas |
| language | eng |
| network_acronym_str | AR |
| network_name_str | Argentina |
| oai_identifier_str | oai:ri.conicet.gov.ar:11336/196392 |
| publishDate | 2012 |
| publishDateSort | 2012 |
| publisher | American Physical Society |
| publisherStr | American Physical Society |
| reponame_str | CONICET Digital (CONICET) |
| spelling | Thermal rounding exponent of the depinning transition of an elastic string in a random medium Bustingorry, Sebastián Kolton, Alejandro Benedykt Giamarchi, T. DEPINNING ELASTIC SYSTEMS DISORDER THERMAL ROUNDING https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as V∼Tψ, with ψ the thermal rounding exponent. We show that the computed value of the thermal rounding exponent, ψ=0.15, is robust and accounts for the different scaling properties of several observables both in the steady state and in the transient relaxation to the steady state. In particular, we show the compatibility of the thermal rounding exponent with the scaling properties of the steady-state structure factor, the universal short-time dynamics of the transient velocity at the sample critical force, and the velocity scaling function describing the joint dependence of the steady-state velocity on the external drive and temperature. Fil: Bustingorry, Sebastián. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina Fil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina Fil: Giamarchi, T.. Universidad de Ginebra. Facultad de Ciencias; Suiza American Physical Society http://hdl.handle.net/11336/196392 Bustingorry, Sebastián; Kolton, Alejandro Benedykt; Giamarchi, T.; Thermal rounding exponent of the depinning transition of an elastic string in a random medium; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 2; 2-2012; 21144-21153 1539-3755 CONICET Digital CONICET |
| spellingShingle | Thermal rounding exponent of the depinning transition of an elastic string in a random medium Bustingorry, Sebastián DEPINNING ELASTIC SYSTEMS DISORDER THERMAL ROUNDING https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| status_str | publishedVersion |
| title | Thermal rounding exponent of the depinning transition of an elastic string in a random medium |
| title_full | Thermal rounding exponent of the depinning transition of an elastic string in a random medium |
| title_fullStr | Thermal rounding exponent of the depinning transition of an elastic string in a random medium |
| title_full_unstemmed | Thermal rounding exponent of the depinning transition of an elastic string in a random medium |
| title_short | Thermal rounding exponent of the depinning transition of an elastic string in a random medium |
| title_sort | Thermal rounding exponent of the depinning transition of an elastic string in a random medium |
| topic | DEPINNING ELASTIC SYSTEMS DISORDER THERMAL ROUNDING https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| topic_facet | DEPINNING ELASTIC SYSTEMS DISORDER THERMAL ROUNDING https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| url | http://hdl.handle.net/11336/196392 |