Duality symmetries in driven one-dimensional hopping models

P Sollich; Robert L Jack

doi:10.1143/PTPS.184.200

Duality symmetries in driven one-dimensional hopping models

P Sollich
, Robert L Jack

Research output: Contribution to journal › Article

Abstract

We consider some duality relations for models of non-interacting particles hopping on disordered one-dimensional chains. In particular, we discuss symmetries of bulk-driven barrier and trap models, and relations between boundary-driven and equilibrium models with related energy landscapes. We discuss the relationships between these duality relations and similar results for interacting many-body systems.

Original language	English
Pages (from-to)	200-210
Number of pages	11
Journal	Progress of Theoretical Physics Supplement
Volume	184
DOIs	https://doi.org/10.1143/PTPS.184.200
Publication status	Published - 2010

Bibliographical note

Proceedings of the Yukawa International Seminar 2009 (YKIS2009)

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10.1143/PTPS.184.200

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title = "Duality symmetries in driven one-dimensional hopping models",

abstract = "We consider some duality relations for models of non-interacting particles hopping on disordered one-dimensional chains. In particular, we discuss symmetries of bulk-driven barrier and trap models, and relations between boundary-driven and equilibrium models with related energy landscapes. We discuss the relationships between these duality relations and similar results for interacting many-body systems.",

author = "P Sollich and Jack, \{Robert L\}",

note = "Proceedings of the Yukawa International Seminar 2009 (YKIS2009)",

year = "2010",

doi = "10.1143/PTPS.184.200",

language = "English",

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pages = "200--210",

journal = "Progress of Theoretical Physics Supplement",

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AU - Sollich, P

AU - Jack, Robert L

N1 - Proceedings of the Yukawa International Seminar 2009 (YKIS2009)

PY - 2010

Y1 - 2010

N2 - We consider some duality relations for models of non-interacting particles hopping on disordered one-dimensional chains. In particular, we discuss symmetries of bulk-driven barrier and trap models, and relations between boundary-driven and equilibrium models with related energy landscapes. We discuss the relationships between these duality relations and similar results for interacting many-body systems.

AB - We consider some duality relations for models of non-interacting particles hopping on disordered one-dimensional chains. In particular, we discuss symmetries of bulk-driven barrier and trap models, and relations between boundary-driven and equilibrium models with related energy landscapes. We discuss the relationships between these duality relations and similar results for interacting many-body systems.

UR - https://www.scopus.com/pages/publications/80052050904

UR - http://dx.doi.org/10.1143/PTPS.184.200

U2 - 10.1143/PTPS.184.200

DO - 10.1143/PTPS.184.200

M3 - Article

SN - 0375-9687

VL - 184

SP - 200

EP - 210

JO - Progress of Theoretical Physics Supplement

JF - Progress of Theoretical Physics Supplement

ER -

Duality symmetries in driven one-dimensional hopping models

Abstract

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