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Duality and phase diagram of one-dimensional transport

Somendra M Bhattacharjee

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The idea of duality in one-dimensional nonequilibrium transport is introduced by generalizing the observations by Mukherji and Mishra. A general approach is developed for the classification and characterization of the steady state phase diagrams which are shown to be determined by the nature of the zeros of a set of coarse-grained functions that encode the microscopic dynamics. A new class of nonequilibrium multicritical points has been identified.


PACS

05.60.-k Transport processes

05.70.Fh Phase transitions: general studies

05.70.Jk Critical point phenomena

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

82C26 Dynamic and nonequilibrium phase transitions (general)

82C27 Dynamic critical phenomena

82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs

82C70 Transport processes

Subjects

Statistical physics and nonlinear systems

Dates

Issue 8 (23 February 2007)

Received 6 November 2006, in final form 13 January 2007

Published 6 February 2007



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