EXACT RESULTS FOR THE ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL

B DERRIDA; Martin R. Evans; V HAKIM; V PASQUIER

EXACT RESULTS FOR THE ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL

B DERRIDA^*, Martin R. Evans, V HAKIM, V PASQUIER

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles can be thought of as charged particles in a field, as steps of an interface, as cars in a queue. Several exact results concerning the steady state of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.

Original language	English
Pages (from-to)	25-33
Number of pages	9
Journal	Physica a-Statistical mechanics and its applications
Volume	200
Issue number	1-4
Publication status	Published - 15 Nov 1993

Keywords

PHASE-TRANSITIONS
SURFACES
GROWTH
WAVES

Cite this

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title = "EXACT RESULTS FOR THE ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL",

abstract = "The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles can be thought of as charged particles in a field, as steps of an interface, as cars in a queue. Several exact results concerning the steady state of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.",

keywords = "PHASE-TRANSITIONS, SURFACES, GROWTH, WAVES",

author = "B DERRIDA and Evans, {Martin R.} and V HAKIM and V PASQUIER",

year = "1993",

month = nov,

day = "15",

language = "English",

volume = "200",

pages = "25--33",

journal = "Physica a-Statistical mechanics and its applications",

issn = "0378-4371",

publisher = "Elsevier",

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TY - JOUR

T1 - EXACT RESULTS FOR THE ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL

AU - DERRIDA, B

AU - Evans, Martin R.

AU - HAKIM, V

AU - PASQUIER, V

PY - 1993/11/15

Y1 - 1993/11/15

N2 - The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles can be thought of as charged particles in a field, as steps of an interface, as cars in a queue. Several exact results concerning the steady state of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.

AB - The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles can be thought of as charged particles in a field, as steps of an interface, as cars in a queue. Several exact results concerning the steady state of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.

KW - PHASE-TRANSITIONS

KW - SURFACES

KW - GROWTH

KW - WAVES

M3 - Article

VL - 200

SP - 25

EP - 33

JO - Physica a-Statistical mechanics and its applications

JF - Physica a-Statistical mechanics and its applications

SN - 0378-4371

IS - 1-4

ER -

EXACT RESULTS FOR THE ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL

Abstract

Keywords

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Cite this