Matrix ansatz and large deviations of the density in exclusion processes

• Autores: Bernard Derrida
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé, Javier Soria de Diego, Juan Luis Varona Malumbres, Joan Verdera, Vol. 3, 2006, ISBN 978-3-03719-022-7, págs. 367-382
• Idioma: inglés
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• Resumen

  • Exclusion processes describe a gas of particles on a lattice with hard core repulsion.

    When such a lattice gas ismaintained in contact with two reservoirs at unequal densities, or driven by an external field, it exhibits a non-equilibrium steady state. In one dimension, a number of properties of this steady state can be calculated exactly using a matrix ansatz. This talk gives a short review on results obtained recently by this matrix ansatz approach.