Nonequilibrium steady states of matrix-product form: a solver's guide, J. Phys. A: Math. Theor, vol.40, p.333, 2007. ,
Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra, J. Phys. A: Math. Gen, vol.33, p.2313, 2000. ,
Current fluctuations in nonequilibrium diffusive systems: An additivity principle, Phys. Rev. Lett, vol.92, p.180601, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00103472
Distribution of currents in non-equilibrium diffusive systems and phase transitions, Phys. Rev. E, vol.72, p.66110, 2005. ,
Current large deviations for asymmetric exclusion processes with open boundaries, J. Stat. Phys, vol.123, p.277, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00085457
A matrix Ansatz for the diffusion of an impurity in the asymmetric exclusion process, J. Phys. A: Math. Gen, vol.35, p.9703, 2002. ,
Bethe Ansatz solution of the Asymmetric Exclusion Process with Open Boundaries, Phys. Rev. Lett, vol.95, p.240601, 2005. ,
, , 2011.
An exactly soluble non-equilibrium system: the asymmetric simple exclusion process, Phys. Rep, vol.301, p.65, 1998. ,
Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, J. Stat. Mech.: Theor. Exp, p.7023, 2007. ,
, , 2011.
Universal Large-Deviation Function of the Kardar-Parisi-Zhang Equation in One Dimension, J. Stat. Phys, vol.94, p.1, 1999. ,
An exact solution of a one-dimensional asymmetric exclusion model with open boundaries, J. Stat. Phys, vol.69, p.667, 1992. ,
Current fluctuations in the one-dimensional symmetric exclusion process with open boundaries, J. Stat. Phys, vol.115, p.717, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00000763
Bethe Ansatz solution for a defect particle in the asymmetric exclusion process, J. Phys. A: Math. Gen, vol.32, p.4833, 1999. ,
Exact solution of a 1D asymmetric exclusion model using a matrix formulation, J. Phys. A: Math. Gen, vol.26, p.1493, 1993. ,
Exact Diffusion Constant of a One-Dimensional Asymmetric Exclusion Model with Open Boundaries, J. Stat. Phys, vol.79, p.833, 1994. ,
Exact large deviation function in the asymmetric exclusion process, Phys. Rev. Lett, vol.80, p.209, 1998. ,
, , 1994.
Matrix Representation of the Stationary Measure for the Multispecies TASEP, J. Stat. Phys, vol.135, p.217, 2009. ,
, From Interacting particle systems to random matrices, 2010.
, , 2009.
Current noise in vibrating quantum array, Phys. Rev. B, vol.70, p.205334, 2004. ,
The asymmetric exclusion process: an integrable model for non-equilibrium statistical mechanics, J. Phys. A: Math. Gen, vol.39, p.10647, 2006. ,
Finite size scaling of current fluctuations in the totally asymmetric exclusion process, 2010. ,
Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process, Phys. Rev. A, vol.45, p.618, 1992. ,
Signatures of critical full counting statistics in a quantum-dot chain, Phys. Rev. B, vol.81, p.45317, 2010. ,
Boundary-induced phase transitions in driven diffusive systems, Phys. Rev. Lett, vol.67, p.1882, 1991. ,
Shocks in the asymmetry exclusion model with an impurity, J. Phys. A: Math. Gen, vol.29, p.5375, 1996. ,
Exact solution of an exclusion process with three classes of particles and vacancies, J. Phys. A: Math. Gen, vol.32, p.8399, 1999. ,
The numerical estimation of the current large deviation function in the asymmetric exclusion process with open boundary conditions, 2010. ,
, A Kinetic View of Statistical Physics, 2010.
, Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process, 2010.
Tree structures for the current fluctuations in the exclusion process, J. Phys. A: Math. Theor, vol.43, p.105002, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00796160
The matrix product solution of the multispecies partially asymmetric exclusion process, J. Phys. A: Math. Theor, vol.42, p.165004, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00796157
Spatial particle condensation for an exclusion process on a ring, Physica A, vol.279, p.123, 2000. ,
One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomial approach, J. Phys. A: Math. Gen, vol.32, p.7109, 1999. ,
Density profile of the one-dimensional partially asymmetric simple exclusion process with open boundaries, J. Phys. Soc. Japan, vol.69, p.1055, 2000. ,
Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques, J. Stat. Mech.: Theor. Exp, p.7007, 2007. ,
Statistical mechanics of driven diffusive systems, Phase Transitions and Critical Phenomena, vol.17, 1995. ,
Exactly Solvable Models for Many-Body Systems Far from Equilibrium in, Phase Transitions and Critical Phenomena, vol.19, 2001. ,
Phase Transitions in an exactly soluble one-dimensional exclusion process, J. Stat. Phys, vol.72, p.277, 1993. ,
Large scale dynamics of interacting particles, 1991. ,
The large deviation approach to statistical mechanics, Phys. Rep, vol.478, issue.1, 2009. ,
, D1(?, ?) differ from ZL and ZL?1 by the normalisation constant ? 2 = (? + ? ? 1)/(??) that appears in [16] and that ensures that ?|? = 1. In our work, this constant ? 2 has been absorbed in the parameter B. If we had made the equivalent choice to use the function ? 2 F (z) instead of F (z)