Exact solution of the master equation for the asymmetric exclusion process

From MaRDI portal
Publication:1285237

DOI10.1007/BF02508478zbMath0945.82508arXivcond-mat/9701019OpenAlexW1987048133MaRDI QIDQ1285237

Gunter M. Schütz

Publication date: 11 October 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9701019




Related Items (86)

The transition probability of the \(q\)-TAZRP (\(q\)-bosons) with inhomogeneous jump ratesIntegrability of two-species partially asymmetric exclusion processesTHE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASSCurrent fluctuations of the one dimensional symmetric simple exclusion process with step initial conditionDeterminantal structures in the O'Connell-Yor directed random polymer modelExceedingly large deviations of the totally asymmetric exclusion processA multi-dimensional Markov chain and the Meixner ensembleBethe Ansatz Solution of the Finite Bernoulli Matching Model of Sequence AlignmentTwo Ways to Solve ASEPHarold Widom’s work in random matrix theoryFrom vicious walkers to TASEPExact formulas for two interacting particles and applications in particle systems with dualityAsymmetric simple exclusion process and modified random matrix ensemblesLimiting current distribution for a two species asymmetric exclusion processPeriodic TASEP with general initial conditionsMultiparticle space-time transitions in the totally asymmetric simple exclusion processStochastic Burgers equation from long range exclusion interactionsRenormalization fixed point of the KPZ universality classZone clearance in an infinite TASEP with a step initial conditionSome algebraic structures in KPZ universalityTASEP and generalizations: method for exact solutionNon-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed pointOn the KPZ scaling and the KPZ fixed point for TASEPKPZ limit theoremsIntegrable fluctuations in the KPZ universality classExact solution of interacting particle systems related to random matricesMarkov duality and Bethe ansatz formula for half-line open ASEPTransition probabilities and dynamic structure function in the ASEP conditioned on strong fluxTransition probability and total crossing events in the multi-species asymmetric exclusion processSome conditional probabilities in the TASEP with second class particlesPoint-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motionsIntegral formulas of ASEP and \(q\)-TAZRP on a ringGeneralized Green functions and current correlations in the TASEPTransition probabilities of the Bethe ansatz solvable interacting particle systemsFormulas and asymptotics for the asymmetric simple exclusion processOn the TASEP with second class particlesInterlacing DiffusionsSolution of the Kolmogorov equation for TASEPDeterminant representation for some transition probabilities in the TASEP with second class particlesUnnamed ItemIntegral formulas for the asymmetric simple exclusion processDeterminantal expressions in multi-species TASEPExact formulas of the transition probabilities of the multi-species asymmetric simple exclusion processDynamics of a tagged particle in the asymmetric exclusion process with the step initial conditionOne-sided reflected Brownian motions and the KPZ fixed pointASEP on a ring conditioned on enhanced fluxSome exact results for the exclusion processThe totally asymmetric exclusion process with generalized updateSpectral theory for interacting particle systems solvable by coordinate Bethe ansatzA Fredholm determinant representation in ASEPFinite-time current probabilities in the asymmetric exclusion process on a ringFluctuation properties of the TASEP with periodic initial configurationThe asymmetric simple exclusion process with an open boundaryThe transition probability and the probability for the left-most particle's position of the q-totally asymmetric zero range processThe current distribution of the multiparticle hopping asymmetric diffusion modelCurrent moments of 1D ASEP by dualitySpectral theory for the -Boson particle systemStochastic higher spin six vertex model and \(q\)-TASEPsExact results for the 1D asymmetric exclusion process and KPZ fluctuationsCurrent distribution and random matrix ensembles for an integrable asymmetric fragmentation processDistribution of a particle's position in the ASEP with the alternating initial conditionDeterminantal transition kernels for some interacting particles on the lineEXCLUSION PROCESSES AND BOUNDARY CONDITIONSPhysical mechanisms in impacts of interaction factors on totally asymmetric simple exclusion processesThe invariant measure of PushASEP with a wall and point-to-line last passage percolationNonstationary generalized TASEP in KPZ and jamming regimesMultipoint distribution of periodic TASEPThe relaxation dynamics of the tasep with particle-dependent hopping probabilities on a ringVENEZIANO AMPLITUDES, SPIN CHAINS, AND STRING MODELSFluctuations of the one-dimensional asymmetric exclusion process using random matrix techniquesNon-equilibrium steady states: fluctuations and large deviations of the density and of the currentDeterminant solution for the totally asymmetric exclusion process with parallel update: II. Ring geometryAiry process with wanderers, KPZ fluctuations, and a deformation of the Tracy-Widom GOE distributionA word-counting technique for the solution of stochastic equationsNonstationary probabilities and time correlation functions for an asymmetric exclusion processOne-point distribution of the geodesic in directed last passage percolationThe propagator of the attractive delta-Bose gas in one dimensionFormulas for joint probabilities for the asymmetric simple exclusion processExact Large Deviation Function in the Asymmetric Exclusion ProcessMultispecies extension of the solvable partially asymmetric reaction–diffusion processesScaling limit for Brownian motions with one-sided collisionsSolvable reaction-diffusion processes without exclusionThe KPZ fixed point for discrete time TASEPsSpectral degeneracies in the totally asymmetric exclusion processMulti-state asymmetric simple exclusion processesFrom the Riemann surface of TASEP to ASEP



Cites Work


This page was built for publication: Exact solution of the master equation for the asymmetric exclusion process