1 – Exactly Solvable Models for Many-Body Systems Far from Equilibrium

By Gunter M. Schütz. 2001

538 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/648c97bd2ee2013220bfb221b5a229e888dd949a

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos (2019, background): “[106] G.”
Brownian motors: noisy transport far from equilibrium (2000, background): “Within the realm of noise-induced or -assisted non-equilibrium phenomena, an entire family of well-established major Felds are known under the labels of stochastic resonance [62], noise induced transitions [63] and phase transitions [64,65], reaction rate theory [66–68], and driven di5usive systems ”
'Life is motion': multiscale motility of molecular motors (2005, unknown): “[53].”
Fluctuation Properties of the TASEP with Periodic Initial Configuration (2006, background): “One of these is the parallel update rule (see the review [36]) and it is given as follows.”
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport (2011, unknown): “Detailed properties of the phase diagram are reviewed in [96, 122, 123].”
Duality and Hidden Symmetries in Interacting Particle Systems (2008, background): “the finite state space context (see also [ 15 , 16], (5.7)).”
The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics (2006, methodology): “…for the ASEP have been derived using two complementary approaches, the Matrix Product Ansatz and the Bethe Ansatz (for a review see Derrida 1998, Schütz 2001), the relation between these two Ansätze being still a matter of investigation (Stinchcombe and Schütz 1995; Alcaraz and Lazo 2004).”
Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials (2003, methodology): “The one-dimensional ASEP is a model of randomly hopping particles with exclusion interaction on a one-dimensional lattice [1, 2, 3, 4, 5, 6].”
Condensation in the Zero Range Process: Stationary and Dynamical Properties (2003, background): “Our contribution should be understood as a case study in the context of phase transitions in one-dimensional systems far from equilibrium, which has been a topic of major interest in the past decade (see [ 11 , 12] and references therein).”
Traffic of Molecular Motors Through Tube-Like Compartments (2003, background): “( 27 ) The exact stationary master equation can be written in the form”
Stochastic interacting particle systems out of equilibrium (2007, background): “More recent work based on matrix methods allows us to get some representation of the invariant measure in the general one-dimensional case, see, for example, [42, 47] and references therein.”
Evolutionary game theory: Theoretical concepts and applications to microbial communities (2010, background): “This model has led to significant advances in our understanding of phase transitions and the nature of stationary states in non-equilibrium systems [126, 127].”