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Condensation in the Zero Range Process: Stationary and Dynamical Properties

- S. Grosskinsky, G. Schütz, H. Spohn
- Physics
- 4 February 2003

The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which… Expand

Dynamics of condensation in the symmetric inclusion process

- S. Grosskinsky, F. Redig, K. Vafayi
- Mathematics
- 14 October 2012

The inclusion process is a stochastic lattice gas, which is a natural bosonic counterpart of the well-studied exclusion process and has strong connections to models of heat conduction and… Expand

Monotonicity and condensation in homogeneous stochastic particle systems

- T. Rafferty, P. Chleboun, S. Grosskinsky
- Mathematics
- 8 May 2015

We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially homogeneous systems… Expand

Lattice Permutations and Poisson-Dirichlet Distribution of Cycle Lengths

- S. Grosskinsky, Alexander A. Lovisolo, D. Ueltschi
- Mathematics
- 26 July 2011

We study random spatial permutations on ℤ3 where each jump x↦π(x) is penalized by a factor $\mathrm{e}^{-T\| x-\pi (x)\|^{2}}$. The system is known to exhibit a phase transition for low enough T… Expand

Metastability in a condensing zero-range process in the thermodynamic limit

- Inés Armend́ariz, S. Grosskinsky, M. Loulakis
- Mathematics
- 14 July 2015

Zero-range processes with decreasing jump rates are known to exhibit condensation, where a finite fraction of all particles concentrates on a single lattice site when the total density exceeds a… Expand

Interacting particle systems in time-dependent geometries

- A. Ali, R. Ball, S. Grosskinsky, E. Somfai
- Mathematics
- 2 June 2013

Many complex structures and stochastic patterns emerge from simple kinetic rules and local interactions, and are governed by scale invariance properties in combination with effects of the global… Expand

Phase transitions in nonequilibrium stochastic particle systems with local conservation laws

- S. Grosskinsky
- Mathematics
- 2004

Stochastic particle systems far from equilibrium show a great variety of critical phenomena already in one dimension. We concentrate on models where the number of particles is locally conserved. In… Expand

Do small worlds synchronize fastest?

- C. Grabow, S. Hill, S. Grosskinsky, M. Timme
- Computer Science
- 1 May 2010

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Condensation in the Inclusion Process and Related Models

- S. Grosskinsky, F. Redig, K. Vafayi
- Mathematics
- 14 September 2010

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