Physical Review Letters · 2000 · 488 citations · 28 references
Natural SciencesPhysicsCondensed Matter PhysicsStochastic ProcessesThermodynamicsCritical PhenomenaDissipative SystemsPhase TransitionsStatistical MechanicsDriven SystemsFreezing DynamicsNon-equilibrium Many-body DynamicsPhase Transition DynamicsRandom Potentials
We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this model-which can be considered as a continuum version of some driven diffusive systems-exhibits a paradoxical, new kind of transition called here "freezing by heating." One interesting feature of this transition is that a crystallized state with a higher total energy is obtained from a fluid state by increasing the amount of fluctuations.
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Pattern formation outside of equilibrium
M. C. Cross, P. C. Hohenberg · Reviews of Modern Physics · 1993 · 7.8K citations
Novel Type of Phase Transition in a System of Self-Driven Particles
Tamás Vicsek, András Czirók, Eshel Ben‐Jacob et al. · Physical Review Letters · 1995 · 7.4K citations · Full text