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Abstract
We investigate the conditions under which a moving condensate may exist in a driven mass transport system. Our paradigm is a minimal mass transport model in which n  1 particles move simultaneously from a site containing n > 1 particles to the neighbouring site in a preferred direction. In the spirit of a zerorange process the rate u(n) of this move depends only on the occupation of the departure site. We study a hopping rate u(n) = 1 + b/n(alpha) numerically and find a moving strong condensate phase for b > b(c)(alpha) for all alpha > 0. This phase is characterised by a condensate that moves through the system and comprises a fraction of the system's mass that tends to unity. The mass lost by the condensate as it moves is constantly replenished from the trailing tail of low occupancy sites that collectively comprise a vanishing fraction of the mass. We formulate an approximate analytical treatment of the model that allows a reasonable estimate of b(c)(alpha) to be obtained. We show numerically (for alpha = 1) that the transition is of mixed order, exhibiting a discontinuity in the order parameter as well as a diverging length scale as b SE arrow b(c).
Original language  English 

Article number  11029 
Number of pages  19 
Journal  Journal of Statistical Mechanics: Theory and Experiment 
DOIs  
Publication status  Published  Nov 2014 
Keywords
 phase diagrams (theory)
 stochastic processes (theory)
 zerorange processes
 FACTORIZED STEADYSTATES
 PHASETRANSITIONS
 MODELS
 AGGREGATION
 SYSTEMS
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 1 Finished

Design Principles for New Soft Materials
Cates, M., Allen, R., Clegg, P., Evans, M., MacPhee, C., Marenduzzo, D. & Poon, W.
7/12/11 → 6/06/17
Project: Research