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Abstract / Description of output
Real space condensation is known to occur in stochastic models of mass transport in the regime in which the globally conserved mass density is greater than a critical value. It has been shown within models with factorized stationary states that the condensation can be understood in terms of sums of independent and identically distributed random variables: these exhibit condensation when they are conditioned to a large deviation of their sum. It is well understood that the condensation, whereby one of the random variables contributes a finite fraction to the sum, occurs only if the underlying probability distribution (modulo exponential) is heavytailed, i.e. decaying slower than exponential. Here we study a similar phenomenon in which condensation is exhibited for nonheavytailed distributions, provided random variables are additionally conditioned on a large deviation of certain linear statistics. We provide a detailed theoretical analysis explaining the phenomenon, which is supported by Monte Carlo simulations (for the case where the additional constraint is the sample variance) and demonstrated in several physical systems. Our results suggest that the condensation is a generic phenomenon that pertains to both typical and rare events.
Original language  English 

Article number  455004 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  47 
Issue number  45 
Early online date  29 Oct 2014 
DOIs  
Publication status  Published  14 Nov 2014 
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Dive into the research topics of 'Condensation transition in joint large deviations of linear statistics'. Together they form a unique fingerprint.Projects
 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