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Pregled bibliografske jedinice broj: 771539

Condensation transition in joint large deviations of linear statistics

Szavits-Nossan, Juraj; Evans, Martin R.; Majumdar, Satya N.
Condensation transition in joint large deviations of linear statistics // Journal of physics. A, Mathematical and theoretical, 47 (2014), 455004-1 doi:10.1088/1751-8113/47/45/455004 (međunarodna recenzija, članak, znanstveni)

Condensation transition in joint large deviations of linear statistics

Szavits-Nossan, Juraj ; Evans, Martin R. ; Majumdar, Satya N.

Journal of physics. A, Mathematical and theoretical (1751-8113) 47 (2014); 455004-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Stationary states; large deviations in non-equilibrium systems; zero-range processes

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 heavy-tailed, i.e. decaying slower than exponential. Here we study a similar phenomenon in which condensation is exhibited for non-heavy-tailed 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.

Izvorni jezik

Znanstvena područja
Matematika, Fizika


Institut za fiziku, Zagreb

Autor s matičnim brojem:
Juraj Szavits Nossan, (285591)

Časopis indeksira:

  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus