Absorbing State Phase Transition in presence of Conserved Continuous Local Field

Details Absorbing State Phase Transition in presence of Conserved Continuous Local Field Absorbing State Phase Transition in presence of Conserved Continuous Local Field

2011-02-08

arxiv.org/abs/1102.1631v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 eps figures

Scientific paper

We study absorbing state phase transition in one dimension in presence of a conserved continuous local field (CCLF) called energy. A pair of sites on a lattice is said to be active if one or both sites posses more energy than a pre-defined threshold. The active pair of sites are allowed to redistribute their energy following a stochastic rule. We show that, the CCLF model undergo a continuous absorbing state transition when energy per site is decreased below a critical value. The critical exponents are found to be different from those of DP.

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