AI Article Synopsis
- The paper presents a new renormalization-group method tailored for nonequilibrium systems, specifically looking at a one-dimensional gas with open boundaries.
- It defines three key parameters influencing particle dynamics: alpha (inflow probability), beta (outflow probability), and p (jumping right probability).
- The study identifies a critical point (alpha(c)=beta(c)=1/2) that matches exact values, and calculates a critical exponent (nu=2.71), though this slightly differs from the exact value (nu=2.00).
Article Abstract
This paper introduces a position-space renormalization-group approach for nonequilibrium systems and applies the method to a driven stochastic one-dimensional gas with open boundaries. The dynamics are characterized by three parameters: the probability alpha that a particle will flow into the chain to the leftmost site, the probability beta that a particle will flow out from the rightmost site, and the probability p that a particle will jump to the right if the site to the right is empty. The renormalization-group procedure is conducted within the space of these transition probabilities, which are relevant to the system's dynamics. The method yields a critical point at alpha(c)=beta(c)=1/2, in agreement with the exact values, and the critical exponent nu=2.71, as compared with the exact value nu=2.00.
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| http://dx.doi.org/10.1103/PhysRevE.67.056103 | DOI Listing |
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