Browsing by Author "Janssen, H. K."
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- Exact results for the Kardar-Parisi-Zhang equation with spatially correlated noiseJanssen, H. K.; Täuber, Uwe C.; Frey, E. (Springer, 1999-06-01)
- The field theory approach to percolation processesJanssen, H. K.; Täuber, Uwe C. (Academic Press – Elsevier, 2005-01-01)
- Pair contact process with diffusion: Failure of master equation field theoryJanssen, H. K.; van Wijland, F.; Deloubriere, O.; Täuber, Uwe C. (American Physical Society, 2004-11-01)
- Pair contact process with diffusion: Failure of master equation field theoryJanssen, H. K.; van Wijland, F.; Deloubriere, O.; Täuber, Uwe C. (American Physical Society, 2004-11)We demonstrate that the "microscopic" field theory representation, directly derived from the corresponding master equation, fails to adequately capture the continuous nonequilibrium phase transition of the pair contact process with diffusion (PCPD). The ensuing renormalization group (RG) flow equations do not allow for a stable fixed point in the parameter region that is accessible by the physical initial conditions. There exists a stable RG fixed point outside this regime, but the resulting scaling exponents, in conjunction with the predicted particle anticorrelations at the critical point, would be in contradiction with the positivity of the equal-time mean-square particle number fluctuations. We conclude that a more coarse-grained effective field theory approach is required to elucidate the critical properties of the PCPD.
- Scaling regimes and critical dimensions in the Kardar-Parisi-Zhang problemFrey, E.; Täuber, Uwe C.; Janssen, H. K. (E D P Sciences, 1999-07-01)
- Strongly anisotropic roughness in surfaces driven by an oblique particle fluxSchmittmann, Beate; Pruessner, G.; Janssen, H. K. (American Physical Society, 2006-05)Using field theoretic renormalization, an MBE-type growth process with an obliquely incident influx of atoms is examined. The projection of the beam on the substrate plane selects a "parallel" direction, with rotational invariance restricted to the transverse directions. Depending on the behavior of an effective anisotropic surface tension, a line of second-order transitions is identified, as well as a line of potentially first-order transitions, joined by a multicritical point. Near the second-order transitions and the multicritical point, the surface roughness is strongly anisotropic. Four different roughness exponents are introduced and computed, describing the surface in different directions, in real or momentum space. The results presented challenge an earlier study of the multicritical point.
- Viability of competing field theories for the driven lattice gasSchmittmann, Beate; Janssen, H. K.; Täuber, Uwe C.; Zia, Royce K. P.; Leung, K. T.; Cardy, J. L. (American Physical Society, 2000-05)It has recently been suggested that the driven lattice gas should be described by an alternate held theory in the limit of infinite drive. We review the original and the alternate field theory, invoking several well-documented key features of the microscopics. Since the alternate field theory fails to reproduce these characteristics, we argue that it cannot serve as a viable description of the driven lattice gas. Recent results, for the critical exponents associated with this theory, are reanalyzed and shown to be incorrect.
- Viability of competing field theories for the driven lattice gasSchmittmann, Beate; Janssen, H. K.; Täuber, Uwe C.; Zia, Royce K. P.; Leung, K. T.; Cardy, J. L. (American Physical Society, 2000-05-01)