Investigating the effect of quenched noise in continuous surface growth models

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RAOUFI DAVOOD; Rostami Mahmood; Ghasemi Nezhadhaghighi Mohsen

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Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2017 | Volume:7 | Issue:13 Page(s): 87-94

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Title

Investigating the effect of quenched noise in continuous surface growth models

Author(s)

RAOUFI DAVOOD | Rostami Mahmood | Ghasemi Nezhadhaghighi Mohsen | Issue Writer Certificate

Keywords

Surface growthQ1

Mullins–Herring modelQ1

RoughnessQ1

CriticalityQ2

Quenched noiseQ1

Abstract

The Mullins– Herring equation is an important model in Surface growth. This research aimed to explore Quenched noise on this model using a new approach. The key point in this model is combination of the external force on the interface and Quenched noise on one part with its strength adjusted with an external controllable parameter, g. It is shown that the dynamics of this model for some values of g have critical behaver. Also, our calculations show that, for g = 1 and 2 values there is no phase transition. The important feature of Criticality is the existence of scaling exponents which in this study were computed numerically. As a result, for g = 3 the critical point was obtained (0. 6504). At this point, the total Roughness exponent and local Roughness exponent were obtained (1. 410 and 1. 011), respectively. The inequality of these two values, that is the total and local Roughness exponents, is one of the most important effects of Quenched noise in growth models which indicates the variation in structure of the produced surface.

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APA: Copy

RAOUFI, DAVOOD, Rostami, Mahmood, & Ghasemi Nezhadhaghighi, Mohsen. (2017). Investigating the effect of quenched noise in continuous surface growth models. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 7(13 ), 87-94. SID. https://sid.ir/paper/243767/en

Vancouver: Copy

RAOUFI DAVOOD, Rostami Mahmood, Ghasemi Nezhadhaghighi Mohsen. Investigating the effect of quenched noise in continuous surface growth models. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2017;7(13 ):87-94. Available from: https://sid.ir/paper/243767/en

IEEE: Copy

DAVOOD RAOUFI, Mahmood Rostami, and Mohsen Ghasemi Nezhadhaghighi, “Investigating the effect of quenched noise in continuous surface growth models,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 7, no. 13 , pp. 87–94, 2017, [Online]. Available: https://sid.ir/paper/243767/en

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