DataVXPhysical Review BPaper
journal article·2023-01-24Open access

Dynamics of fluctuations and thermal buckling in graphene from a phase-field crystal model

Enzo Granato, K. R. Elder, S. C. Ying, T. Ala-Nissila

Physical Review B· Volume 107· Issue 3
Publisher pageOpen full text
Source abstract

Abstract

We study the effects of thermal fluctuations and pinned boundaries in graphene membranes by using a phase-field crystal model with out-of-plane deformations. For sufficiently long times, the linear diffusive behavior of height fluctuations in systems with free boundaries becomes a saturation regime, while at intermediate times the behavior is still subdiffusive as observed experimentally. Under compression, we find mirror buckling fluctuations where the average height changes from above to below the pinned boundaries, with the average time between fluctuations diverging below a critical temperature corresponding to a thermally induced buckling transition. Near the transition, we find a nonlinear height response in agreement with recent renormalization-group calculations and observed in experiments on graphene membranes under an external transverse force with clamped boundaries.
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Research context

Nanomaterials

OpenAlex topics: Graphene research and applications · Theoretical and Computational Physics · Advanced Materials and Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Instituto Nacional de Pesquisas Espaciais, 12227-010 São José dos Campos, SP, Brazil

Department of Physics, P.O. Box 1843, Brown University, Providence, Rhode Island 02912-1843, USA

Department of Physics, Oakland University, Rochester, Michigan 48309, USA

QTF Centre of Excellence, Department of Applied Physics, Aalto University School of Science, P.O. Box 11000, FI-00076 Aalto, Espoo, Finland

Interdisciplinary Centre for Mathematical Modelling, Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom

Funding

Conselho Nacional de Desenvolvimento Científico e Tecnológico · National Science Foundation · Academy of Finland

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