Driven and non-driven surface chaos in spin-glass sponges

Yiğit Ertaç Pektaş, E. Can Artun and A. Nihat Berker

Chaos, Solitons & Fractals, 2023, vol. 176, issue C

Abstract: A spin-glass system with a smooth or fractal outer surface is studied by renormalization-group theory, in bulk spatial dimension d=3. Independently varying the surface and bulk random-interaction strengths, phase diagrams are calculated. The smooth surface does not have spin-glass ordering in the absence of bulk spin-glass ordering and always has spin-glass ordering when the bulk is spin-glass ordered. With fractal (d>2) surfaces, a sponge is obtained and has surface spin-glass ordering also in the absence of bulk spin-glass ordering. The phase diagram has the only-surface-spin-glass ordered phase, the bulk and surface spin-glass ordered phase, and the disordered phase, and a special multicritical point where these three phases meet. All spin-glass phases have distinct chaotic renormalization-group trajectories, with distinct Lyapunov and runaway exponents which we have calculated.

Keywords: Spin-glass chaos; Surface chaos; Spontaneous and driven chaos; Chaos on fractals; Lyapunov Exponents; Chaos multicritical point (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010615

DOI: 10.1016/j.chaos.2023.114159

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