Driven and Non-Driven Surface Chaos in Spin-Glass Sponges
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| Format: | Preprint |
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2023
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| _version_ | 1866915153157554176 |
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| author | Pektaş, Yiğit Ertaç Artun, E. Can Berker, A. Nihat |
| author_facet | Pektaş, Yiğit Ertaç Artun, E. Can Berker, A. Nihat |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_05561 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Driven and Non-Driven Surface Chaos in Spin-Glass Sponges Pektaş, Yiğit Ertaç Artun, E. Can Berker, A. Nihat Disordered Systems and Neural Networks 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. |
| title | Driven and Non-Driven Surface Chaos in Spin-Glass Sponges |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2309.05561 |