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Memory engine : Self-organized coherence from internal feedback

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00009179
URN to cite this document: urn:nbn:de:bvb:703-epub-9179-2

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Sarkar, Aranyak:
Memory engine : Self-organized coherence from internal feedback.
In: Physical Review E. Vol. 112 (2025) . - 054111.
ISSN 2470-0053
DOI der Verlagsversion: https://doi.org/10.1103/t7nk-4p57

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Abstract

We present a continuous-space realization of the coupled memory graph process, a minimal non-Markovian framework in which coherence emerges through internal feedback. A single Brownian particle evolves on a viscoelastic substrate that records its trajectory as a scalar memory field and exerts local forces via the gradient of accumulated imprints. This autonomous, closed-loop dynamics generates structured, phase-locked motion without external forcing. The system is governed by coupled integro-differential equations: the memory field evolves as a spatiotemporal convolution of the particle's path, while its velocity responds to the gradient of this evolving field. Simulations reveal a sharp transition from unstructured diffusion to coherent burst-trap cycles, controlled by substrate stiffness and marked by multimodal speed distributions, directional locking, and spectral entrainment. This coherence point aligns across three axes: (i) saturation of memory energy, (ii) peak transfer entropy, and (iii) a bifurcation in transverse stability. We interpret this as the emergence of a memory engine—a self-organizing mechanism converting stored memory into predictive motion—illustrating that coherence arises not from tuning, but from coupling.

Further data

Item Type: Article in a journal
DDC Subjects: 500 Science > 530 Physics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics I - Physics of Living Matter
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-9179-2
Date Deposited: 11 May 2026 10:26
Last Modified: 11 May 2026 10:27
URI: https://epub.uni-bayreuth.de/id/eprint/9179

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