316090fec7d374b2fae759e9365c23fd Ent_a2023v25n11p1529.pdf baf2d1441db660df2b5c891425622d1560b61e3c Ent_a2023v25n11p1529.pdf 9cb7d8dc06f679a91e6b01e674b84b05354d1b8d620db28de601b850fde02056 Ent_a2023v25n11p1529.pdf Title: Random Walks on Comb-like Structures under Stochastic Resetting Subject: We study the long-time dynamics of the mean squared displacement of a random walker moving on a comb structure under the effect of stochastic resetting. We consider that the walker's motion along the backbone is diffusive and it performs short jumps separated by random resting periods along fingers. We take into account two different types of resetting acting separately: global resetting from any point in the comb to the initial position and resetting from a finger to the corresponding backbone. We analyze the interplay between the waiting process and Markovian and non-Markovian resetting processes on the overall mean squared displacement. The Markovian resetting from the fingers is found to induce normal diffusion, thereby minimizing the trapping effect of fingers. In contrast, for non-Markovian local resetting, an interesting crossover with three different regimes emerges, with two of them subdiffusive and one of them diffusive. Thus, an interesting interplay between the exponents characterizing the waiting time distributions of the subdiffusive random walk and resetting takes place. As for global resetting, its effect is even more drastic as it precludes normal diffusion. Specifically, such a resetting can induce a constant asymptotic mean squared displacement in the Markovian case or two distinct regimes of subdiffusive motion in the non-Markovian case. Keywords: anomalous diffusion; random walks; stochastic resetting Author: Axel Masó-Puigdellosas, Trifce Sandev and Vicenç Méndez Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Fri Nov 10 09:40:04 2023 CET ModDate: Fri Nov 10 09:42:34 2023 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 14 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 417192 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- JNPJVY+URWPalladioL-Bold Type 1 Custom yes yes no 10 0 AGGUNR+URWPalladioL-Roma Type 1 Custom yes yes no 15 0 EQLWBN+URWPalladioL-Ital Type 1 Custom yes yes no 19 0 WZYZHW+CMSY10 Type 1 Builtin yes yes no 23 0 SYFPBV+CMMI10 Type 1 Builtin yes yes no 27 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 31 0 PLNRUE+PazoMath-Italic Type 1 Builtin yes yes no 35 0 WFMTKF+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 54 0 JNKECP+PazoMath Type 1 Builtin yes yes no 76 0 KDXETJ+CMEX10 Type 1 Builtin yes yes no 80 0 DTCDWP+MathematicaSans TrueType WinAnsi yes yes yes 108 0 ZIFGTJ+Arial-ItalicMT TrueType WinAnsi yes yes yes 112 0 XABQLY+ArialMT TrueType WinAnsi yes yes yes 116 0 PUPVOO+MathematicaSans TrueType WinAnsi yes yes yes 123 0 ZIFGTJ+Arial-ItalicMT TrueType WinAnsi yes yes yes 127 0 FSUGRE+ArialMT TrueType WinAnsi yes yes yes 131 0 PUPVOO+MathematicaSans TrueType WinAnsi yes yes yes 147 0 ZIFGTJ+Arial-ItalicMT TrueType WinAnsi yes yes yes 151 0 FJKZQH+ArialMT TrueType WinAnsi yes yes yes 155 0 DTCDWP+MathematicaSans TrueType WinAnsi yes yes yes 162 0 ZIFGTJ+Arial-ItalicMT TrueType WinAnsi yes yes yes 166 0 XABQLY+ArialMT TrueType WinAnsi yes yes yes 170 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-11-23 02:35:37 CET RepresentationInformation: Ent_a2023v25n11p1529.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-11-22 16:31:16 CET Size: 417192 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 432 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4d3167f4 Item: Title: A Langevin Equation Approach to Random Walks on Combs Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@ed9d034 Item: Title: Random Walks on Combs under Resetting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6121c9d6 Children: Item: Title: Resetting Process Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@87f383f Item: Title: Resetting in Fingers Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4eb7f003 Children: Item: Title: Markovian Resetting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@eafc191 Item: Title: Non-Markovian Resetting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@612fc6eb Item: Title: Global Resetting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1060b431 Children: Item: Title: Markovian Resetting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@612679d6 Item: Title: Non-Markovian Resetting Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@11758f2a Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@e720b71 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1b26f7b2 Info: Title: Random Walks on Comb-like Structures under Stochastic Resetting Author: Axel Masó-Puigdellosas, Trifce Sandev and Vicenç Méndez Subject: We study the long-time dynamics of the mean squared displacement of a random walker moving on a comb structure under the effect of stochastic resetting. We consider that the walker's motion along the backbone is diffusive and it performs short jumps separated by random resting periods along fingers. We take into account two different types of resetting acting separately: global resetting from any point in the comb to the initial position and resetting from a finger to the corresponding backbone. We analyze the interplay between the waiting process and Markovian and non-Markovian resetting processes on the overall mean squared displacement. The Markovian resetting from the fingers is found to induce normal diffusion, thereby minimizing the trapping effect of fingers. In contrast, for non-Markovian local resetting, an interesting crossover with three different regimes emerges, with two of them subdiffusive and one of them diffusive. Thus, an interesting interplay between the exponents characterizing the waiting time distributions of the subdiffusive random walk and resetting takes place. As for global resetting, its effect is even more drastic as it precludes normal diffusion. Specifically, such a resetting can induce a constant asymptotic mean squared displacement in the Markovian case or two distinct regimes of subdiffusive motion in the non-Markovian case. 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