journal article·2023-11-01Open access

Correlated random walk and noise suppression in detecting electric fields

Fei Wan, Li-Hua Lu, You-Quan Li

AIP Advances· Volume 13· Issue 11

Abstract

Detecting a weak electric field in a strong noisy background is always an interesting but hard task. We investigate the collective effects of charged Brownian particles in the presence of a weak electric field together with a strong noisy background field by numerical simulation. We show that the pattern formed by snapshots touched by the Brownian particles on one boundary surface can manifest the direction of an applied weak electric field but will be spoiled if there exists a strong noisy background. Moreover, we find that the influence of noise can be suppressed effectively if the correlations caused by the inter-particle electric interaction are taken into account. This work is expected to provide a new angle of view: correlated random walk plays a constructive role in noise suppression.
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Research context

OpenAlex topics: Diffusion and Search Dynamics · stochastic dynamics and bifurcation · Statistical Mechanics and Entropy

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

Affiliations

School of Physics, Nankai University 1 , Tianjin 300071, China

School of Physics, Zhejiang University 2 , Hangzhou 310058, People’s Republic of China

Theoretical Physics Division, Chern Institute of Mathematics, Nankai University 3 , Tianjin 300071, China

Collaborative Innovation Center of Advanced Microstructure, Nanjing University 4 , Nanjing 210008, China

Funding

National Key Research and Development Program of China · National Natural Science Foundation of China

References (34)

Show source-provided references
1. Physics in the noise10.1038/35079702 ↗
2. Detection algorithm for ship shaft-rate electric field signal based on wavelet scale correlation
3. Highly sensitive measurement of a megahertz rf electric field with a Rydberg-atom sensor10.1103/physrevapplied.18.014045 ↗
4. Weak magnetic anomaly signal detection based on the entropy of mixed differential signal10.1063/9.0000080 ↗
5. Über die von der molekularkinetischen theorie der wärme geforderte bewegung von in ruhenden flüssigkeiten suspendierten teilchen10.1002/andp.19053220806 ↗
6. Zur theorie der Brownschen bewegung10.1002/andp.19063240208 ↗
7. On the theory of the Brownian motion10.1103/physrev.36.823 ↗
8. The problem of the random walk10.1038/072294b0 ↗
9. The problem of the random walk10.1038/072318a0 ↗
10. The fractional Stokes–Einstein equation: Application to Lennard-Jones, molecular, and ionic liquids10.1063/1.3183951 ↗
11. The Stokes-Einstein relation for simple fluids: From hard-sphere to Lennard-Jones via WCA potentials10.1063/1.5054577 ↗
12. Testing the Stokes-Einstein relation with the hard-sphere fluid model10.1103/physreve.103.l030103 ↗
13. Test of the Stokes-Einstein relation in a two-dimensional Yukawa liquid10.1103/physrevlett.96.015005 ↗
14. New paths for random walkers10.1038/355396a0 ↗
15. Number of distinct sites visited by N random walkers10.1103/physreva.45.7128 ↗
16. Random walks on fractal structures and percolation clusters10.1051/jphyslet:0198300440101300 ↗
17. Mantegna · 2000
18. Multifractality in human heartbeat dynamics10.1038/20924 ↗
19. Lévy flight search patterns of wandering albatrosses10.1038/381413a0 ↗
20. Optimizing the success of random searches10.1038/44831 ↗
21. Random walk models in biology10.1098/rsif.2008.0014 ↗
22. Elephants can always remember: Exact long-range memory effects in a non-Markovian random walk10.1103/physreve.70.045101 ↗
23. Memory-induced anomalous dynamics: Emergence of diffusion, subdiffusion, and superdiffusion from a single random walk model10.1103/physreve.82.021101 ↗
24. Ultraslow diffusion in an exactly solvable non-Markovian random walk10.1103/physreve.89.052110 ↗
25. Amnestically induced persistence in random walks10.1103/physrevlett.98.070603 ↗
26. Elephant quantum walk10.1103/physreva.97.062112 ↗
27. Alzheimer random walk model: Two previously overlooked diffusion regimes10.1103/physreve.86.042101 ↗
28. Elephant random walks and their connection to Pólya-type urns10.1103/physreve.94.052134 ↗
29. Anomalous diffusion in non-Markovian walks having amnestically induced persistence10.1103/physreve.81.011125 ↗
30. Random diffusion models for animal movement10.1016/s0304-3800(97)00153-1 ↗
31. Correlated random walk equations of animal dispersal resolved by simulation10.1890/0012-9658(2001)082[1680:crweoa]2.0.co;2 ↗
32. Correction of diffusion calculations when using two types of non-rectangular simulation boxes in molecular simulations10.1007/s00894-018-3910-6 ↗
33. Transport coefficients of the TIP4P-2005 water model10.1063/1.3677196 ↗
34. Role of line defect in the bandgap and transport properties of silicene nanoribbons10.1103/physrevb.104.195413 ↗