Author(s)

Sourabh Banerjee ¹, Abhijit Kar Gupta ²

Affiliation(s)

¹ Department of Physics, Government General Degree College at Kushmandi, P.O. Kalikamora, South Dinajpur, Pin: 733 121, WB, India
² Department of Physics (UG & PG), Panskura Banamali College (autonomous), Panskura R.S., East Midnapore, Pin: 721 152, WB, India

Corresponding Author

Abhijit Kar Gupta

ABSTRACT

Noise is known to disrupt a preferred act or motion. Yet, noise and broken symmetry in asymmetric potential, together, can make a directed motion possible, in fact essential in some cases. In Biology, in order to understand the motions of molecular motors in cells ratchets are imagined as useful models. Besides, there are optical ratchets and quantum ratchets considered in order to understand corresponding transport phenomena in physics. The discretized actions of ratchets can be well understood in terms of probabilistic gambling games which are of immense interest in Control theory – a powerful tool in physics, engineering, economics, biology and social sciences.

KEYWORDS

Paradox, Ratchet, Brownian, Game, Gamble, Gambling, probabilistic game, coin tossing, Noise, Molecular motor.

CITE THIS PAPER

Abhijit Kar Gupta, Sourabh Banerjee, Parrondo’s Paradox: Gambling games from noise induced transport - a new study. Journal of Physics Through Computation(2018) 1: 1-7.

REFERENCES

[1] Parrondo J. M.R. (1996), How to cheat a bad mathematician,  EEC HC&M Network on Complexity and Chaos (#ERBCHRX-CT940546), ISI, Torino, Italy  (unpublished).
[2] Parrondo J. M.R., Dinis L. (2004), Brownian motion and gambling: from ratchets to paradoxical games, Contemporary Physics, 45 (2), 147-157; arXiv:1410.0485v1 [physics.soc-ph]. 
[3] Dinis L., Parrondo J.M.R. (2003), Optimal strategies in collective Parrondo games, Europhys. Lett., 63, 319-325.
[4] Shu Jian-Jun, Wang Qi-Wen (2014), Beyond Parrondo’s Paradox, Sci. Rep., 4, 4244; DOI:10.1038/srep04244.
[5]Parrondo J.M.R., Harmer George P., and Abbott D. (2000), New Paradoxical Games Based on Brownian Ratchets, Phys. Rev. Lett., 85, 5226.
[6] Harmer G.P. and D. Abbott (1999), Game Theory – Losing strategies can win by Parrondo’s paradox, Nature (London) 402, 846.
[7] Astumian R.D., H nggi P., Brownian Motors (2002), Phys. Today, Nov., 33-39.

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