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Reinterpreting the Intention of a Stock Investor by using the Linear Gas Model
New Phys.: Sae Mulli 2019; 69: 1281~1287
Published online December 31, 2019;
© 2019 New Physics: Sae Mulli.

Sangup PARK*

Department of Nano Advanced Materials Engineering, JeonJu University, Jeonju 55069, Korea
Correspondence to:
Received September 26, 2019; Revised October 17, 2019; Accepted October 17, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
An economic function of a power-law type can be constructed from the daily stock price flow by using the discrete Fourier transform. The self-similarity of the function may be the solution to the fractional differential equation of the nonlocal Hamiltonian equation. We take the Riemann-Liouville fractional derivative of the fractional integral kernel. The kernel can be interpreted as the probability for the plausibility of the investor's intention. Also, the kernel can be rewritten according to the linear gas model of stable sizable particles. The size and the number of particles can be interpreted as the intentional size and the number of investors. The investor's intention and the number are related to the detuning variable and the power of the function, respectively. Thus, we see that the economic function shows the structure of s stock market with investors and their intentions.
PACS numbers: 02.60.Nm, 02.30.Nw, 51.30.+i, 05.40.Fb
Keywords: Linear gas model, Daily stock price, Investor intension, Fractional derivative, Self-similarity

January 2020, 70 (1)
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