Titlebook: Stochastic Exponential Growth and Lattice Gases; Statistical Mechanic Dan Pirjol Book 2022 The Author(s), under exclusive license to Spring

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Book 2022rkov process. These growth processes appear naturally in problems of mathematical finance as discrete time approximations of stochastic volatility models and stochastic interest rates models such as the Black-Derman-Toy and Black-Karasinski models. These processes can be mapped to interacting one-di

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Stochastic Growth Processes with Exponential Growth Rates,t model of this type is the Black-Derman-Toy (BDT) model, where the interest rate is assumed to follow a geometric Brownian motion. The growth rate of the bank account in the BDT model compounding interest at a stochastic interest rate is computed exactly and shown to have a discontinuous behavior s

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One-Dimensional Lattice Gases with Linear Interaction,lustrate the mean-field theory and the appearance of phase transitions. The 1D lattice gas with n sites and linear interaction potential in an external field . is introduced and studied. The exact solution of this system is obtained in the isothermal-isobaric ensemble and shown to have a phase trans

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One-Dimensional Lattice Gas with Exponential Attractive Potentials,his system is derived, in the grand canonical ensemble, taking the thermodynamical limit . at fixed ratio of the interaction range to the lattice size .. The existence of a phase transition at finite a is demonstrated explicitly. The solution reduces to the van der Waals theory in the limit ..

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Marketing and Business Ethics,g audiences using emotional triggers, showcasing unprivileged people‘s miseries, and maintaining consistency in truth claims. The second case is on the Ready-Made Garment (RMG) industry of Bangladesh, which transformed itself from the least compliant RMG to one of the most compliant green RMG indust

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