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Originally, the Carnot cycle is a theoretical thermodynamic cycle that provides an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a…

General Finance · Quantitative Finance 2018-12-20 Constantin Udriste , Vladimir Golubyatnikov , Ionel Tevy

By treating the financial market as a thermodynamic system, we establish a one-to-one correspondence between thermodynamic variables and economic quantities. Measured by the expected loss under the worst-case scenario, financial risk caused…

Risk Management · Quantitative Finance 2019-04-02 Yu Feng

This paper introduces a novel approach to financial crisis prediction by establishing a thermodynamic-like framework derived from the fluctuation theorem of statistical physics. We define market temperature through the probability ratio of…

Motivated by empirical observations on the interplay of trends and reversion, a lattice gas model of financial markets is presented. The shares of an asset are modeled by gas molecules that are distributed across a hidden social network of…

Statistical Finance · Quantitative Finance 2022-03-02 Christof Schmidhuber

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

General Finance · Quantitative Finance 2021-02-03 Sergey Rashkovskiy

Recently, a formal analogy between the fluctuating diffusivity and thermodynamics has been proposed based on phenomena of heterogeneous diffusion observed in living cells. This not only offers the analogs of the quantity of heat and work as…

Statistical Mechanics · Physics 2025-09-16 Yuichi Itto

A thermodynamic approach to the description of economic systems and processes is developed. It is shown that there is a deep analogy between the parameters of thermodynamic and economic systems (markets); so each thermodynamic parameter can…

General Physics · Physics 2021-08-18 Sergey Rashkovskiy

According to the laws of thermodynamics, no heat engine can beat the efficiency of a Carnot cycle. This efficiency traditionally comes with vanishing power output and practical designs, optimized for power, generally achieve far less.…

Statistical Mechanics · Physics 2018-09-26 Viktor Holubec , Artem Ryabov

The minimal set of thermodynamic control parameters consists of a statistical (thermal) and a mechanical one. These suffice to introduce all the pertinent thermodynamic variables; thermodynamic processes can then be defined as paths on this…

Statistical Mechanics · Physics 2009-11-13 Jan Birjukov , Thomas Jahnke , Günter Mahler

A theoretical thermodynamic cycle more efficient than an infinite set of Carnot engines is presented. This result is unexpected from the point of view of classical thermodynamics.

General Physics · Physics 2009-01-06 Jose Belandria

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic…

Statistical Finance · Quantitative Finance 2011-05-26 H. Quevedo , M. N. Quevedo

The Carnot cycle is a prototype of ideal heat engine to draw mechanical energy from the heat flux between two thermal baths with the maximum efficiency, dubbed as the Carnot efficiency $\eta_{\mathrm{C}}$. Such efficiency can only be…

Statistical Mechanics · Physics 2022-06-22 Ruo-Xun Zhai , Fang-Ming Cui , Yu-Han Ma , C. P. Sun , Hui Dong

A dynamical model of a highly efficient heat engine is proposed, where an applied temperature difference maintains the motion of particles around the circuit consisting of two asymmetric narrow channels, in one of which the current flows…

Statistical Mechanics · Physics 2022-10-06 Giuliano Benenti , Giulio Casati , Fabio Marchesoni , Jiao Wang

The document discusses the financial climate risk in the context of the banking industry, emphasizing the need for a comprehensive understanding of climate change across different spatial and temporal scales. It highlights the challenges in…

General Economics · Economics 2024-05-29 Victor Cardenas

This paper develops a comprehensive theoretical framework that imports concepts from stochastic thermodynamics to model price impact and characterize the feasibility of round-trip arbitrage in financial markets. A trading cycle is treated…

Mathematical Finance · Quantitative Finance 2025-12-04 Amit Kumar Jha

Achieving the Carnot efficiency at finite power is a challenging problem in heat engines due to the trade-off relation between efficiency and power that holds for general heat engines. It is pointed out that the Carnot efficiency at finite…

Statistical Mechanics · Physics 2022-03-03 Kosuke Miura , Yuki Izumida , Koji Okuda

In this paper, we test predictions of a new theory of macroeconomics, called "thermal macroeconomics." The theory aims to apply the mathematical structure of classical thermodynamics, including analogues of temperature and entropy, to…

General Economics · Economics 2024-10-29 Yihang Luo , R. S. MacKay , Nick Chater

The present paper analyses the formal parallelism existing between the laws of thermodynamics and some economic principles. Based on previous works, we shall show how the existence in Economics of principles analogous to those in…

General Finance · Quantitative Finance 2015-05-05 J. L. Subias

Heat engines that convert thermal energy into work are a cornerstone of classical thermodynamics and remain an active area of contemporary research. Notable examples include microscopic heat engines, trade-off relations between power and…

Statistical Mechanics · Physics 2026-04-07 Gustavo A. L. Forão , Arya Datta , Carlos E. Fiore , Andre C. Barato

This paper develops a unified framework in which economic dynamics is treated as evolutionary process analogous to those studied in natural sciences, including physics. Using methods from gauge field theory and plasticity, we show that the…

Theoretical Economics · Economics 2025-12-18 Anton Samokish , Valeriy Egorushkin
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