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The collective phenomena in physics and cooperative phenomena in biology/chemistry is compared in terms of the variational description. The maximum energy dissipation principle is employed and the cost-like functional is chosen according to…

Chemical Physics · Physics 2010-03-03 Adam Moroz

The interrelationship between energy and probability conservation is explored from the point of view of statistical physics and non-relativistic quantum mechanics. The simultaneous validity of the law of conservation of energy and the…

General Physics · Physics 2023-05-08 Victor Atanasov

We have considered a model of a small finite system with internal particles and surface degrees of freedom. All the main statistical distributions were explicitly obtained, on a pre thermodynamic limit basis. The concept of temperature or…

Statistical Mechanics · Physics 2025-08-11 D. M. Naplekov , V. V. Yanovsky

Physical reasoning is a core aspect of intelligence in animals and humans. A central question is what model should be used as a basis for reasoning. Existing work considered models ranging from intuitive physics and physical simulators to…

Robotics · Computer Science 2020-07-07 Marc Toussaint , Jung-Su Ha , Danny Driess

We consider the relationship between economic activity and intervention, including monetary and fiscal policy, using a universal dynamic framework. Central bank policies are designed for growth without excess inflation. However,…

Physics and Society · Physics 2018-01-01 Yaneer Bar-Yam , Jean Langlois-Meurinne , Mari Kawakatsu , Rodolfo Garcia

We build simple computational models of belief dynamics within the framework of discrete-spin statistical physics models, and explore how suitable they are for understanding and predicting real-world belief change on both the individual and…

Physics and Society · Physics 2018-07-10 Mirta Galesic , Daniel L. Stein

This essay provides a critical overview of the mathematical kinetic theory of active particles, which is used to model and study collective systems consisting of interacting living entities, such as those involved in behavior and evolution.…

Physics and Society · Physics 2025-10-17 Marina Dolfin , Leone Leonida

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

I contrast two possible attitudes towards a given branch of physics: as inferential (i.e., as concerned with an agent's ability to make predictions given finite information), and as dynamical (i.e., as concerned with the dynamical equations…

Quantum Physics · Physics 2013-06-21 David Wallace

Increasingly, a huge amount of statistics have been gathered which clearly indicates that income and wealth distributions in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas…

General Finance · Quantitative Finance 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

Disordered and frustrated graphical systems are ubiquitous in physics, biology, and information science. For models on complete graphs or random graphs, deep understanding has been achieved through the mean-field replica and cavity methods.…

Statistical Mechanics · Physics 2012-04-10 Haijun Zhou , Chuang Wang , Jing-Qing Xiao , Zedong Bi

Calculating relative free energies is a topic of substantial interest and has many applications including solvation and binding free energies, which are used in computational drug discovery. However, there remain the challenges of accuracy,…

Chemical Physics · Physics 2016-09-28 Asaf Farhi , Bipin Singh

We introduce a general modeling framework to predict the outcomes, at the population level, of individual psychology and behavior. The framework prescribes that researchers build a cost function that embodies knowledge of what trait values…

Physics and Society · Physics 2007-05-23 Pierluigi Contucci , Stefano Ghirlanda

Mnay models situated in the current research landscape of modelling and simulating social processes have roots in physics. This is visible in the name of specialties as Econophysics or Sociophysics. This chapter describes the history of…

History and Philosophy of Physics · Physics 2014-12-09 Werner Ebeling , Andrea Scharnhorst

Metadynamics is an established sampling method aimed at reconstructing the free-energy surface relative to a set of appropriately chosen collective variables. In standard metadynamics the free-energy surface is filled by the addition of…

Statistical Mechanics · Physics 2012-07-11 Davide Branduardi , Giovanni Bussi , Michele Parrinello

We propose a concept of autonomous energy transducer at a molecular scale, where output is produced with small input energy, of the same order of the thermal energy, without restriction of magnitude or timing of input, and without any…

Condensed Matter · Physics 2016-08-31 Naoko Nakagawa , Kunihiko Kaneko

The fact that accurately predicted information can serve as an energy source paves the way for new approaches to autonomous learning. The energy derived from a sequence of successful predictions can be recycled as an immediate incentive and…

Emerging Technologies · Computer Science 2024-07-09 Alex Ushveridze

All living things exhibit adaptations that enable them to survive and reproduce in the natural environment that they inhabit. From a biological standpoint, it has long been understood that adaptation comes from natural selection, whereby…

Biological Physics · Physics 2016-06-22 Nikolai Perunov , Robert Marsland , Jeremy England

Self-propulsion allows living systems to display unusual collective behavior. Unlike passive systems in thermal equilibrium, active matter systems are not constrained by conventional thermodynamic laws. A question arises however as to what…

Soft Condensed Matter · Physics 2015-03-18 Sho C. Takatori , John F. Brady
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