Explaining the Emergence of Cooperative Phenomena
Bibliographic Data
| ID | 10707641 |
|---|---|
| Authors | Chuang Liu (0000-0002-5573-738X, University of Florida, corresponding author) |
| Year | 1999 |
| Volume | 66 |
| Issue | S3 |
| Pages | S92-S106 |
| Publication date | 1999-01-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1086/392718 |
| OpenAlex | W2049817757 |
| Language | EN |
| Citations received | 21 |
| References cited | 14 |
Phase transitions are well-understood phenomena in thermodynamics (TD), but it turns out that they are mathematically impossible in finite SM systems. Hence, phase transitions are truly emergent properties. They appear again at the thermodynamic limit (TL), i.e., in infinite systems. However, most, if not all, systems in which they occur are finite, so whence comes the justification for taking TL? The problem is then traced back to the TD characterization of phase transitions, and it turns out that the characterization is the result of serious idealizations which under suitable circumstances approximate actual conditions
Characterization (materials science) · Limit (mathematics) · Mathematical analysis · Mathematical economics · Phase (matter) · Phase transition · Physics · Quantum mechanics · Statistical physics · Theoretical physics · Thermodynamic limit · Thermodynamics · Advanced Thermodynamics and Statistical Mechanics · Mathematics · Statistical Mechanics and Entropy · Theoretical and Computational Physics
Physical Emergence, Diachronic And Synchronic
Infinite idealization and contextual realism
Mathematical Rigor in Physics
Understanding Thermodynamic Singularities
Taking Thermodynamics Too Seriously
Critical phenomena and breaking drops
The infinite limit as an eliminable approximation for phase transitions
Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov–Bohm effect
Thermal substances
Combining finite and infinite elements
Discontinuities and singularities, data and phenomena
The modular structure of physical theories
Infinite lies and explanatory ties
Finite-size scaling theory
Approximation and Idealization
On the Role of Bridge Laws in Intertheoretic Relations
Chaos and Fundamentalism
Infinite Systems in SM Explanations
What Is the Paradox of Phase Transitions
Intertheoretical relationships based on three-model framework
Infinite idealizations in physics
| Unique citing works | 21 |
|---|---|
| Citations per year | 0,81 |
| Citation span | 2000 - 2025 (26) |
| Citation velocity | recent |
| Highly cited | No |
| Citation types | Neutral: 21 |