Phase transition in an exactly solvable extinction model.
نویسندگان
چکیده
We introduce a model of biological evolution in which species evolve in response to biotic interactions and fluctuating environmental stress. The species may either become extinct or mutate to acquire a new fitness value when the effective stress level is greater than their individual fitness. The model exhibits a phase transition to a completely extinct phase as the environmental stress or the mutation rate is varied. We discuss the generic conditions for which this transition is continuous. The model is exactly solvable and the critical behavior is characterized by an unusual dynamic exponent z=1/3. Apart from predicting large-scale evolution, the model can be applied to understand the trends in the available fossil data.
منابع مشابه
Topological quantum phase transition in an exactly solvable model of a chiral spin liquid at finite temperature
We study the finite-temperature nature of a quantum phase transition between an Abelian and a non-Abelian topological phase in an exactly solvable model of the chiral spin liquid of Yao and Kivelson Phys. Rev. Lett. 99, 247203 2007 . As it is exactly solvable, this model can serve as a testbed for developing better measures for describing topological quantum phase transitions. We use the global...
متن کاملOn the exactly-solvable pairing models for bosons.
On the exactly-solvable pairing models for bosons. Abstract We propose the new exactly solvable pairing model for bosons corresponding to the attractive pairing interaction. Using the electrostatic analogy, the solution of this model in thermodynamic limit is found. The transition from the superfluid phase with the Bose condensate and the Bogoliubov-type spectrum of excitations in the weak coup...
متن کاملIon-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
It is known that arrays of trapped ions can be used to efficiently simulate a variety of many-body quantum systems. Here we show how it is possible to build a model representing a spin chain interacting with bosons that is exactly solvable. The exact spectrum of the model at zero temperature and the ground-state properties are studied. We show that a quantum phase transition occurs when the cou...
متن کامل- th / 9 61 00 45 v 1 2 9 O ct 1 99 6 Neutron - Proton Correlations in an Exactly Solvable Model
We examine isovector and isoscalar neutron-proton correlations in an exactly solvable model based on the algebra SO(8). We look particularly closely at Gamow-Teller strength and double beta decay, both to isolate the effects of the two kinds of pairing and to test two approximation schemes: the renor-malized neutron-proton QRPA (RQRPA) and generalized BCS theory. When isoscalar pairing correlat...
متن کاملPhase transition in an exactly solvable reaction-diffusion process.
We study a nonconserved one-dimensional stochastic process which involves two species of particles A and B. The particles diffuse asymmetrically and react in pairs as A∅↔AA↔BA↔A∅ and B∅↔BB↔AB↔B∅. We show that the stationary state of the model can be calculated exactly by using matrix product techniques. The model exhibits a phase transition at a particular point in the phase diagram which can b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 84 6 Pt 1 شماره
صفحات -
تاریخ انتشار 2011