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Characterization of Thermal Transport in One-dimensional Solid Materials

Characterization of Thermal Transport in One-dimensional Solid Materials

Published on: January 26, 2014

Evidence for fast thermalization in the plane-wave matrix model.

Curtis T Asplund¹, David Berenstein, Diego Trancanelli

¹Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106, USA.

Physical Review Letters

|November 24, 2011

Summary

Numerical simulations show that D-brane collisions in plane-wave geometry can form black holes. Including quantum fluctuations, the system rapidly collapses and thermalizes, indicating fast thermalization.

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Area of Science:

High Energy Physics
String Theory
Quantum Gravity

Background:

The plane-wave matrix model describes dynamics of D-branes in specific curved spacetime backgrounds.
Semiclassical initial conditions are used to explore the transition to a thermalized state, potentially dual to black hole formation.

Purpose of the Study:

To numerically simulate the classical evolution of the plane-wave matrix model with semiclassical initial conditions.
To investigate the formation of black holes from D-brane collisions in plane-wave geometry.
To analyze the effects of quantum fluctuations on system dynamics and thermalization.

Main Methods:

Numerical simulation of the classical evolution of the plane-wave matrix model.
Utilizing semiclassical initial conditions, including a D2-brane (fuzzy sphere) and a D0 particle.
Incorporating quantum fluctuations of off-diagonal modes in the initial setup.

Main Results:

Observed thermalization for some initial conditions, dual to black hole formation.
A specific configuration (D2-brane + D0 particle) collapses to a small size when quantum fluctuations and sufficient kinetic energy are included.
Evidence for fast thermalization, characterized by rapidly decaying autocorrelation functions.

Conclusions:

The plane-wave matrix model with semiclassical initial conditions can lead to black hole formation through D-brane collisions.
Quantum fluctuations play a crucial role in the collapse and rapid thermalization of the system.
The study provides insights into the holographic principle and the emergence of spacetime from quantum dynamics.