curl --request POST \
--url https://api.fincept.in/quantlib/physics/ising/critical-temperature \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '{
"J": 1
}'{
"success": true,
"data": {
"critical_temperature": 2.269,
"coupling_constant": 1
}
}{
"detail": "Invalid API key"
}{
"detail": "Insufficient credits. This endpoint requires 5 credits."
}{
"detail": [
{
"loc": [
"<string>"
],
"msg": "<string>",
"type": "<string>"
}
]
}quantlib-physics
Calculate 2D Ising Model Critical Temperature
Calculates the exact critical temperature for the 2D Ising model on a square lattice. At the critical temperature T_c, the system undergoes a second-order phase transition from ordered (ferromagnetic) to disordered (paramagnetic) phase. The critical temperature is given by Onsager’s exact solution.
Use Cases:
- Identify phase transition thresholds in financial systems
- Critical points for market regime changes
- Systemic risk tipping points
- Percolation and contagion thresholds
- Universality class analysis
Formula (Onsager): T_c = 2J / [ln(1 + √2)] ≈ 2.269 J
Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]
POST
/
quantlib
/
physics
/
ising
/
critical-temperature
curl --request POST \
--url https://api.fincept.in/quantlib/physics/ising/critical-temperature \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '{
"J": 1
}'{
"success": true,
"data": {
"critical_temperature": 2.269,
"coupling_constant": 1
}
}{
"detail": "Invalid API key"
}{
"detail": "Insufficient credits. This endpoint requires 5 credits."
}{
"detail": [
{
"loc": [
"<string>"
],
"msg": "<string>",
"type": "<string>"
}
]
}Authorizations
API key for authentication. Get your key at https://api.fincept.in/auth/register
Body
application/json
Coupling constant (interaction strength)
Example:
1
⌘I